Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/6016d433/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_31/6016d433/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

4

name

lagrange

order

1

shape

scalar

Dof Table

extended-doftable

0

nDof

4306880

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

17125

17125

0

1

17207

16796

411

2

17521

17052

469

3

17117

16543

574

4

17060

16884

176

5

17226

16362

864

6

17490

16693

797

7

18277

17578

699

8

17665

17404

261

9

18125

17482

643

10

17831

17229

602

11

17897

16889

1008

12

17877

17563

314

13

17819

17119

700

14

17853

17126

727

15

17635

16474

1161

16

17106

16952

154

17

17127

15971

1156

18

17061

16817

244

19

17134

15702

1432

20

17133

16676

457

21

17454

16899

555

22

17387

16908

479

23

17065

15696

1369

24

17357

16735

622

25

17539

17012

527

26

17252

16405

847

27

17030

15785

1245

28

17158

16329

829

29

16989

15669

1320

30

17452

16769

683

31

17245

15676

1569

32

17900

17823

77

33

18072

17521

551

34

17839

17535

304

35

17676

16965

711

36

17648

17308

340

37

18017

17154

863

38

17836

17171

665

39

17993

16880

1113

40

17403

17403

0

41

17607

17055

552

42

18272

17796

476

43

18015

17347

668

44

17791

17517

274

45

17895

16802

1093

46

17839

17066

773

47

17832

16544

1288

48

17573

17573

0

49

17507

16792

715

50

17883

17516

367

51

17304

16464

840

52

17603

16978

625

53

17660

16946

714

54

17391

16456

935

55

17609

16598

1011

56

17366

17366

0

57

17408

16300

1108

58

17717

16914

803

59

17458

16787

671

60

17438

16614

824

61

17585

16730

855

62

17647

17000

647

63

17439

15882

1557

64

17221

17221

0

65

17202

16684

518

66

17324

17324

0

67

17356

16311

1045

68

18357

18238

119

69

18412

17847

565

70

17205

16647

558

71

17234

16142

1092

72

17635

17286

349

73

17321

16553

768

74

17664

16873

791

75

17651

16735

916

76

17600

17316

284

77

17796

17306

490

78

17812

16973

839

79

17767

16689

1078

80

17183

17183

0

81

17231

16812

419

82

17343

16396

947

83

17127

16066

1061

84

17062

16756

306

85

17254

15944

1310

86

17241

16396

845

87

17225

15902

1323

88

17082

16646

436

89

17180

16254

926

90

17162

16589

573

91

17974

17143

831

92

17365

16890

475

93

17104

15931

1173

94

17433

16801

632

95

17172

15670

1502

96

19440

19440

0

97

22075

21869

206

98

18703

18275

428

99

18087

17568

519

100

17608

17124

484

101

17627

16825

802

102

17689

17148

541

103

17600

16727

873

104

17701

16976

725

105

17907

16892

1015

106

17893

16642

1251

107

17591

17591

0

108

17654

17287

367

109

17644

16606

1038

110

17730

16854

876

111

17746

16404

1342

112

17346

17346

0

113

17395

16996

399

114

17492

17280

212

115

17406

16472

934

116

19105

18320

785

117

17551

16708

843

118

17561

16781

780

119

17511

16254

1257

120

17196

17196

0

121

18027

17441

586

122

18166

17568

598

123

17564

16633

931

124

17411

16727

684

125

17454

16363

1091

