Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/fb46b4da/HL_31/

number of processus

256

2. Physics

2.1. thermoelectric

2.1.1. insert

modeling

thermo-electric

type

thermoelectric

name

insert

materials

Conductor_H1

Conductor_H10

Conductor_H11

Conductor_H12

Conductor_H13

Conductor_H14

Conductor_H2

Conductor_H3

Conductor_H4

Conductor_H5

Conductor_H6

Conductor_H7

Conductor_H8

Conductor_H9

R1

R10

R11

R12

R13

R2

R3

R4

R5

R6

R7

R8

R9

iL1

oL2

Subphysics
electric

conductors

/ModelPhysic/object-2

heat

all

/ModelPhysic/object-1

3. Materials Properties

number of materials

43

3.1. Material : Conductor_H1

Name Expression Symbol Shape Components

electric-conductivity

5.24E7

materials_Conductor_H1_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H1_k

scalar

3.2. Material : Conductor_H10

Name Expression Symbol Shape Components

electric-conductivity

5.33E7

materials_Conductor_H10_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H10_k

scalar

3.3. Material : Conductor_H11

Name Expression Symbol Shape Components

electric-conductivity

5.38E7

materials_Conductor_H11_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H11_k

scalar

3.4. Material : Conductor_H12

Name Expression Symbol Shape Components

electric-conductivity

5.32E7

materials_Conductor_H12_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H12_k

scalar

3.5. Material : Conductor_H13

Name Expression Symbol Shape Components

electric-conductivity

4.65E7

materials_Conductor_H13_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H13_k

scalar

3.6. Material : Conductor_H14

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_Conductor_H14_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H14_k

scalar

3.7. Material : Conductor_H2

Name Expression Symbol Shape Components

electric-conductivity

5.33E7

materials_Conductor_H2_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H2_k

scalar

3.8. Material : Conductor_H3

Name Expression Symbol Shape Components

electric-conductivity

5.26E7

materials_Conductor_H3_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H3_k

scalar

3.9. Material : Conductor_H4

Name Expression Symbol Shape Components

electric-conductivity

5.28E7

materials_Conductor_H4_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H4_k

scalar

3.10. Material : Conductor_H5

Name Expression Symbol Shape Components

electric-conductivity

5.31E7

materials_Conductor_H5_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H5_k

scalar

3.11. Material : Conductor_H6

Name Expression Symbol Shape Components

electric-conductivity

5.32E7

materials_Conductor_H6_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H6_k

scalar

3.12. Material : Conductor_H7

Name Expression Symbol Shape Components

electric-conductivity

5.31E7

materials_Conductor_H7_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H7_k

scalar

3.13. Material : Conductor_H8

Name Expression Symbol Shape Components

electric-conductivity

5.19E7

materials_Conductor_H8_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H8_k

scalar

3.14. Material : Conductor_H9

Name Expression Symbol Shape Components

electric-conductivity

5.37E7

materials_Conductor_H9_sigma

scalar

thermal-conductivity

380.0

materials_Conductor_H9_k

scalar

3.15. Material : Insulator_H1

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H1_k

scalar

3.16. Material : Insulator_H10

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H10_k

scalar

3.17. Material : Insulator_H11

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H11_k

scalar

3.18. Material : Insulator_H12

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H12_k

scalar

3.19. Material : Insulator_H13

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H13_k

scalar

3.20. Material : Insulator_H14

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H14_k

scalar

3.21. Material : Insulator_H2

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H2_k

scalar

3.22. Material : Insulator_H3

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H3_k

scalar

3.23. Material : Insulator_H4

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H4_k

scalar

3.24. Material : Insulator_H5

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H5_k

scalar

3.25. Material : Insulator_H6

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H6_k

scalar

3.26. Material : Insulator_H7

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H7_k

scalar

3.27. Material : Insulator_H8

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H8_k

scalar

3.28. Material : Insulator_H9

Name Expression Symbol Shape Components

thermal-conductivity

380.0

materials_Insulator_H9_k

scalar

3.29. Material : R1

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R1_sigma

scalar

thermal-conductivity

320.0

materials_R1_k

scalar

3.30. Material : R10

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R10_sigma

scalar

thermal-conductivity

320.0

materials_R10_k

scalar

3.31. Material : R11

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R11_sigma

scalar

thermal-conductivity

320.0

materials_R11_k

scalar

3.32. Material : R12

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R12_sigma

scalar

thermal-conductivity

320.0

materials_R12_k

scalar

3.33. Material : R13

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R13_sigma

scalar

thermal-conductivity

320.0

materials_R13_k

scalar

3.34. Material : R2

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R2_sigma

scalar

thermal-conductivity

320.0

materials_R2_k

scalar

3.35. Material : R3

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R3_sigma

scalar

thermal-conductivity

320.0

materials_R3_k

scalar

3.36. Material : R4

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R4_sigma

scalar

thermal-conductivity

320.0

materials_R4_k

scalar

3.37. Material : R5

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R5_sigma

scalar

thermal-conductivity

320.0

materials_R5_k

scalar

3.38. Material : R6

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R6_sigma

scalar

thermal-conductivity

320.0

materials_R6_k

scalar

3.39. Material : R7

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R7_sigma

scalar

thermal-conductivity

320.0

materials_R7_k

scalar

3.40. Material : R8

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R8_sigma

scalar

thermal-conductivity

320.0

materials_R8_k

scalar

3.41. Material : R9

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_R9_sigma

scalar

thermal-conductivity

320.0

materials_R9_k

scalar

3.42. Material : iL1

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_iL1_sigma

scalar

thermal-conductivity

380.0

materials_iL1_k

scalar

3.43. Material : oL2

Name Expression Symbol Shape Components

electric-conductivity

5.025E7

materials_oL2_sigma

scalar

thermal-conductivity

380.0

materials_oL2_k

scalar

3.44. Multi-Materials

Name Expression Symbol Shape Components

electric-conductivity

concat(…​)

materials_sigma

scalar

thermal-conductivity

concat(…​)

