Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/2bee4b08/HL_31/

number of processus

64

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_p64.json

4.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p64.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

64

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

349429

361799

718854

437360

67936

1

349781

368500

719313

437466

67936

2

349862

366089

718413

435940

67390

3

349833

364594

718314

435834

67354

4

349517

362455

717546

435224

67196

5

350792

365297

720196

436893

67490

6

349868

364632

718419

435904

67354

7

349085

362049

716798

434890

67178

8

349656

362461

718039

435919

67537

9

350270

362873

719890

437524

67905

10

350260

364591

719852

437507

67916

11

350263

362644

719971

437659

67952

12

350285

364194

720363

438075

67998

13

350273

363600

720040

437778

68013

14

350166

364390

720397

438346

68116

15

349759

362999

719476

437702

67986

16

351050

364055

723623

441321

68749

17

351011

363579

723367

440965

68610

18

349311

361679

720222

439395

68485

19

351145

363185

723978

441669

68837

20

350021

363293

720874

439362

68503

21

349433

366855

723532

444575

70475

22

349460

362799

722011

442063

69513

23

349508

361737

722508

442773

69774

24

349901

362813

720130

438508

68280

25

349901

362819

720022

438317

68197

26

348400

360321

716897

436356

67860

27

351520

364918

723338

440326

68509

28

352088

364517

724478

440988

68599

29

347955

367040

719226

440836

69563

30

350714

361916

724974

444138

69878

31

350720

362430

725100

444356

69976

32

350620

362163

724882

444385

70115

33

349383

364430

718652

437159

67890

34

349707

364891

719344

437624

67987

35

349711

358535

722100

441734

69339

36

349426

359761

720339

439577

68664

37

350215

356580

722378

441125

68962

38

350798

358010

728665

449530

71663

39

350109

362791

731279

455149

73977

40

349917

363219

718358

435806

67366

41

349921

362840

718589

436130

67463

42

349942

368310

717937

435137

67143

43

350049

367088

717839

434776

66987

44

350342

364514

722955

441850

69237

45

350330

363550

725209

445383

70497

46

349922

359486

723551

443533

69899

47

349940

369300

719738

437899

68103

48

350137

363121

720767

438988

68359

49

350202

364332

720689

438727

68241

50

349338

362909

717975

436246

67607

51

349960

365590

720866

439535

68625

52

350015

368837

717985

434969

67000

53

349827

365589

720093

438565

68297

54

349934

365385

718190

435417

67162

55

349935

366555

718064

435236

67108

56

350655

363854

723011

441244

68889

57

350652

362703

723850

442647

69450

58

350532

362139

723158

441742

69118

59

350541

362166

722256

440276

68562

60

349508

360664

721893

441885

69501

61

348049

361367

717665

438008

68393

62

349635

365370

719341

437728

68023

63

351187

365742

723243

440794

68739

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_31/2bee4b08/HL_31/

number of processus

64

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

(0.5)*dTw_Channel4+Tw_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_p64.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p64.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