126

17389

16256

1133

127

17169

15693

1476

128

17240

17240

0

129

17177

16734

443

130

17183

16693

490

131

16876

16174

702

132

17124

16634

490

133

17342

16854

488

134

17456

16535

921

135

17310

16526

784

136

17181

16754

427

137

17202

16474

728

138

17302

16802

500

139

17328

16689

639

140

17207

16350

857

141

17292

16591

701

142

17180

16931

249

143

17232

15818

1414

144

17386

17252

134

145

17463

16315

1148

146

17251

16427

824

147

17031

16288

743

148

17430

17409

21

149

17283

16814

469

150

17465

16518

947

151

17670

16590

1080

152

17263

16686

577

153

17071

16530

541

154

17493

16801

692

155

17129

15578

1551

156

17472

16327

1145

157

17598

16408

1190

158

17302

17223

79

159

17445

16851

594

160

17271

17234

37

161

17197

16749

448

162

17192

16427

765

163

17601

16600

1001

164

17367

17367

0

165

17414

16695

719

166

17421

17019

402

167

17471

16145

1326

168

17615

17615

0

169

17335

16495

840

170

17672

16751

921

171

17403

16732

671

172

17454

17194

260

173

17660

16616

1044

174

17676

16494

1182

175

17365

15797

1568

176

17570

17497

73

177

17901

17475

426

178

17480

16716

764

179

17556

16675

881

180

17478

16817

661

181

17575

16685

890

182

17498

16849

649

183

17572

16631

941

184

17484

16631

853

185

17545

16715

830

186

17719

17188

531

187

17376

16177

1199

188

17310

16734

576

189

17457

16210

1247

190

17413

16494

919

191

17734

15809

1925

192

17213

17213

0

193

17232

16724

508

194

17356

17356

0

195

17461

16381

1080

196

17146

16535

611

197

17464

16740

724

198

17367

17058

309

199

17354

15867

1487

200

17171

16712

459

201

17479

16707

772

202

17311

16428

883

203

17216

16309

907

204

17487

17276

211

205

17089

16062

1027

206

17111

16068

1043

207

17571

16436

1135

208

17414

17414

0

209

17621

17169

452

210

17527

17199

328

211

17375

16631

744

212

17608

17371

237

213

17357

16437

920

214

17406

16705

701

215

17334

16580

754

216

17507

17507

0

217

17390

16943

447

218

17452

16736

716

219

17522

16333

1189

220

17915

16966

949

221

17463

16217

1246

222

17315

17013

302

223

17506

16066

1440

224

18230

18230

0

225

17829

17411

418

226

17431

17123

308

227

17479

16741

738

228

17562

17537

25

229

17461

16549

912

230

17527

17315

212

231

17384

16071

1313

232

17522

17058

464

233

17610

16876

734

234

17651

17482

169

235

17483

16544

939

236

17441

16756

685

237

17661

16749

912

238

18331

18196

135

239

17611

16416

1195

240

17454

17182

272

241

17482

16809

673

242

17746

16859

887

243

17389

16402

987

244

17261

16836

425

245

17905

16717

1188

246

17942

17000

942

247

17437

16349

1088

248

17231

16882

349

249

17501

16666

835

250

17365

16744

621

251

17408

16283

1125

252

17452

17133

319

253

17129

15919

1210

254

17398

16715

683

255

17801

16213

1588

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_31/6016d433/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