materials_k

scalar

4. Meshes

4.1. Mesh : thermoelectric

Discretization

/Mesh/thermoelectric

filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

4.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

generate-partitioning

0

4.1.2. Discretization

dim

3

h_average

2.862525e-03

h_max

2.075160e-02

h_min

6.503055e-04

n_edges

27913534

n_elements

22401676

n_faces

46008143

n_partition

256

n_points

4306880

order

1

real_dim

3

shape

Simplex_3_1_3

partition id n_elements n_elements_with_ghost n_faces n_edges n_points

0

87082

94056

179427

109469

17125

1

86972

93785

179384

109618

17207

2

88128

95810

181921

111313

17521

3

87207

96505

179636

109545

17117

4

87043

96718

179256

109272

17060

5

87074

93770

179575

109726

17226

6

89192

97184

183679

111976

17490

7

86676

95059

180894

112497

18277

8

87312

94748

180908

111260

17665

9

87838

95242

182633

112919

18125

10

87884

95929

182161

112107

17831

11

87889

94691

182320

112327

17897

12

87885

94235

182252

112243

17877

13

87808

94087

182038

112048

17819

14

87743

94471

181958

112067

17853

15

86866

93490

180112

110880

17635

16

87200

96590

179591

109496

17106

17

87555

96334

180238

109809

17127

18

87442

95788

179930

109548

17061

19

87160

97137

179590

109563

17134

20

87596

96634

180323

109859

17133

21

87755

94950

181133

110831

17454

22

87755

94967

181049

110680

17387

23

86376

96989

178135

108823

17065

24

88033

96403

181461

110784

17357

25

87878

94746

181524

111184

17539

26

87782

97710

180849

110318

17252

27

87212

96004

179490

109307

17030

28

87710

96763

180571

110018

17158

29

86679

95886

178517

108826

16989

30

87782

95028

181206

110875

17452

31

87948

96918

181113

110409

17245

32

87356

94301

181361

111905

17900

33

87472

93891

181873

112475

18072

34

87798

95779

182020

112060

17839

35

87162

94807

180630

111143

17676

36

86908

95026

180157

110896

17648

37

87169

93139

181250

112099

18017

38

87880

95966

182159

112114

17836

39

87952

93991

182554

112595

17993

40

87105

95304

180134

110431

17403

41

87168

94871

180595

111033

17607

42

87431

98022

182170

113011

18272

43

87471

94657

181847

112393

18015

44

87689

93936

181741

111842

17791

45

87927

94846

182314

112281

17895

46

87467

93749

181432

111803

17839

47

87596

94773

181668

111903

17832

48

88139

96990

182046

111479

17573

49

87707

95085

181187

110986

17507

50

87261

93764

181137

111758

17883

51

86906

95693

179481

109878

17304

52

88164

97124

182160

111598

17603

53

87436

94379

181023

111246

17660

54

87439

95567

180553

110504

17391

55

88167

97628

182162

111603

17609

56

87087

95157

179889

110167

17366

57

87070

96588

179938

110275

17408

58

88774

97865

183387

112329

17717

59

87082

93252

180051

110426

17458

60

87560

96173

180829

110706

17438

61

87330

94574

180688

110942

17585

62

88075

97610

182069

111640

17647

63

87679

96495

181034

110793

17439

64

87160

94305

179722

109782

17221

65

87157

95289

179684

109728

17202

66

87741

95380

180875

110457

17324

67

88025

95656

181390

110720

17356

68

87289

94355

182078

113148

18357

69

87670

94227

182831

113575

18412

70

87052

95579

179468

109620

17205

71

87792

95256

180790

110231

17234

72

87303

94939

180795

111126

17635

73

85907

93400

177863

109276

17321

74

87647

95233

181437

111453

17664

75

87265

95357

180766

111151

17651

76

87391

94893

180882

111090

17600

77

87783

94075

181917

111929

17796

78

88083

96131

182440

112168

17812

79

87854

95825

181968

111880

17767

80

87697

96360

180523

110008

17183

81

87682

96812

180578

110126

17231

82

88137

97492

181547

110752

17343

83

87642

95953

180354

109838

17127

84

87210

95775

179491

109342

17062

85

87920

96780

181026

110359

17254

86

88052

96431

181244

110432

17241

87

87718

96872

180643

110149

17225

88

87184

95958

179501

109398

17082

89

87508

96589

180192

109863

17180

90

87467

95686

180105

109799

17162

91

88622

95587

183536

112888

17974

92

87508

94879

180530

110386

17365

93

87510

95779

180076

109669

17104

94

87552

94329

180728

110608

17433

95

87644

96126

180401

109928

17172

96

88775

91726

186865

117530

19440

97

86832

87788

188528

123771

22075

98

86919

92822

182228

114012

18703

99

87898

93822

182681

112869

18087

100

87301

94461

180753

111059

17608

101

87296

94639

180761

111091

17627

102

87537

95542

181261

111412

17689

103

87335

94619

180772

111036

17600

104

87822

94357

181787

111665

17701

105

87772

93709

182103

112237

17907

106

85178

91981

177611

110330

17893

107

86809

92791

179916

110697

17591

108

87581

95147

181271

111343

17654

109

87396

95069

180936

111183

17644

110

87616

95547

181499

111612

17730

111

87906

95863

182000

111839

17746

112

87302

95400

180224

110267

17346

113

87579

95560

180769

110584

17395

114

87971

96128

181619

111139

17492

115

87262

96251

180287

110430

17406

116

87903

96426

184551

115759

19105

117

87078

93563

180232

110704

17551

118

87913

94568

181684

111331

17561

119

87571

94482

180990

110929

17511

120

86235

92431

178149

109109

17196

121

87795

95475

182285

112517

18027

122

87610

95406

182219

112776

18166

123

87747

94888

181391

111207

17564

124

87606

95855

180858

110662

17411

125

87745

96019

181154

110862

17454

126

87390

95455

180437

110435

17389

127

86284

94578

178172

109056

17169

128

87377

96785

180114

109976

17240

129

87279

95799

179869

109766

17177

130

87082

94349

179541

109641

17183

131

85601

94660

176442

107716

16876

132

86812

96185

178969

109280

17124

133

88216

95140

181765

110890

17342

134

88239

97932

181988

111204

17456

135

87971

94998

181289

110627

17310

136

87395

94120

180109

109894

17181

137

87449

96097

180187

109939

17202

138

87978

94881

181270

110593

17302

139

87979

97149

181304

110652

17328

140

87456

96819

180198

109948

17207

141

87450

93590

180382

110223

17292

142

87447

94226

180159

109891

17180

143

87432

96692

180221

110020

17232

144

87768

97824

181040

110657

17386

145

87743

96874

181161

110880

17463

146

87661

95204

180656

110245

17251

147

86418

92827

178130

108742

17031

148

87834

94286

181240

110835

17430

149

87252

95084

179921

109951

17283

150

88526

97997

182480

111418

17465

151

87083

97570

180380

110965

17670

152

87129

97210

179732

109865

17263

153

86998

94393

179204

109276

17071

154

88008

94905

181657

111141

17493

155

87150

96103

179561

109539

17129

156

88789

98146

182949

111631

17472

157

86950

95130

180054

110705

17598

158

87203

94911

179993

110091

17302

159

88157

94968

181855

111142

17445

160

86804

93210

179248

109714

17271

161

86566

95040

178698

109328

17197

162

86803

93523

179099

109487

17192

163

88096

97854

182014

111518

17601

164

87369

94604

180371

110368

17367

165

87393

96407

180491

110511

17414

166

87166

93788

180155

110409

17421

167

87817

96863

181331

110984

17471

168

88300

95453

182399

111713

17615

169

86875

93535

179498

109957

17335

170

88310

98376

182517

111878

17672

171

87790

96075

181176

110788

17403

172

87590

93880

180916

110779

17454

173

88538

96040

182879

112000

17660

174

88614

97967

183042

112103

17676

175

87328

96133

180317

110353

17365

176

87417

93192

180941

111093

17570

177

89637

98086

185387

113650

17901

178

87449

95913

180882

110912

17480

179

87389

94547

180891

111057

17556

180

87078

96250

180238

110637

17478

181

87215

93703

180615

110974

17575

182

87148

94086

180378

110727

17498

183

87341

93883

180841

111071

17572

184

87126

96269

180328

110685

17484

185

87339

94068

180781

110986

17545

186

87466

94723

181294

111546

17719

187

87104

95294

180110

110381

17376

188

87018

94252

179692

109983

17310

189

87816

96620

181311

110951

17457

190

87346

94318

180412

110478

17413

191

87386

98200

181136

111482

17734

192

87582

95899

180308

109938

17213

193

86631

93473

178833

109433

17232

194

87794

94573

181039

110600

17356

195

87552

95178

180796

110704

17461

196

87184

95737

179484

109445

17146

197

87794

94304

181261

110930

17464

198

87358

93467

180354

110362

17367

199

87895

97519

181063

110521

17354

200

87767

95902

180510

109913

17171

201

87775

93971

181243

110946

17479

202

87545

94665

180545

110310

17311

203

87758

96432

180570

110027

17216

204

88096

95344

181797

111187

17487

205

86934

95652

178949

109103

17089

206

87043

95293

179205

109272

17111

207

87758

94313

181385

111197

17571

208

87465

93673

180643

110591

17414

209

88195

96713

182198

111623

17621

210

88219

94828

182109

111416

17527

211

86843

95514

179441

109972

17375

212

88422

95449

182595

111780

17608

213

86966

94917

179647

110037

17357

214

87134

95570

179991

110262

17406

215

86962

93092

179612

109983

17334

216

87588

96384

180952

110870

17507

217

87234

93800

180192

110347

17390

218

87687

94531

181056

110820

17452

219

87599

96777

180995

110917

17522

220

88188

98169

182716

112444

17915

221

87760

94771

181188

110890

17463

222

87359

93359

180264

110219

17315

223

87491

96531

180787

110801

17506

224

86133

90483

179657

111753

18230

225

89067

97769

184195

112956

17829

226

86998

95359

179947

110379

17431

227

87562

93457

181016

110932

17479

228

87420

93409

180898

111039

17562

229

86919

95463

179871

110412

17461

230

87440

93220

180895

110981

17527

231

86920

95370

179731

110194

17384

232

87326

93847

180689

110884

17522

233

87726

95815

181513

111396

17610

234

87729

96378

181574

111495

17651

235

87407

94166

180739

110814

17483

236

87188

93761

180310

110562

17441

237

87645

95312

181435

111450

17661

238

87947

93068

183017

113400

18331

239

87007

94939

180220

110822

17611

240

86863

95843

179746

110336

17454

241

87370

93239

180690

110801

17482

242

88740

95475

183492

112497

17746

243

86807

94727

179569

110150

17389

244

85912

91858

177795

109143

17261

245

89405

97733

184914

113413

17905

246

89312

97150

184820

113449

17942

247

87064

93203

180061

110433

17437

248

86447

92485

178586

109369

17231

249

87434

96585

180682

110748

17501

250

86795

95554

179349

109918

17365

251

87583

93857

180824

110648

17408

252

88090

94177

181768

111129

17452

253

85871

94262

177366

108623

17129

254

87497

93943

180643

110543

17398

255

88983

97865

183873

112690

17801

4.1.3. Fields

5. Numerical Solver

solver

Linear

6. Toolbox Heat

6.1. Environment

prefix

thermo-electric.heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/fb46b4da/HL_31/

