Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/1c58710c/HL_31/

number of processus

128

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_p128.json

4.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p128.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

128

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

174539

185879

360843

221189

34886

1

174538

187104

360980

221405

34964

2

175695

184563

363460

223006

35240

3

174453

182859

361554

222444

35344

4

175332

186029

360580

219364

34117

5

175793

186047

361695

220206

34305

6

175750

185281

361717

220312

34346

7

174564

187039

361295

221876

35147

8

174755

187025

358954

217974

33776

9

173885

186690

357275

217050

33661

10

175392

187561

360259

218774

33908

11

174961

187127

359417

218285

33830

12

174941

185745

359904

219080

34118

13

174952

185931

359565

218549

33937

14

174870

185127

359879

219192

34184

15

176222

185836

362498

220630

34355

16

174648

183883

360987

221240

34902

17

175030

184677

361900

221938

35068

18

174984

186473

360492

219848

34341

19

175020

186774

360655

220030

34396

20

174984

187754

360716

220205

34474

21

174980

186613

360538

219910

34353

22

174459

185855

362095

223297

35660

23

174939

183960

361870

222017

35085

24

174815

176901

373450

239782

41144

25

175355

181807

365243

226278

36390

26

174867

184758

361356

221346

34857

27

174975

185722

361595

221528

34908

28

175566

184540

363229

222914

35252

29

174541

188708

363041

224657

36155

30

175962

186176

363455

222493

35001

31

175033

186025

361733

221630

34931

32

174608

185121

359130

218476

33955

33

175114

185794

359969

218804

33950

34

174803

187189

359033

217948

33719

35

174958

187485

359351

218147

33755

36

175792

186435

361886

220455

34362

37

174609

187394

358682

217777

33705

38

175287

185423

360660

219552

34180

39

175603

188114

360714

219001

33891

40

175609

185832

361145

219663

34128

41

174207

183683

358235

217862

33835

42

174182

186296

360266

221032

34948

43

174962

185178

360001

219144

34106

44

174762

183749

361645

221944

35062

45

174718

185811

361948

222527

35298

46

174659

183175

361605

222088

35143

47

176712

185188

365636

224371

35448

48

175521

187595

363240

223004

35286

49

174645

182895

361725

222336

35256

50

174919

184270

362415

222889

35391

51

174802

184516

362248

222857

35410

52

175502

185481

363423

223335

35415

53

175496

183697

363087

222809

35219

54

174221

185281

360312

220896

34804

55

175148

187760

362769

222981

35361

56

174621

184392

360135

219988

34475

57

174601

184978

360220

220159

34541

58

174792

184633

360801

220680

34672

59

175370

186018

362316

221916

34968

60

175165

186359

361403

220898

34661

61

175164

186147

361383

220890

34672

62

174602

185773

359681

219318

34240

63

175339

187572

361286

220398

34452

64

175131

187064

361482

220896

34546

65

174323

183874

360271

220615

34668

66

173389

181733

358224

219245

34411

67

175378

184805

362228

221619

34770

68

175960

186729

363348

222197

34810

69

176067

187032

363721

222583

34930

70

175433

184388

361405

220385

34414

71

175425

190003

362490

222041

34978

72

176573

186079

364056