64

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

349429

361799

718854

437360

67936

1

349781

368500

719313

437466

67936

2

349862

366089

718413

435940

67390

3

349833

364594

718314

435834

67354

4

349517

362455

717546

435224

67196

5

350792

365297

720196

436893

67490

6

349868

364632

718419

435904

67354

7

349085

362049

716798

434890

67178

8

349656

362461

718039

435919

67537

9

350270

362873

719890

437524

67905

10

350260

364591

719852

437507

67916

11

350263

362644

719971

437659

67952

12

350285

364194

720363

438075

67998

13

350273

363600

720040

437778

68013

14

350166

364390

720397

438346

68116

15

349759

362999

719476

437702

67986

16

351050

364055

723623

441321

68749

17

351011

363579

723367

440965

68610

18

349311

361679

720222

439395

68485

19

351145

363185

723978

441669

68837

20

350021

363293

720874

439362

68503

21

349433

366855

723532

444575

70475

22

349460

362799

722011

442063

69513

23

349508

361737

722508

442773

69774

24

349901

362813

720130

438508

68280

25

349901

362819

720022

438317

68197

26

348400

360321

716897

436356

67860

27

351520

364918

723338

440326

68509

28

352088

364517

724478

440988

68599

29

347955

367040

719226

440836

69563

30

350714

361916

724974

444138

69878

31

350720

362430

725100

444356

69976

32

350620

362163

724882

444385

70115

33

349383

364430

718652

437159

67890

34

349707

364891

719344

437624

67987

35

349711

358535

722100

441734

69339

36

349426

359761

720339

439577

68664

37

350215

356580

722378

441125

68962

38

350798

358010

728665

449530

71663

39

350109

362791

731279

455149

73977

40

349917

363219

718358

435806

67366

41

349921

362840

718589

436130

67463

42

349942

368310

717937

435137

67143

43

350049

367088

717839

434776

66987

44

350342

364514

722955

441850

69237

45

350330

363550

725209

445383

70497

46

349922

359486

723551

443533

69899

47

349940

369300

719738

437899

68103

48

350137

363121

720767

438988

68359

49

350202

364332

720689

438727

68241

50

349338

362909

717975

436246

67607

51

349960

365590

720866

439535

68625

52

350015

368837

717985

434969

67000

53

349827

365589

720093

438565

68297

54

349934

365385

718190

435417

67162

55

349935

366555

718064

435236

67108

56

350655

363854

723011

441244

68889

57

350652

362703

723850

442647

69450

58

350532

362139

723158

441742

69118

59

350541

362166

722256

440276

68562

60

349508

360664

721893

441885

69501

61

348049

361367

717665

438008

68393

62

349635

365370

719341

437728

68023

63

351187

365742

723243

440794

68739
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

67936

67936

0

1

67936

67439

497

2

67390

66943

447

3

67354

65623

1731

4

67196

66527

669

5

67490

65765

1725

6

67354

65655

1699

7

67178

64929

2249

8

67537

67484

53

9

67905

66919

986

10

67916

66676

1240

11

67952

66533

1419

12

67998

67232

766

13

68013

65759

2254

14

68116

67407

709

15

67986

65631

2355

16

68749

68749

0

17

68610

67513

1097

18

68485

67411

1074

19

68837

66704

2133

20

68503

66480

2023

21

70475

69316

1159

22

69513

68784

729

23

69774

67581

2193

24

68280

68212

68

25

68197

67143

1054

26

67860

67326

534

27

68509

66756

1753

28

68599

67232

1367

29

69563

66766

2797

30

69878

69878

0

31

69976

67815

2161

32

70115

70115

0

33

67890

66539

1351

34

67987

66593

1394

35

69339

67993

1346

36

68664

68664

0

37

68962

67741

1221

38

71663

70686

977

39

73977

73125

852

40

67366

67366

0

41

67463

66158

1305

42

67143

65893

1250

43

66987

64315

2672

44

69237

69237

0

45

70497

69183

1314

46

69899

68879

1020

47

68103

64630

3473

48

68359

68359

0

49

68241

67125

1116

50

67607

67509

98

51

68625

66909

1716

52

67000

65921

1079

53

68297

66591

1706

54

67162

65438

1724

55

67108

64157

2951

56

68889

68823

66

57

69450

68353

1097

58

69118

68484

634

59

68562

67032

1530

60

69501

68478

1023

61

68393

65975

2418

62

68023

66367

1656

63

68739

66118

2621

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_31/2bee4b08/HL_31/

number of processus

64

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_p64.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p64.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