number of processus

256

6.2. Physics

6.2.1. heat

all

modeling

heat

type

heat

name

all

materials

Conductor_H1

Conductor_H10

Conductor_H11

Conductor_H12

Conductor_H13

Conductor_H14

Conductor_H2

Conductor_H3

Conductor_H4

Conductor_H5

Conductor_H6

Conductor_H7

Conductor_H8

Conductor_H9

Insulator_H1

Insulator_H10

Insulator_H11

Insulator_H12

Insulator_H13

Insulator_H14

Insulator_H2

Insulator_H3

Insulator_H4

Insulator_H5

Insulator_H6

Insulator_H7

Insulator_H8

Insulator_H9

R1

R10

R11

R12

R13

R2

R3

R4

R5

R6

R7

R8

R9

iL1

oL2

Equation

- div( k grad T ) = 0

6.3. Physics2

time mode

Stationary

6.4. Boundary Conditions

6.4.1. Heat Flux

insulation

expr

0

markers

Inner1_LV0

OuterL2_LV0

6.4.2. Convective Heat Flux

Channel0

expr_h

hw_Channel0

expr_Text

Tw_Channel0+(0.5)*dTw_Channel0

markers

Channel0

Channel1

expr_h

hw_Channel1

expr_Text

(0.5)*dTw_Channel1+Tw_Channel1

markers

Channel1

Channel10

expr_h

hw_Channel10

expr_Text

(0.5)*dTw_Channel10+Tw_Channel10

markers

Channel10

Channel11

expr_h

hw_Channel11

expr_Text

Tw_Channel11+(0.5)*dTw_Channel11

markers

Channel11

Channel12

expr_h

hw_Channel12

expr_Text

(0.5)*dTw_Channel12+Tw_Channel12

markers

Channel12

Channel13

expr_h

hw_Channel13

expr_Text

Tw_Channel13+(0.5)*dTw_Channel13

markers

Channel13

Channel14

expr_h

hw_Channel14

expr_Text

(0.5)*dTw_Channel14+Tw_Channel14

markers

Channel14

Channel2

expr_h

hw_Channel2

expr_Text

Tw_Channel2+(0.5)*dTw_Channel2

markers

Channel2

Channel3

expr_h

hw_Channel3

expr_Text

(0.5)*dTw_Channel3+Tw_Channel3

markers

Channel3

Channel4

expr_h

hw_Channel4

expr_Text

Tw_Channel4+(0.5)*dTw_Channel4

markers

Channel4

Channel5

expr_h

hw_Channel5

expr_Text

(0.5)*dTw_Channel5+Tw_Channel5

markers

Channel5

Channel6

expr_h

hw_Channel6

expr_Text

Tw_Channel6+(0.5)*dTw_Channel6

markers

Channel6

Channel7

expr_h

hw_Channel7

expr_Text

Tw_Channel7+(0.5)*dTw_Channel7

markers

Channel7

Channel8

expr_h

hw_Channel8

expr_Text

(0.5)*dTw_Channel8+Tw_Channel8

markers

Channel8

Channel9

expr_h

hw_Channel9

expr_Text

Tw_Channel9+(0.5)*dTw_Channel9

markers

Channel9

6.5. Meshes

6.5.1. Mesh : heat

Discretization

/Mesh/thermoelectric

filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

generate-partitioning

0

Discretization

dim

3

h_average

2.862525e-03

h_max

2.075160e-02

h_min

6.503055e-04

n_edges

27913534

n_elements

22401676

n_faces

46008143

n_partition

256

n_points

4306880

order

1

real_dim

3

shape

Simplex_3_1_3

partition id n_elements n_elements_with_ghost n_faces n_edges n_points

0

87082

94056

179427

109469

17125

1

86972

93785

179384

109618

17207

2

88128

95810

181921

111313

17521

3

87207

96505

179636

109545

17117

4

87043

96718

179256

109272

17060

5

87074

93770

179575

109726

17226

6

89192

97184

183679

111976

17490

7

86676

95059

180894

112497

18277

8

87312

94748

180908

111260

17665

9

87838

95242

182633

112919

18125

10

87884

95929

182161

112107

17831

11

87889

94691

182320

112327

17897

12

87885

94235

182252

112243

17877

13

87808

94087

182038

112048

17819

14

87743

94471

181958

112067

17853

15

86866

93490

180112

110880

17635

16

87200

96590

179591

109496

17106

17

87555

96334

180238

109809

17127

18

87442

95788

179930

109548

17061

19

87160

97137

179590

109563

17134

20

87596

96634

180323

109859

17133

21

87755

94950

181133

110831

17454

22

87755

94967

181049

110680

17387

23

86376

96989

178135

108823

17065

24

88033

96403

181461

110784

17357

25

87878

94746

181524

111184

17539

26

87782

97710

180849

110318

17252

27

87212

96004

179490

109307

17030

28

87710

96763

180571

110018

17158

29

86679

95886

178517

108826

16989

30

87782

95028

181206

110875

17452

31

87948

96918

181113

110409

17245

32

87356

94301

181361

111905

17900

33

87472

93891

181873

112475

18072

34

87798

95779

182020

112060

17839

35

87162

94807

180630

111143

17676

36

86908

95026

180157

110896

17648

37

87169

93139

181250

112099

18017

38

87880

95966

182159

112114

17836

39

87952

93991

182554

112595

17993

40

87105

95304

180134

110431

17403

41

87168

94871

180595

111033

17607

42

87431

98022

182170

113011

18272

43

87471

94657

181847

112393

18015

44

87689

93936

181741

111842

17791

45

87927

94846

182314

112281

17895

46

87467

93749

181432

111803

17839

47

87596

94773

181668

111903

17832

48

88139

96990

182046

111479

17573

49

87707

95085

181187

110986

17507

50

87261

93764

181137

111758

17883

51

86906

95693

179481

109878

17304

52

88164

97124

182160

111598

17603

53

87436

94379

181023

111246

17660

54

87439

95567

180553

110504

17391

55

88167

97628

182162

111603

17609

56

87087

95157

179889

110167

17366

57

87070

96588

179938

110275

17408

58

88774

97865

183387

112329

17717

59

87082

93252

180051

110426

17458

60

87560

96173

180829

110706

17438

61

87330

94574

180688

110942

17585

62

88075

97610

182069

111640

17647

63

87679

96495

181034

110793

17439

64

87160

94305

179722

109782

17221

65

87157

95289

179684

109728

17202

66

87741

95380

180875

110457

17324

67

88025

95656

181390

110720

17356

68

87289

94355

182078

113148

18357

69

87670

94227

182831

113575

18412

70

87052

95579

179468

109620

17205

71

87792

95256

180790

110231

17234

72

87303

94939

180795

111126

17635

73

85907

93400

177863

109276

17321

74

87647

95233

181437

111453

17664

75

87265

95357

180766

111151

17651

76

87391

94893

180882

111090

17600

77

87783

94075

181917

111929

17796

78

88083

96131

182440

112168

17812

79

87854

95825

181968

111880

17767

80

87697

96360

180523

110008

17183

81

87682

96812

180578

110126

17231

82

88137

97492

181547

110752

17343

83

87642

95953

180354

109838

17127

84

87210

95775

179491

109342

17062

85

87920

96780

181026

110359

17254

86

88052

96431

181244

110432

17241

87

87718

96872

180643

110149

17225

88

87184

95958

179501

109398

17082

89

87508

96589

180192

109863

17180

90

87467

95686

180105

109799

17162

91

88622

95587

183536

112888

17974

92

87508

94879

180530

110386

17365

93

87510

95779

180076

109669

17104

94

87552

94329

180728

110608

17433

95

87644

96126

180401

109928

17172

96

88775

91726

186865

117530

19440

97

86832

87788

188528

123771

22075

98

86919

92822

182228

114012

18703

99

87898

93822

182681

112869

18087

100

87301

94461

180753

111059

17608

101

87296

94639

180761

111091

17627

102

87537

95542

181261

111412

17689

103

87335

94619

180772

111036

17600

104

87822

94357