222284

34802

73

172143

184347

354605

216214

33753

74

174763

184094

360103

219664

34325

75

174244

186615

359038

219009

34216

76

175358

185546

361240

220279

34398

77

175339

188180

361287

220378

34431

78

175821

185172

362462

221262

34622

79

175831

188926

362325

221052

34559

80

175511

188245

360895

219492

34109

81

174816

184650

359757

219037

34097

82

174773

183810

360156

219719

34337

83

172041

183826

354111

215671

33603

84

177796

189023

365817

222681

34661

85

173845

185892

357386

217266

33726

86

174790

184797

359352

218467

33906

87

175315

187713

360657

219499

34158

88

174668

184235

359238

218524

33955

89

174820

184328

359593

218780

34008

90

174624

187954

360204

220119

34538

91

174830

183206

360043

219463

34251

92

175500

188061

360859

219450

34092

93

175472

184911

360862

219480

34091

94

173817

186855

357504

217501

33815

95

175659

185990

361281

219761

34140

96

174821

186667

360405

220055

34472

97

174287

186206

360433

221042

34893

98

175245

186907

361233

220534

34547

99

175233

184537

361220

220477

34491

100

175135

186386

361656

221258

34738

101

175044

183411

362282

222466

35231

102

175485

187460

362601

222067

34952

103

175233

184123

361759

221214

34689

104

174798

183254

360164

219666

34301

105

174808

184200

360251

219828

34386

106

174895

185816

360482

220036

34450

107

175285

185476

361226

220420

34480

108

174823

185336

360410

220055

34469

109

174655

184509

359941

219637

34352

110

174759

183411

359917

219402

34245

111

175156

185057

361030

220377

34504

112

174886

183770

361034

220769

34622

113

175048

185527

361390

220991

34650

114

175025

184077

361779

221710

34957

115

175089

183095

362181

222241

35151

116

175350

184878

362344

221956

34963

117

174922

184583

361100

220775

34598

118

175148

183564

361548

221054

34655

119

175123

189021

362070

222032

35087

120

175041

184605

360259

219452

34235

121

175054

185395

360028

219096

34123

122

175083

185613

360172

219254

34166

123

175492

184602

360913

219606

34186

124

174833

186638

358987

217987

33834

125

175074

184072

360835

220237

34477

126

175046

188663

359854

218932

34125

127

175052

184296

360539

219827

34341

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_31/1c58710c/HL_31/

number of processus

128

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

(0.5)*dTw_Channel0+Tw_Channel0

markers

Channel0

Channel1

expr_h

hw_Channel1

expr_Text

Tw_Channel1+(0.5)*dTw_Channel1

markers

Channel1

Channel10

expr_h

hw_Channel10

expr_Text

Tw_Channel10+(0.5)*dTw_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

Tw_Channel12+(0.5)*dTw_Channel12

markers

Channel12

Channel13

expr_h

hw_Channel13

expr_Text

(0.5)*dTw_Channel13+Tw_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

Tw_Channel3+(0.5)*dTw_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

(0.5)*dTw_Channel6+Tw_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

Tw_Channel8+(0.5)*dTw_Channel8

markers

Channel8

Channel9

expr_h

hw_Channel9

expr_Text

(0.5)*dTw_Channel9+Tw_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_p128.json

Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p128.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