4

name

lagrange

order

1

shape

scalar

Dof Table

extended-doftable

0

nDof

4302090

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

17090

17090

0

1

17183

16772

411

2

17449

16989

460

3

17042

16551

491

4

16937

16775

162

5

17143

16405

738

6

17405

16622

783

7

18141

17455

686

8

17580

17377

203

9

18086

17469

617

10

17652

17217

435

11

17837

16865

972

12

17852

17587

265

13

17720

17130

590

14

17781

17192

589

15

17561

16532

1029

16

17032

16890

142

17

17003

16013

990

18

16987

16743

244

19

17074

15718

1356

20

17008

16657

351

21

17422

16937

485

22

17322

16848

474

23

16959

15740

1219

24

17284

16683

601

25

17481

16985

496

26

17101

16390

711

27

16901

15876

1025

28

17072

16395

677

29

16925

15632

1293

30

17396

16781

615

31

17197

15707

1490

32

17764

17687

77

33

17910

17375

535

34

17659

17423

236

35

17436

16974

462

36

17316

16987

329

37

17841

17230

611

38

17654

17016

638

39

17861

16927

934

40

17236

17236

0

41

17525

17090

435

42

18078

17613

465

43

17890

17423

467

44

17690

17493

197

45

17737

16832

905

46

17587

17117

470

47

17693

16670

1023

48

17437

17437

0

49

17428

16836

592

50

17855

17491

364

51

17249

16435

814

52

17559

16949

610

53

17634

16932

702

54

17344

16441

903

55

17405

16459

946

56

17331

17331

0

57

17324

16409

915

58

17609

16948

661

59

17404

16819

585

60

17369

16600

769

61

17533

16769

764

62

17509

16870

639

63

17217

16059

1158

64

17212

17212

0

65

17198

16681

517

66

17316

17316

0

67

17344

16309

1035

68

18335

18216

119

69

18357

17799

558

70

17173

16617

556

71

17214

16136

1078

72

17599

17252

347

73

17263

16517

746

74

17601

16863

738

75

17577

16698

879

76

17510

17235

275

77

17770

17341

429

78

17710

16956

754

79

17669

16644

1025

80

17169

17169

0

81

17210

16795

415

82

17310

16413

897

83

17120

16063

1057

84

17036

16732

304

85

17231

15942

1289

86

17226

16392

834

87

17205

15894

1311

88

17056

16649

407

89

17158

16251

907

90

17146

16578

568

91

17955

17144

811

92

17353

16888

465

93

17064

15934

1130

94

17412

16781

631

95

17139

15686

1453

96

19440

19440

0

97

22075

21869

206

98

18703

18275

428

99

18085

17566

519

100

17604

17122

482

101

17605

16805

800

102

17683

17164

519

103

17592

16730

862

104

17679

16977

702

105

17854

16916

938

106

17771

16706

1065

107

17585

17585

0

108

17621

17254

367

109

17637

16610

1027

110

17721

16887

834

111

17736

16407

1329

112

17330

17330

0

113

17386

16997

389

114

17449

17238

211

115

17400

16482

918

116

19093

18318

775

117

17547

16712

835

118

17540

16776

764

119

17496

16257

1239

120

17182

17182

0

121

18021

17439

582

122

18152

17556

596

123

17560

16633

927

124

17401

16718

683

125

17446

16369

1077

126

17377

16269

1108

127

17109

15729

1380

128

16829

16829

0

129

16973

16799

174

130

17044

16558

486

131

16578

16044

534

132

16842

16610

232

133

17163

16879

284

134

17134

16528

606

135

17119

16562

557

136

17058

16654

404

137

16979

16365

614

138

17126

16651

475

139

17047

16549

498

140

16905

16238

667

141

17159

16651

508

142

17022

16773

249

143

16883

15969

914

144

17046

16914

132

145

17310

16276

1034

146

17037

16391

646

147

16831

16135

696

148

17334

17313

21

149

17148

16695

453

150

17237

16474

763

151

17481

16491

990

152

16939

16664

275

153

16931

16518

413

154

17210

16612

598

155

16904

15786

1118

156

17274

16329

945

157

17436

16380

1056

158

17233

17154

79

159

17371

16792

579

160

17178

17141

37

161

16996

16750

246

162

17057

16313

744

163

17379

16645

734

164

17268

17268

0

165

17172

16689

483

166

17304

16915

389

167

17282

16336

946

168

17517

17517

0

169

17228

16410

818

170

17236

16722

514

171

17276

16786

490

172

17328

17075

253

173

17614

16602

1012

174

17553

16565

988

175

17211

15931

1280

176

17415

17342

73

177

17686

17486

200

178

17191

16610

581

179

17464

16826

638

180

17317

16747

570

181

17504

16756

748

182

17461

16850

611

183

17538

16620

918

184

17308

16559

749

185

17479

16758

721

186

17572

17058

514

187

17253

16292

961

188

17240

16691

549

189

17240

16361

879

190

17329

16531

798

191

17569

15953

1616

192

17014

17014

0

193

17170

16777

393

194

17317

17317

0

195

17393

16338

1055

196

16966

16498

468

197

17323

16755

568

198

17241

16934

307

199

17012

16069

943

200

16967

16557

410

201

17406

16763

643

202

17219

16382

837

203

16981

16335

646

204

17391

17219

172

205

16865

16140

725

206

16943

16036

907

207

17476

16530

946

208

17324

17324

0

209

17403

17147

256

210

17395

17086

309

211

17160

16647

513

212

17547

17397

150

213

17274

16469

805

214

17243

16704

539

215

17250

16641

609

216

17219

17219

0

217

17248

17048

200

218

17373

16675

698

219

17325

16296

1029

220

17828

17022

806

221

17361

16293

1068

222

17179

16877

302

223

17171

16370

801

224

18166

18166

0

225

17579

17295

284

226

17161

16863

298

227

17329

16831

498

228

17494

17469

25

229

17228

16667

561

230

17422

17211

211

231

17160

16231

929

232

17411

16966

445

233

17319

16812

507

234

17404

17239

165

235

17375

16641

734

236

17349

16781

568

237

17570

16827

743

238

18268

18133

135

239

17427

16449

978

240

17241

16995

246

241

17351

16849

502

242

17664

16811

853

243

17205

16370

835

244

17197

16791

406

245

17706

16788

918

246

17808

17011

797

247

17292

16425

867

248

17098

16751

347

249

17206

16622

584

250

17172

16584

588

251

17240

16381

859

252

17281

16972

309

253

16872

16136

736

254

17277

16613

664

255

17552

16521

1031

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