181787

111665

17701

105

87772

93709

182103

112237

17907

106

85178

91981

177611

110330

17893

107

86809

92791

179916

110697

17591

108

87581

95147

181271

111343

17654

109

87396

95069

180936

111183

17644

110

87616

95547

181499

111612

17730

111

87906

95863

182000

111839

17746

112

87302

95400

180224

110267

17346

113

87579

95560

180769

110584

17395

114

87971

96128

181619

111139

17492

115

87262

96251

180287

110430

17406

116

87903

96426

184551

115759

19105

117

87078

93563

180232

110704

17551

118

87913

94568

181684

111331

17561

119

87571

94482

180990

110929

17511

120

86235

92431

178149

109109

17196

121

87795

95475

182285

112517

18027

122

87610

95406

182219

112776

18166

123

87747

94888

181391

111207

17564

124

87606

95855

180858

110662

17411

125

87745

96019

181154

110862

17454

126

87390

95455

180437

110435

17389

127

86284

94578

178172

109056

17169

128

87377

96785

180114

109976

17240

129

87279

95799

179869

109766

17177

130

87082

94349

179541

109641

17183

131

85601

94660

176442

107716

16876

132

86812

96185

178969

109280

17124

133

88216

95140

181765

110890

17342

134

88239

97932

181988

111204

17456

135

87971

94998

181289

110627

17310

136

87395

94120

180109

109894

17181

137

87449

96097

180187

109939

17202

138

87978

94881

181270

110593

17302

139

87979

97149

181304

110652

17328

140

87456

96819

180198

109948

17207

141

87450

93590

180382

110223

17292

142

87447

94226

180159

109891

17180

143

87432

96692

180221

110020

17232

144

87768

97824

181040

110657

17386

145

87743

96874

181161

110880

17463

146

87661

95204

180656

110245

17251

147

86418

92827

178130

108742

17031

148

87834

94286

181240

110835

17430

149

87252

95084

179921

109951

17283

150

88526

97997

182480

111418

17465

151

87083

97570

180380

110965

17670

152

87129

97210

179732

109865

17263

153

86998

94393

179204

109276

17071

154

88008

94905

181657

111141

17493

155

87150

96103

179561

109539

17129

156

88789

98146

182949

111631

17472

157

86950

95130

180054

110705

17598

158

87203

94911

179993

110091

17302

159

88157

94968

181855

111142

17445

160

86804

93210

179248

109714

17271

161

86566

95040

178698

109328

17197

162

86803

93523

179099

109487

17192

163

88096

97854

182014

111518

17601

164

87369

94604

180371

110368

17367

165

87393

96407

180491

110511

17414

166

87166

93788

180155

110409

17421

167

87817

96863

181331

110984

17471

168

88300

95453

182399

111713

17615

169

86875

93535

179498

109957

17335

170

88310

98376

182517

111878

17672

171

87790

96075

181176

110788

17403

172

87590

93880

180916

110779

17454

173

88538

96040

182879

112000

17660

174

88614

97967

183042

112103

17676

175

87328

96133

180317

110353

17365

176

87417

93192

180941

111093

17570

177

89637

98086

185387

113650

17901

178

87449

95913

180882

110912

17480

179

87389

94547

180891

111057

17556

180

87078

96250

180238

110637

17478

181

87215

93703

180615

110974

17575

182

87148

94086

180378

110727

17498

183

87341

93883

180841

111071

17572

184

87126

96269

180328

110685

17484

185

87339

94068

180781

110986

17545

186

87466

94723

181294

111546

17719

187

87104

95294

180110

110381

17376

188

87018

94252

179692

109983

17310

189

87816

96620

181311

110951

17457

190

87346

94318

180412

110478

17413

191

87386

98200

181136

111482

17734

192

87582

95899

180308

109938

17213

193

86631

93473

178833

109433

17232

194

87794

94573

181039

110600

17356

195

87552

95178

180796

110704

17461

196

87184

95737

179484

109445

17146

197

87794

94304

181261

110930

17464

198

87358

93467

180354

110362

17367

199

87895

97519

181063

110521

17354

200

87767

95902

180510

109913

17171

201

87775

93971

181243

110946

17479

202

87545

94665

180545

110310

17311

203

87758

96432

180570

110027

17216

204

88096

95344

181797

111187

17487

205

86934

95652

178949

109103

17089

206

87043

95293

179205

109272

17111

207

87758

94313

181385

111197

17571

208

87465

93673

180643

110591

17414

209

88195

96713

182198

111623

17621

210

88219

94828

182109

111416

17527

211

86843

95514

179441

109972

17375

212

88422

95449

182595

111780

17608

213

86966

94917

179647

110037

17357

214

87134

95570

179991

110262

17406

215

86962

93092

179612

109983

17334

216

87588

96384

180952

110870

17507

217

87234

93800

180192

110347

17390

218

87687

94531

181056

110820

17452

219

87599

96777

180995

110917

17522

220

88188

98169

182716

112444

17915

221

87760

94771

181188

110890

17463

222

87359

93359

180264

110219

17315

223

87491

96531

180787

110801

17506

224

86133

90483

179657

111753

18230

225

89067

97769

184195

112956

17829

226

86998

95359

179947

110379

17431

227

87562

93457

181016

110932

17479

228

87420

93409

180898

111039

17562

229

86919

95463

179871

110412

17461

230

87440

93220

180895

110981

17527

231

86920

95370

179731

110194

17384

232

87326

93847

180689

110884

17522

233

87726

95815

181513

111396

17610

234

87729

96378

181574

111495

17651

235

87407

94166

180739

110814

17483

236

87188

93761

180310

110562

17441

237

87645

95312

181435

111450

17661

238

87947

93068

183017

113400

18331

239

87007

94939

180220

110822

17611

240

86863

95843

179746

110336

17454

241

87370

93239

180690

110801

17482

242

88740

95475

183492

112497

17746

243

86807

94727

179569

110150

17389

244

85912

91858

177795

109143

17261

245

89405

97733

184914

113413

17905

246

89312

97150

184820

113449

17942

247

87064

93203

180061

110433

17437

248

86447

92485

178586

109369

17231

249

87434

96585

180682

110748

17501

250

86795

95554

179349

109918

17365

251

87583

93857

180824

110648

17408

252

88090

94177

181768

111129

17452

253

85871

94262

177366

108623

17129

254

87497

93943

180643

110543

17398

255

88983

97865

183873

112690

17801

Fields

6.6. Function Spaces

6.6.1. Temperature

mesh

/Mesh/thermoelectric

nSpace

1

Basis

is_continuous

1

nComponents

1

nComponents1

1

nComponents2

1

nLocalDof

10

name

lagrange

order

2

shape

scalar

Dof Table

extended-doftable

0

nDof

32220414

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

126594

126594

0

1

126825

125308

1517

2

128834

127099

1735

3

126662

124518

2144

4

126332

125687

645

5

126952

123736

3216

6

129466

126505

2961

7

130774

128242

2532

8

128925

127977

948

9

131044

128720