128

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

174539

185879

360843

221189

34886

1

174538

187104

360980

221405

34964

2

175695

184563

363460

223006

35240

3

174453

182859

361554

222444

35344

4

175332

186029

360580

219364

34117

5

175793

186047

361695

220206

34305

6

175750

185281

361717

220312

34346

7

174564

187039

361295

221876

35147

8

174755

187025

358954

217974

33776

9

173885

186690

357275

217050

33661

10

175392

187561

360259

218774

33908

11

174961

187127

359417

218285

33830

12

174941

185745

359904

219080

34118

13

174952

185931

359565

218549

33937

14

174870

185127

359879

219192

34184

15

176222

185836

362498

220630

34355

16

174648

183883

360987

221240

34902

17

175030

184677

361900

221938

35068

18

174984

186473

360492

219848

34341

19

175020

186774

360655

220030

34396

20

174984

187754

360716

220205

34474

21

174980

186613

360538

219910

34353

22

174459

185855

362095

223297

35660

23

174939

183960

361870

222017

35085

24

174815

176901

373450

239782

41144

25

175355

181807

365243

226278

36390

26

174867

184758

361356

221346

34857

27

174975

185722

361595

221528

34908

28

175566

184540

363229

222914

35252

29

174541

188708

363041

224657

36155

30

175962

186176

363455

222493

35001

31

175033

186025

361733

221630

34931

32

174608

185121

359130

218476

33955

33

175114

185794

359969

218804

33950

34

174803

187189

359033

217948

33719

35

174958

187485

359351

218147

33755

36

175792

186435

361886

220455

34362

37

174609

187394

358682

217777

33705

38

175287

185423

360660

219552

34180

39

175603

188114

360714

219001

33891

40

175609

185832

361145

219663

34128

41

174207

183683

358235

217862

33835

42

174182

186296

360266

221032

34948

43

174962

185178

360001

219144

34106

44

174762

183749

361645

221944

35062

45

174718

185811

361948

222527

35298

46

174659

183175

361605

222088

35143

47

176712

185188

365636

224371

35448

48

175521

187595

363240

223004

35286

49

174645

182895

361725

222336

35256

50

174919

184270

362415

222889

35391

51

174802

184516

362248

222857

35410

52

175502

185481

363423

223335

35415

53

175496

183697

363087

222809

35219

54

174221

185281

360312

220896

34804

55

175148

187760

362769

222981

35361

56

174621

184392

360135

219988

34475

57

174601

184978

360220

220159

34541

58

174792

184633

360801

220680

34672

59

175370

186018

362316

221916

34968

60

175165

186359

361403

220898

34661

61

175164

186147

361383

220890

34672

62

174602

185773

359681

219318

34240

63

175339

187572

361286

220398

34452

64

175131

187064

361482

220896

34546

65

174323

183874

360271

220615

34668

66

173389

181733

358224

219245

34411

67

175378

184805

362228

221619

34770

68

175960

186729

363348

222197

34810

69

176067

187032

363721

222583

34930

70

175433

184388

361405

220385

34414

71

175425

190003

362490

222041

34978

72

176573

186079

364056

222284

34802

73

172143

184347

354605

216214

33753

74

174763

184094

360103

219664

34325

75

174244

186615

359038

219009

34216

76

175358

185546

361240

220279

34398

77

175339

188180

361287

220378

34431

78

175821

185172

362462

221262

34622

79

175831

188926

362325

221052

34559

80

175511

188245

360895

219492

34109

81

174816

184650

359757

219037

34097

82

174773

183810

360156

219719

34337

83

172041

183826

354111

215671

33603

84

177796

189023

365817

222681

34661

85

173845

185892

357386

217266

33726

86

174790

184797

359352

218467

33906

87

175315

187713

360657

219499

34158

88

174668

184235

359238

218524

33955

89

174820

184328

359593

218780

34008

90

174624

187954

360204

220119

34538

91

174830

183206

360043

219463

34251

92

175500

188061

360859

219450

34092

93

175472

184911

360862

219480

34091

94

173817

186855

357504

217501

33815

95

175659

185990

361281

219761

34140

96

174821

186667

360405

220055

34472

97

174287

186206

360433

221042

34893

98

175245

186907

361233

220534

34547

99

175233

184537

361220

220477

34491

100

175135

186386

361656

221258

34738

101

175044

183411

362282

222466

35231

102

175485

187460

362601

222067

34952

103

175233

184123

361759

221214

34689

104

174798

183254

360164

219666

34301

105

174808

184200

360251

219828

34386

106