64

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

349429

361799

718854

437360

67936

1

349781

368500

719313

437466

67936

2

349862

366089

718413

435940

67390

3

349833

364594

718314

435834

67354

4

349517

362455

717546

435224

67196

5

350792

365297

720196

436893

67490

6

349868

364632

718419

435904

67354

7

349085

362049

716798

434890

67178

8

349656

362461

718039

435919

67537

9

350270

362873

719890

437524

67905

10

350260

364591

719852

437507

67916

11

350263

362644

719971

437659

67952

12

350285

364194

720363

438075

67998

13

350273

363600

720040

437778

68013

14

350166

364390

720397

438346

68116

15

349759

362999

719476

437702

67986

16

351050

364055

723623

441321

68749

17

351011

363579

723367

440965

68610

18

349311

361679

720222

439395

68485

19

351145

363185

723978

441669

68837

20

350021

363293

720874

439362

68503

21

349433

366855

723532

444575

70475

22

349460

362799

722011

442063

69513

23

349508

361737

722508

442773

69774

24

349901

362813

720130

438508

68280

25

349901

362819

720022

438317

68197

26

348400

360321

716897

436356

67860

27

351520

364918

723338

440326

68509

28

352088

364517

724478

440988

68599

29

347955

367040

719226

440836

69563

30

350714

361916

724974

444138

69878

31

350720

362430

725100

444356

69976

32

350620

362163

724882

444385

70115

33

349383

364430

718652

437159

67890

34

349707

364891

719344

437624

67987

35

349711

358535

722100

441734

69339

36

349426

359761

720339

439577

68664

37

350215

356580

722378

441125

68962

38

350798

358010

728665

449530

71663

39

350109

362791

731279

455149

73977

40

349917

363219

718358

435806

67366

41

349921

362840

718589

436130

67463

42

349942

368310

717937

435137

67143

43

350049

367088

717839

434776

66987

44

350342

364514

722955

441850

69237

45

350330

363550

725209

445383

70497

46

349922

359486

723551

443533

69899

47

349940

369300

719738

437899

68103

48

350137

363121

720767

438988

68359

49

350202

364332

720689

438727

68241

50

349338

362909

717975

436246

67607

51

349960

365590

720866

439535

68625

52

350015

368837

717985

434969

67000

53

349827

365589

720093

438565

68297

54

349934

365385

718190

435417

67162

55

349935

366555

718064

435236

67108

56

350655

363854

723011

441244

68889

57

350652

362703

723850

442647

69450

58

350532

362139

723158

441742

69118

59

350541

362166

722256

440276

68562

60

349508

360664

721893

441885

69501

61

348049

361367

717665

438008

68393

62

349635

365370

719341

437728

68023

63

351187

365742

723243

440794

68739
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

67777

67777

0

1

67366

66955

411

2

66946

66655

291

3

66901

65448

1453

4

66602

65958

644

5

66979

65790

1189

6

66958

65300

1658

7

66769

64845

1924

8

67250

67197

53

9

67660

66976

684

10

67767

66561

1206

11

67733

66424

1309

12

67778

67040

738

13

67735

65853

1882

14

67665

67111

554

15

67705

65913

1792

16

68460

68460

0

17

68300

67240

1060

18

68122

67578

544

19

68490

66862

1628

20

68276

66635

1641

21

69958

68905

1053

22

69133

68580

553

23

69335

67622

1713

24

68092

68024

68

25

67896

67267

629

26

67560

67032

528

27

68241

67002

1239

28

68338

67023

1315

29

69126

66954

2172

30

69670

69670

0

31

69796

68006

1790

32

70094

70094

0

33

67847

66512

1335

34

67942

66595

1347

35

69290

68007

1283

36

68597

68597

0

37

68944

67781

1163

38

71618

70709

909

39

73960

73108

852

40

67333

67333

0

41

67405

66107

1298

42

67075

65856

1219

43

66900

64325

2575

44

68932

68932

0

45

70326

69238

1088

46

69786

68819

967

47

67988

64633

3355

48

68262

68262

0

49

68047

66949

1098

50

67418

67320

98

51

68488

66800

1688

52

66681

65846

835

53

68135

66640

1495

54

67059

65484

1575

55

66983

64223

2760

56

68555

68489

66

57

69060

68428

632

58

68789

68171

618

59

68177

67141

1036

60

69286

68300

986

61

68079

66029

2050

62

67866

66415

1451

63

68624

66284

2340

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