2324

10

129938

127736

2202

11

130224

126555

3669

12

130120

128977

1143

13

129867

127306

2561

14

129920

127255

2665

15

128515

124258

4257

16

126602

126040

562

17

126936

122615

4321

18

126609

125708

901

19

126697

121325

5372

20

126992

125292

1700

21

128285

126224

2061

22

128067

126292

1775

23

125888

120768

5120

24

128141

125831

2310

25

128723

126776

1947

26

127570

124399

3171

27

126337

121684

4653

28

127176

124075

3101

29

125815

120861

4954

30

128327

125810

2517

31

127654

121761

5893

32

129805

129553

252

33

130547

128568

1979

34

129899

128784

1115

35

128819

126216

2603

36

128544

127302

1242

37

130116

127010

3106

38

129950

127518

2432

39

130588

126539

4049

40

127834

127834

0

41

128640

126603

2037

42

131283

129579

1704

43

130408

127944

2464

44

129633

128652

981

45

130176

126213

3963

46

129642

126826

2816

47

129735

124998

4737

48

129052

129052

0

49

128493

125881

2612

50

129641

128339

1302

51

127182

124059

3123

52

129201

126885

2316

53

128906

126321

2585

54

127895

124433

3462

55

129212

125453

3759

56

127533

127533

0

57

127683

123581

4102

58

130046

127059

2987

59

127884

125399

2485

60

128144

125084

3060

61

128527

125365

3162

62

129287

126900

2387

63

128232

122423

5809

64

127003

127003

0

65

126930

125010

1920

66

127781

127781

0

67

128076

124196

3880

68

131505

131108

397

69

131987

130008

1979

70

126825

124763

2062

71

127465

123405

4060

72

128761

127499

1262

73

126597

123768

2829

74

129117

126202

2915

75

128802

125434

3368

76

128690

127658

1032

77

129725

127942

1783

78

129980

126901

3079

79

129647

125680

3967

80

127191

127191

0

81

127357

125793

1564

82

128095

124584

3511

83

126965

123017

3948

84

126404

125266

1138

85

127613

122716

4897

86

127673

124524

3149

87

127374

122420

4954

88

126480

124865

1615

89

127043

123581

3462

90

126961

124833

2128

91

130862

127777

3085

92

127751

125985

1766

93

126773

122400

4373

94

128041

125723

2318

95

127100

121481

5619

96

136970

136970

0

97

145846

145149

697

98

132715

131204

1511

99

130956

129111

1845

100

128667

126905

1762

101

128718

125798

2920

102

129101

127128

1973

103

128636

125429

3207

104

129366

126711

2655

105

130144

126447

3697

106

128223

123696

4527

107

128288

128288

0

108

128997

127669

1328

109

128827

125016

3811

110

129342

126148

3194

111

129585

124660

4925

112

127613

127613

0

113

127979

126503

1476

114

128631

127856

775

115

127836

124373

3463

116

134864

132038

2826

117

128255

125173

3082

118

128892

126031

2861

119

128440

123795

4645

120

126305

126305

0

121

130544

128450

2094

122

130942

128816

2126

123

128771

125358

3413

124

128073

125567

2506

125

128316

124266

4050

126

127824

123629

4195

127

126225

120741

5484

128

127216

127216

0

129

126943

125300

1643

130

126824

125002

1822

131

124592

121971

2621

132

126404

124586

1818

133

128232

126418

1814

134

128660

125222

3438

135

127937

125017

2920

136

127075

125491

1584

137

127141

124425

2716

138

127895

126036

1859

139

127980

125599

2381

140

127155

123952

3203

141

127515

124912

2603

142

127071

126164

907

143

127252

121966

5286

144

128043

127552

491

145

128343

124059

4284

146

127496

124425

3071

147

125773

123025

2748

148

128265

128208

57

149

127234

125509

1725

150

128883

125342

3541

151

128635

124667

3968

152

127128

124984

2144

153

126347

124332

2015

154

128634

126077

2557

155

126668

120855

5813

156

129103

124818

4285

157

128303

123881

4422

158

127393

127126

267

159

128587

126409

2178

160

126985

126876

109

161

126525

124870

1655

162

126679

123878

2801

163

129119

125403

3716

164

127735

127735

0

165

127925

125274

2651

166

127830

126344

1486

167

128455

123513

4942

168

129328

129328

0

169

127292

124190

3102

170

129550

126132

3418

171

128191

125707

2484

172

128233

127288

945

173

129660

125800

3860

174

129779

125373

4406

175

127718

121859

5859

176

128663

128436

227

177

131551

129986

1565

178

128392

125577

2815

179

128613

125390

3223

180

128115

125669

2446

181

128549

125288

3261

182

128225

125850

2375

183

128643

125211

3432

184

128169

125018

3151

185

128531

125486

3045

186

129265

127352

1913

187

127757

123307

4450

188

127293

125173

2120

189

128408

123769

4639

190

127891

124495

3396

191

129216

122093

7123

192

127151

127151

0

193

126665

124785

1880

194

127956

127956

0

195

128165

124166

3999

196

126591

124342

2249

197

128394

125740

2654

198

127729

126625

1104

199

127875

122332

5543

200

127084

125373

1711

201

128425

125604

2821

202

127621

124363

3258

203

127243

123861

3382

204

128674

127904

770

205

126192

122371

3821

206

126383

122490

3893

207

128768

124559

4209

208

128005

128005

0

209

129244

127577

1667

210

128943

127735

1208

211

127347

124592

2755

212

129388

128545

843

213

127394

123989

3405

214

127668

125071

2597

215

127317

124540

2777

216

128377

128377

0

217

127737

126086

1651

218

128272

125646

2626

219

128439

124013

4426

220

130359

126856

3503

221

128353

123754

4599

222

127534

126460

1074

223

128307

122960

5347

224

129983

129983

0

225

130785

129246

1539

226

127810

126678

1132

227

128411

125697

2714

228

128601

128531

70

229

127873

124514

3359

230

128508

127766

742

231

127578

122725

4853

232

128406

126730

1676

233

129006

126299

2707

234

129146

128534

612

235

128297

124844

3453

236

128003

125471

2532

237

129111

125741

3370

238

131731

131243

488

239

128433

124018

4415

240

127790

126791

999

241

128283

125796

2487

242

130243

126978

3265

243

127539

123888

3651

244

126404

124851

1553

245

131318

126923

4395

246

131391

127911

3480

247

127870

123874

3996

248

126600

125343

1257

249

128249

125157

3092

250

127283

124998

2285

251

128056

123922

4134

252

128581

127440

1141

253

125752

121271

4481

254

127941

125442

2499

255

130491

124568

5923

6.7. Fields

6.7.1. temperature

base symbol

T

function space

/FunctionSpace/object-0

name

temperature

prefix symbol

heat

Name Expression Symbol Shape Components

eval of temperature

idv(.)

heat_T

scalar

norm2 of temperature

norm2(.)

heat_T_magnitude

scalar

grad of temperature

gradv(.)

heat_grad_T

vectorial [3]

Symbol Indices

heat_grad_T_0

0,0

heat_grad_T_1

0,1

heat_grad_T_2

0,2

normal derivative of temperature

dnv(.)