174895

185816

360482

220036

34450

107

175285

185476

361226

220420

34480

108

174823

185336

360410

220055

34469

109

174655

184509

359941

219637

34352

110

174759

183411

359917

219402

34245

111

175156

185057

361030

220377

34504

112

174886

183770

361034

220769

34622

113

175048

185527

361390

220991

34650

114

175025

184077

361779

221710

34957

115

175089

183095

362181

222241

35151

116

175350

184878

362344

221956

34963

117

174922

184583

361100

220775

34598

118

175148

183564

361548

221054

34655

119

175123

189021

362070

222032

35087

120

175041

184605

360259

219452

34235

121

175054

185395

360028

219096

34123

122

175083

185613

360172

219254

34166

123

175492

184602

360913

219606

34186

124

174833

186638

358987

217987

33834

125

175074

184072

360835

220237

34477

126

175046

188663

359854

218932

34125

127

175052

184296

360539

219827

34341

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

256075

256075

0

1

256369

253741

2628

2

258246

255555

2691

3

257788

252588

5200

4

253481

253255

226

5

254511

251845

2666

6

254658

251372

3286

7

257023

251706

5317

8

251750

250105

1645

9

250711

246534

4177

10

252682

248587

4095

11

252115

245633

6482

12

253198

251480

1718

13

252486

247642

4844

14

253376

249062

4314

15

254985

248846

6139

16

256142

255848

294

17

257006

253371

3635

18

254189

251884

2305

19

254426

249033

5393

20

254679

252000

2679

21

254263

248754

5509

22

258957

256322

2635

23

257102

251358

5744

24

280926

280926

0

25

262668

261134

1534

26

256203

253159

3044

27

256436

252693

3743

28

258166

253114

5052

29

260812

258043

2769

30

257494

254274

3220

31

256561

249079

7482

32

252431

252431

0

33

252754

250287

2467

34

251667

250000

1667

35

251902

247652

4250

36

254817

252563

2254

37

251482

247036

4446

38

253732

249724

4008

39

252892

246399

6493

40

253791

251174

2617

41

251697

247226

4471

42

255980

252825

3155

43

253250

246610

6640

44

257006

255537

1469

45

257825

253374

4451

46

257231

254652

2579

47

259819

254714

5105

48

258290

258290

0

49

257592

254925

2667

50

258280

255252

3028

51

258267

253081

5186

52

258750

255235

3515

53

258028

253467

4561

54

255700

254445

1255

55

258342

255158

3184

56

254463

254372

91

57

254700

252299

2401

58

255352

252916

2436

59

256884

251487

5397

60

255559

253047

2512

61

255562

250344

5218

62

253558

247877

5681

63

254850

246731

8119

64

255442

253471

1971

65

255283

252499

2784

66

253656

252015

1641

67

256389

250745

5644

68

257007

252672

4335

69

257513

252129

5384

70

254799

254695

104

71

257019

250487

6532

72

257086

257086

0

73

249967

245800

4167

74

253989

252014

1975

75

253225

247653

5572

76

254677

251254

3423

77

254809

250209

4600

78

255884

252600

3284

79

255611

248368

7243

80

253601

253601

0

81

253134

250232

2902

82

254056

248717

5339

83

249274

246343

2931

84

257342

255169

2173

85

250992

247964

3028

86

252373

250584

1789

87

253657

245477

8180

88

252479

249940

2539

89

252788

250964

1824

90

254657

250455

4202

91

253714

252212

1502

92

253542

249114

4428

93

253571

249493

4078

94

251316

245448

5868

95

253901

247145

6756

96

254527

254527

0

97

255935

254075

1860

98

255081

252145

2936

99

254968

252174

2794

100

255996

254473

1523

101

257697

255149

2548

102

257019

254196

2823

103

255903

251054

4849

104

253967

251528

2439

105

254214

250759

3455

106

254486

252322

2164

107

254900

249918

4982

108

254524

251802

2722

109

253989

249181

4808

110

253647

249868

3779

111

254881

248425

6456

112

255391

253197

2194

113

255641

253243

2398

114

256667

252562

4105

115

257392

253648

3744

116

256919

254472

2447

117

255373

250356

5017

118

255709

251739

3970

119

257119

251424

5695

120

253687

253547

140

121

253219

250750

2469

122

253420

249286

4134

123

253792

248896

4896

124

251821

247492

4329

125

254714

250455

4259

126

253057

247033

6024

127

254168

248015

6153

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_31/1c58710c/HL_31/

number of processus

128

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_p128.json

Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p128.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