heat_dn_T

scalar

6.8. Algebraic Solver

6.8.1. Backend

prefix

thermo-electric.heat

type

petsc

6.8.2. KSP

atol

1.000000e-50

dtol

1.000000e+05

maxit

1000

reuse-prec

0

rtol

1.000000e-08

type

gmres

6.8.3. SNES

atol

1.000000e-50

maxit

50

reuse-jac

0

rtol

1.000000e-08

stol

1.000000e-08

6.8.4. KSP in SNES

maxit

1000

reuse-prec

0

rtol

1.000000e-05

6.8.5. PC

type

gamg

7. Toolbox Electric

7.1. Environment

prefix

thermo-electric.electric

keyword

electric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/fb46b4da/HL_31/

number of processus

256

7.2. Physics

7.2.1. electric

conductors

modeling

electric

type

electric

name

conductors

materials

Conductor_H1

Conductor_H10

Conductor_H11

Conductor_H12

Conductor_H13

Conductor_H14

Conductor_H2

Conductor_H3

Conductor_H4

Conductor_H5

Conductor_H6

Conductor_H7

Conductor_H8

Conductor_H9

R1

R10

R11

R12

R13

R2

R3

R4

R5

R6

R7

R8

R9

iL1

oL2

7.3. Physics2

time mode

Stationary

7.4. Boundary Conditions

7.4.1. Electric Potential Imposed

V1

method

elimination

expr

U_

markers

Inner1_LV0

7.4.2. Ground

markers

OuterL2_LV0

7.5. Meshes

7.5.1. Mesh : electric

Discretization

/Mesh/thermoelectric

filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p256.json

generate-partitioning

0

Discretization

dim

3

h_average

2.862525e-03

h_max

2.075160e-02

h_min

6.503055e-04

n_edges

27913534

n_elements

22401676

n_faces

46008143

n_partition

256

n_points

4306880

order

1

real_dim

3

shape

Simplex_3_1_3

partition id n_elements n_elements_with_ghost n_faces n_edges n_points

0

87082

94056

179427

109469

17125

1

86972

93785

179384

109618

17207

2

88128

95810

181921

111313

17521

3

87207

96505

179636

109545

17117

4

87043

96718

179256

109272

17060

5

87074

93770

179575

109726

17226

6

89192

97184

183679

111976

17490

7

86676

95059

180894

112497

18277

8

87312

94748

180908

111260

17665

9

87838

95242

182633

112919

18125

10

87884

95929

182161

112107

17831

11

87889

94691

182320

112327

17897

12

87885

94235

182252

112243

17877

13

87808

94087

182038

112048

17819

14

87743

94471

181958

112067

17853

15

86866

93490

180112

110880

17635

16

87200

96590

179591

109496

17106

17

87555

96334

180238

109809

17127

18

87442

95788

179930

109548

17061

19

87160

97137

179590

109563

17134

20

87596

96634

180323

109859

17133

21

87755

94950

181133

110831

17454

22

87755

94967

181049

110680

17387

23

86376

96989

178135

108823

17065

24

88033

96403

181461

110784

17357

25

87878

94746

181524

111184

17539

26

87782

97710

180849

110318

17252

27

87212

96004

179490

109307

17030

28

87710

96763

180571

110018

17158

29

86679

95886

178517

108826

16989

30

87782

95028

181206

110875

17452

31

87948

96918

181113

110409

17245

32

87356

94301

181361

111905

17900

33

87472

93891

181873

112475

18072

34

87798

95779

182020

112060

17839

35

87162

94807

180630

111143

17676

36

86908

95026

180157

110896

17648

37

87169

93139

181250

112099

18017

38

87880

95966

182159

112114

17836

39

87952

93991

182554

112595

17993

40

87105

95304

180134

110431

17403

41

87168

94871

180595

111033

17607

42

87431

98022

182170

113011

18272

43

87471

94657

181847

112393

18015

44

87689

93936

181741

111842

17791

45

87927

94846

182314

112281

17895

46

87467

93749

181432

111803

17839

47

87596

94773

181668

111903

17832

48

88139

96990

182046

111479

17573

49

87707

95085

181187

110986

17507

50

87261

93764

181137

111758

17883

51

86906

95693

179481

109878

17304

52

88164

97124

182160

111598

17603

53

87436

94379

181023

111246

17660

54

87439

95567

180553

110504

17391

55

88167

97628

182162

111603

17609

56

87087

95157

179889

110167

17366

57

87070

96588

179938

110275

17408

58

88774

97865

183387

112329

17717

59

87082

93252

180051

110426

17458

60

87560

96173

180829

110706

17438

61

87330

94574

180688

110942

17585

62

88075

97610

182069

111640

17647

63

87679

96495

181034

110793

17439

64

87160

94305

179722

109782

17221

65

87157

95289

179684

109728

17202

66

87741

95380

180875

110457

17324

67

88025

95656

181390

110720

17356

68

87289

94355

182078

113148

18357

69

87670

94227

182831

113575

18412

70

87052

95579

179468

109620

17205

71

87792

95256

180790

110231

17234

72

87303

94939

180795

111126

17635

73

85907

93400

177863

109276

17321

74

87647

95233

181437

111453

17664

75

87265

95357

180766

111151

17651

76

87391

94893

180882

111090

17600

77

87783

94075

181917

111929

17796

78

88083

96131

182440

112168

17812

79

87854

95825

181968

111880

17767

80

87697

96360

180523

110008

17183

81

87682

96812

180578

110126

17231

82

88137

97492

181547

110752

17343

83

87642

95953

180354

109838

17127

84

87210

95775

179491

109342

17062

85

87920

96780

181026

110359

17254

86

88052

96431

181244

110432

17241

87

87718

96872

180643

110149

17225

88

87184

95958

179501

109398

17082

89

87508

96589

180192

109863

17180

90

87467

95686

180105

109799

17162

91

88622

95587

183536

112888

17974

92

87508

94879

180530

110386

17365

93

87510

95779

180076

109669

17104

94

87552

94329

180728

110608

17433

95

87644

96126

180401

109928

17172

96

88775

91726

186865

117530

19440

97

86832

87788

188528

123771

22075

98

86919

92822

182228

114012

18703

99

87898

93822

182681

112869

18087

100

87301

94461

180753

111059

17608

101

87296

94639

180761

111091

17627

102

87537

95542

181261

111412

17689

103

87335

94619

180772

111036

17600

104

87822

94357

181787

111665

17701

105

87772

93709

182103

112237

17907

106

85178

91981

177611

110330

17893

107

86809

92791

179916

110697

17591

108

87581

95147

181271

111343

17654

109

87396

95069

180936

111183

17644

110

87616

95547

181499

111612

17730

111

87906

95863

182000

111839

17746

112

87302

95400

180224

110267

17346

113

87579

95560

180769

110584

17395

114

87971

96128

181619

111139

17492

115

87262

96251

180287

110430

17406

116

87903

96426

184551

115759

19105

117

87078

93563

180232

110704

17551

118

87913

94568

181684

111331

17561

119

87571

94482

180990

110929

17511

120

86235

92431

178149

109109

17196

121

87795

95475

182285

112517

18027

122

87610

95406

182219

112776

18166

123

87747

94888

181391

111207

17564

124

87606

95855

180858

110662

17411

125

87745

96019

181154

110862

17454

126

87390

95455

180437

110435

17389

127

86284

94578

178172

109056

17169

128

87377

96785

180114

109976

17240

129

87279

95799

179869

109766

17177

130

87082

94349

179541

109641

17183

131

85601

94660

176442

107716

16876

132

86812

96185

178969

109280

17124

133

88216

95140

181765

110890

17342

134

88239

97932

181988

111204

17456

135

87971

94998

181289

110627

17310

136

87395

94120

180109

109894

17181

137

87449

96097

180187

109939

17202

138

87978

94881

181270

110593

17302

139

87979

97149

181304

110652

17328

140

87456

96819

180198

109948

17207

141

87450

93590

180382

110223

17292

142

87447

94226

180159

109891

17180

143

87432

96692

180221

110020

17232

144

87768

97824

181040

110657

17386

145

87743

96874

181161

110880

17463

146

87661

95204

180656

110245

17251

147

86418

92827

178130

108742

17031

148

87834

94286

181240

110835

17430

149

87252

95084

179921

109951

17283

150

88526

97997

182480

111418

17465

151

87083

97570

180380

110965

17670

152

87129

97210

179732

109865

17263

153

86998

94393

179204

109276

17071

154

88008

94905

181657

111141

17493

155

87150

96103

179561

109539

17129

156

88789

98146

182949

111631

17472

157

86950

95130

180054

110705

17598

158

87203

94911

179993

110091

17302

159

88157

94968

181855

111142

17445

160

86804

93210

179248

109714

17271

161

86566

95040

178698

109328

17197

162

86803

93523

179099

109487

17192

163

88096

97854

182014

111518

17601

164

87369

94604

180371

110368

17367

165

87393

96407

180491

110511

17414

166

87166

93788

180155

110409

17421

167

87817

96863

181331

110984

17471

168

88300

95453

182399

111713

17615

169

86875

93535

179498

109957

17335

170

88310

98376

182517

111878

17672

171

87790

96075

181176

110788

17403

172

87590

93880

180916

110779

17454

173

88538

96040

182879

112000

17660

174

88614

97967

183042

112103

17676

175

87328

96133

180317

110353

17365

176

87417

93192

180941

111093

17570

177

89637

98086

185387

113650

17901

178

87449

95913

180882

110912

17480

179

87389

94547

180891

111057

17556

180

87078

96250

180238

110637

17478

181

87215

93703

180615

110974

17575

182

87148

94086

180378

110727

17498

183

87341

93883

180841

111071

17572

184

87126

96269

180328

110685

17484

185

87339

94068

180781

110986

17545

186

87466

94723

181294

111546

17719

187

87104

95294

180110

110381

17376

188

87018

94252

179692

109983

17310

189

87816

96620

181311

110951

17457

190

87346

94318

180412

110478

17413

191

87386

98200

181136

111482

17734

192

87582

95899

180308

109938

17213

193

86631

93473

178833

109433

17232

194

87794

94573

181039

110600

17356

195

87552

95178

180796

110704

17461

196

87184

95737

179484

109445

17146

197

87794

94304

181261

110930

17464

198

87358

93467

180354

110362

17367

199

87895

97519

181063

110521

17354

200

87767

95902

180510

109913

17171

201

87775

93971

181243

110946

17479

202

87545

94665

180545

110310

17311

203

87758

96432

180570

110027

17216

204

88096

95344

181797

111187

17487

205

86934

95652

178949

109103

17089

206

87043

95293

179205

109272

17111

207

87758

94313

181385

111197

17571

208

87465

93673

180643

110591

17414

209

88195

96713

182198

111623

17621

210

88219

94828

182109

111416

17527

211

86843

95514

179441

109972

17375

212

88422

95449

182595

111780

17608

213

86966

94917

179647

110037

17357

214

87134

95570

179991

110262

17406

215

86962

93092

179612

109983

17334

216

87588

96384

180952

110870

17507

217

87234

93800

180192

110347

17390

218

87687

94531

181056

110820

17452

219

87599

96777

180995

110917

17522

220

88188

98169

182716

112444

17915

221

87760

94771

181188

110890

17463

222

87359

93359

180264

110219

17315

223

87491

96531

180787

110801

17506

224

86133

90483

179657

111753

18230

225

89067

97769

184195

112956

17829

226

86998

95359

179947

110379

17431

227

87562

93457

181016

110932

17479

228

87420

93409

180898

111039

17562

229

86919

95463

179871

110412

17461

230

87440

93220

180895

110981

17527

231

86920

95370

179731

110194

17384

232

87326

93847

180689

110884

17522

233

87726

95815

181513

111396

17610

234

87729

96378

181574

111495

17651

235

87407

94166

180739

110814

17483

236

87188

93761

180310

110562

17441

237

87645

95312

181435

111450

17661

238

87947

93068

183017

113400

18331

239

87007

94939

180220

110822

17611

240

86863

95843

179746

110336

17454

241

87370

93239

180690

110801

17482

242

88740

95475

183492

112497

17746

243

86807

94727

179569

110150

17389

244

85912

91858

177795

109143

17261

245

89405

97733

184914

113413

17905

246

89312

97150

184820

113449

17942

247

87064

93203

180061

110433

17437

248

86447

92485

178586

109369

17231

249

87434

96585

180682

110748

17501

250

86795

95554

179349

109918

17365

251

87583

93857

180824

110648

17408

252

88090

94177

181768

111129

17452

253

85871

94262

177366

108623

17129

254

87497

93943

180643

110543

17398

255

88983

97865

183873

112690

17801

Fields

7.6. Function Spaces

7.6.1. Electric Potential

mesh

/Mesh/thermoelectric

nSpace

1

Basis

is_continuous

1

nComponents

1

nComponents1

1

nComponents2

1

nLocalDof

10

name

lagrange

order

2

shape

scalar

Dof Table

extended-doftable

0

nDof

29456526

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

117693

117693

0

1

118832

117406

1426

2

120412

118807

1605

3

116790

115030

1760

4

116375

115812

563

5

118605

116001

2604

6

119657

116944

2713

7

120159

117768

2391

8

113798

113128

670

9

117948

115906

2042

10

114205

112801

1404

11

115932

112754

3178

12

116779

115850

929

13

115711

113771

1940

14

116161

114213

1948

15

114262

110885

3377

16

116880

116382

498

17

116736

113193

3543

18

116613

115712

901

19

116987

112227

4760

20

116902

115640

1262

21

119705

117944

1761

22

119776

118126

1650

23

115790

111423

4367

24

118919

116814

2105

25

120631

118902

1729

26

117301

114818

2483

27

116350

112704

3646

28

117354

114991

2363

29

115804

111279

4525

30

119749

117601

2148

31

118182

112917

5265

32

116412

116160

252

33

118137

116352

1785

34

114568

113769

799