128

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

174539

185879

360843

221189

34886

1

174538

187104

360980

221405

34964

2

175695

184563

363460

223006

35240

3

174453

182859

361554

222444

35344

4

175332

186029

360580

219364

34117

5

175793

186047

361695

220206

34305

6

175750

185281

361717

220312

34346

7

174564

187039

361295

221876

35147

8

174755

187025

358954

217974

33776

9

173885

186690

357275

217050

33661

10

175392

187561

360259

218774

33908

11

174961

187127

359417

218285

33830

12

174941

185745

359904

219080

34118

13

174952

185931

359565

218549

33937

14

174870

185127

359879

219192

34184

15

176222

185836

362498

220630

34355

16

174648

183883

360987

221240

34902

17

175030

184677

361900

221938

35068

18

174984

186473

360492

219848

34341

19

175020

186774

360655

220030

34396

20

174984

187754

360716

220205

34474

21

174980

186613

360538

219910

34353

22

174459

185855

362095

223297

35660

23

174939

183960

361870

222017

35085

24

174815

176901

373450

239782

41144

25

175355

181807

365243

226278

36390

26

174867

184758

361356

221346

34857

27

174975

185722

361595

221528

34908

28

175566

184540

363229

222914

35252

29

174541

188708

363041

224657

36155

30

175962

186176

363455

222493

35001

31

175033

186025

361733

221630

34931

32

174608

185121

359130

218476

33955

33

175114

185794

359969

218804

33950

34

174803

187189

359033

217948

33719

35

174958

187485

359351

218147

33755

36

175792

186435

361886

220455

34362

37

174609

187394

358682

217777

33705

38

175287

185423

360660

219552

34180

39

175603

188114

360714

219001

33891

40

175609

185832

361145

219663

34128

41

174207

183683

358235

217862

33835

42

174182

186296

360266

221032

34948

43

174962

185178

360001

219144

34106

44

174762

183749

361645

221944

35062

45

174718

185811

361948

222527

35298

46

174659

183175

361605

222088

35143

47

176712

185188

365636

224371

35448

48

175521

187595

363240

223004

35286

49

174645

182895

361725

222336

35256

50

174919

184270

362415

222889

35391

51

174802

184516

362248

222857

35410

52

175502

185481

363423

223335

35415

53

175496

183697

363087

222809

35219

54

174221

185281

360312

220896

34804

55

175148

187760

362769

222981

35361

56

174621

184392

360135

219988

34475

57

174601

184978

360220

220159

34541

58

174792

184633

360801

220680

34672

59

175370

186018

362316

221916

34968

60

175165

186359

361403

220898

34661

61

175164

186147

361383

220890

34672

62

174602

185773

359681

219318

34240

63

175339

187572

361286

220398

34452

64

175131

187064

361482

220896

34546

65

174323

183874

360271

220615

34668

66

173389

181733

358224

219245

34411

67

175378

184805

362228

221619

34770

68

175960

186729

363348

222197

34810

69

176067

187032

363721

222583

34930

70

175433

184388

361405

220385

34414

71

175425

190003

362490

222041

34978

72

176573

186079

364056

222284

34802

73

172143

184347

354605

216214

33753

74

174763

184094

360103

219664

34325

75

174244

186615

359038

219009

34216

76

175358

185546

361240

220279

34398

77

175339

188180

361287

220378

34431

78

175821

185172

362462

221262

34622

79

175831

188926

362325

221052

34559

80

175511

188245

360895

219492

34109

81

174816

184650

359757

219037

34097

82

174773

183810

360156

219719

34337

83

172041

183826

354111

215671

33603

84

177796

189023

365817

222681

34661

85

173845

185892

357386

217266

33726

86

174790

184797

359352

218467

33906

87

175315

187713

360657

219499

34158

88

174668

184235

359238

218524

33955

89

174820

184328

359593

218780

34008

90

174624

187954

360204

220119

34538

91

174830

183206

360043

219463

34251

92

175500

188061

360859

219450

34092

93

175472

184911

360862

219480

34091

94

173817

186855

357504

217501

33815

95

175659

185990

361281

219761

34140

96

174821

186667

360405

220055

34472

97

174287

186206

360433

221042

34893

98

175245

186907

361233

220534

34547

99

175233

184537

361220

220477

34491

100

175135

186386

361656

221258

34738

101

175044

183411

362282

222466

35231

102

175485

187460

362601

222067

34952

103

175233

184123

361759

221214

34689

104

174798

183254

360164

219666

34301

105

174808

184200

360251

219828

34386

106

174895

185816

360482

220036

34450

107

175285

185476

361226

220420

34480

108

174823

185336

360410

220055

34469

109

174655

184509

359941

219637

34352

110

174759

183411

359917

219402

34245

111

175156

185057

361030

220377

34504

112

174886

183770

361034

220769

34622

113

175048

185527

361390

220991

34650

114

175025

184077

361779

221710

34957

115

175089

183095

362181

222241

35151

116

175350

184878

362344

221956

34963

117

174922

184583

361100

220775

34598

118

175148

183564

361548

221054

34655

119

175123

189021

362070

222032

35087

120

175041

184605

360259

219452

34235

121

175054

185395

360028

219096

34123

122

175083

185613

360172

219254

34166

123

175492

184602

360913

219606

34186

124

174833

186638

358987

217987

33834

125

175074

184072

360835

220237

34477

126

175046

188663

359854

218932

34125

127

175052

184296

360539

219827

34341

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

235211

235211

0

1

235846

233461

2385

2

240407

238197

2210

3

241257

236343

4914

4

240963

240737

226

5

241866

239334

2532

6

242662

239540

3122

7

239030

234526

4504

8

238184

236539

1645

9

237273

233381

3892

10

238961

235092

3869

11

238584

232489

6095

12

240638

238936

1702

13

239050

234479

4571

14

240592

236429

4163

15

242095

236242

5853

16

244529

244235

294

17

244934

241442

3492

18

241064

238974

2090

19

240938

235882

5056

20

241450

238995

2455

21

240725

235596

5129

22

249809

247224

2585

23

246589

241012

5577

24

280926

280926

0

25

258902

257368

1534

26

243560

240546

3014

27

243308

239815

3493

28

240890

236619

4271

29

248998

246264

2734

30

244376

241217

3159

31

243159

236011

7148

32

234896

234896

0

33

234666

232389

2277

34

231863

230409

1454

35

232316

228560

3756

36

237182

235101

2081

37

232066

228259

3807

38

236425

232705

3720

39

232469

227368

5101

40

235646

233634

2012

41

234589

230510

4079

42

236296

233436

2860

43

235684

229556

6128

44

228813

227583

1230

45

228928

225126

3802

46

230126

228296

1830

47

231921

227884

4037

48

227744

227744

0

49

231698

230123

1575

50

232167

229513

2654

51

231769

227132

4637

52

231418

229645

1773

53

230917

227980

2937

54

230137

228993

1144

55

235856

232968

2888

56

237885

237794

91

57

238113

235867

2246

58

238545

236276

2269

59

240833

235771

5062

60

238570

236400

2170

61

238879

234026

4853

62

235564

231060

4504

63

237152

230485

6667

64

225641

224305

1336

65

230304

228238

2066

66

228653

227198

1455

67

229838

225313

4525

68

229290

226146

3144

69

230199

226023

4176

70

229927

229823

104

71

230833

225444

5389

72

232682

232682

0

73

220745

218174

2571

74

229047

227302

1745

75

222452

219446

3006

76

228190

225487

2703

77

225036

221918

3118

78

231638

228785

2853

79

225262

220174

5088

80

221860

221860

0

81

229241

227865

1376

82

229543

225629

3914

83

223314

221765

1549

84

231623

229747

1876

85

220874

218955

1919

86

226151

225078

1073

87

225836

219030

6806

88

227153

224959

2194

89

227819

226191

1628

90

229207

225507

3700

91

225152

223809

1343

92

223122

219809

3313

93

228748

226150

2598

94

220358

216454

3904

95

228630

223850

4780

96

224581

224581

0

97

231666

230427

1239

98

225173

222618

2555

99

227663

225266

2397

100

229275

228101

1174

101

237263

235082

2181

102

228943

226568

2375

103

231605

228331

3274

104

227550

226302

1248

105

226591

223944

2647

106

225201

223283

1918

107

226747

223341

3406

108

226035

223802

2233

109

225327

221135

4192

110

226006

223319

2687

111

227146

222084

5062

112

230192

228281

1911

113

227745

225682

2063

114

232024

229143

2881

115

237440

234756

2684

116

231973

229820

2153

117

229537

225111

4426

118

230972

228559

2413

119

230623

225807

4816

120

224301

224161

140

121

222357

220256

2101

122

221966

219303

2663

123

223202

219594

3608

124

217385

214428

2957

125

226779

223961

2818

126

219431

215034

4397

127

225583

220779

4804

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