35

113496

111973

1523

36

112602

111533

1069

37

118432

116385

2047

38

114747

112664

2083

39

117972

114828

3144

40

112643

112643

0

41

116166

114735

1431

42

119759

118221

1538

43

120032

118424

1608

44

116320

115651

669

45

116487

113480

3007

46

116369

114817

1552

47

116047

112646

3401

48

119739

119739

0

49

119639

117528

2111

50

122080

120842

1238

51

118218

115319

2899

52

120278

118144

2134

53

120879

118457

2422

54

119298

116163

3135

55

119563

116193

3370

56

118821

118821

0

57

118986

115735

3251

58

121156

118847

2309

59

119776

117686

2090

60

119128

116395

2733

61

120540

117849

2691

62

120249

118038

2211

63

118784

114701

4083

64

121188

121188

0

65

120691

118853

1838

66

121566

121566

0

67

121738

118071

3667

68

124572

124175

397

69

125188

123291

1897

70

120220

118245

1975

71

120934

117103

3831

72

119162

117947

1215

73

116575

113970

2605

74

119000

116443

2557

75

118385

115340

3045

76

118527

117544

983

77

121782

120311

1471

78

119259

116621

2638

79

119050

115482

3568

80

120308

120308

0

81

120474

119005

1469

82

121195

117934

3261

83

120369

116516

3853

84

119651

118581

1070

85

120708

116010

4698

86

120811

117798

3013

87

120494

115792

4702

88

119971

118481

1490

89

120178

116917

3261

90

120212

118149

2063

91

125049

122121

2928

92

121378

119718

1660

93

119818

115726

4092

94

121778

119546

2232

95

120234

114971

5263

96

136970

136970

0

97

145846

145149

697

98

132183

130672

1511

99

127710

125877

1833

100

122397

120670

1727

101

122172

119338

2834

102

122577

120712

1865

103

121929

118865

3064

104

120464

118014

2450

105

121577

118350

3227

106

121525

117825

3700

107

123310

123310

0

108

122175

120847

1328

109

122079

118416

3663

110

122895

119905

2990

111

123172

118426

4746

112

120974

120974

0

113

121263

119888

1375

114

122022

121291

731

115

121388

118138

3250

116

131552

128775

2777

117

122999

120006

2993

118

122986

120263

2723

119

122348

117918

4430

120

120146

120146

0

121

124719

122709

2010

122

125204

123139

2065

123

122737

119476

3261

124

121643

119169

2474

125

121809

117922

3887

126

121174

117192

3982

127

119462

114475

4987

128

110902

110902

0

129

113470

112897

573

130

114576

112933

1643

131

109088

107278

1810

132

111143

110358

785

133

116207

115244

963

134

112863

110848

2015

135

115635

113725

1910

136

115477

114098

1379

137

111700

109625

2075

138

115520

113908

1612

139

112372

110704

1668

140

111502

109251

2251

141

116605

114857

1748

142

114700

113847

853

143

111384

108311

3073

144

112189

111753

436

145

114944

111463

3481

146

114848

112628

2220

147

113887

111526

2361

148

114235

114178

57

149

111928

110434

1494

150

113545

110946

2599

151

114341

111052

3289

152

111347

110413

934

153

113638

112255

1383

154

116944

114902

2042

155

112190

108438

3752

156

113967

110808

3159

157

117269

113618

3651

158

114211

113944

267

159

115901

113944

1957

160

115316

115207

109

161

111466

110649

817

162

113863

111363

2500

163

113599

111178

2421

164

115056

115056

0

165

112302

110674

1628

166

116570

115245

1325

167

113320

110098

3222

168

116800

116800

0

169

115664

112899

2765

170

112917

111195

1722

171

113204

111540

1664

172

116656

115794

862

173

117080

113651

3429

174

114506

111182

3324

175

112611

108308

4303

176

116866

116639

227

177

115849

115190

659

178

112442

110512

1930

179

115834

113701

2133

180

112977

111024

1953

181

116345

113809

2536

182

115651

113612

2039

183

116323

113275

3048

184

112770

110215

2555

185

115902

113456

2446

186

117712

115983

1729

187

113050

109806

3244

188

114615

112776

1839

189

113101

110123

2978

190

115541

112860

2681

191

115136

109731

5405

192

109994

109994

0

193

113132

111820

1312

194

113419

113419

0

195

113722

110234

3488

196

109222

107641

1581

197

114173

112284

1889

198

113715

112711

1004

199

109837

106688

3149

200

109477

108122

1355

201

114907

112767

2140

202

112985

110199

2786

203

109373

107237

2136

204

113994

113419

575

205

108687

106283

2404

206

109359

106381

2978

207

115936

112768

3168

208

115628

115628

0

209

112757

111866

891

210

115726

114688

1038

211

111161

109456

1705

212

115695

115207

488

213

112952

110243

2709

214

111842

110068

1774

215

115121

113076

2045

216

111778

111778

0

217

115039

114372

667

218

114742

112420

2322

219

112103

108689

3414

220

116975

114285

2690

221

114159

110573

3586

222

114808

113814

994

223

111673

109041

2632

224

124979

124979

0

225

115682

114679

1003

226

111945

110969

976

227

117871

116177

1694

228

117593

117523

70

229

112135

110213

1922

230

117277

116585

692

231

112461

109323

3138

232

116794

115314

1480

233

112728

111069

1659

234

113082

112549

533

235

115977

113498

2479

236

116712

114791

1921

237

116322

113798

2524

238

124973

124511

462

239

115368

112035

3333

240

113071

112250

821

241

118260

116530

1730

242

118745

115854

2891

243

112105

109343

2762

244

115197

113831

1366

245

115284

112234

3050

246

118029

115357

2672

247

115986

113078

2908

248

114305

113150

1155

249

111665

109723

1942

250

111353

109445

1908

251

114856

111994

2862

252

115609

114585

1024

253

109602

107173

2429

254

114898

112691

2207

255

114164

110735

3429

7.7. Fields

7.7.1. electric-potential

base symbol

P

function space

/FunctionSpace/object-1

name

electric-potential

prefix symbol

electric

Name Expression Symbol Shape Components

eval of electric-potential

idv(.)

electric_P

scalar

norm2 of electric-potential

norm2(.)

electric_P_magnitude

scalar

grad of electric-potential

gradv(.)

electric_grad_P

vectorial [3]

Symbol Indices

electric_grad_P_0

0,0

electric_grad_P_1

0,1

electric_grad_P_2

0,2

normal derivative of electric-potential

dnv(.)

electric_dn_P

scalar

7.8. Algebraic Solver

7.8.1. Backend

prefix

thermo-electric.electric

type

petsc

7.8.2. KSP

atol

1.000000e-50

dtol

1.000000e+05

maxit

1000

reuse-prec

0

rtol

1.000000e-08

type

gmres

7.8.3. SNES

atol

1.000000e-50

maxit

50

reuse-jac

0

rtol

1.000000e-08

stol

1.000000e-08

7.8.4. KSP in SNES

maxit

1000

reuse-prec

0

rtol

1.000000e-05

7.8.5. PC

type

gamg