Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/888f7b72/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_31/888f7b72/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

Tw_Channel1+(0.5)*dTw_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

(0.5)*dTw_Channel11+Tw_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_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

10

name

lagrange

order

2

shape

scalar
Dof Table

extended-doftable

0

nDof

32220414
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

505296

505296

0

1

505402

503611

1791

2

503330

501670

1660

3

503188

496717

6471

4

502420

499930

2490

5

504383

497938

6445

6

503258

496925

6333

7

502068

493660

8408

8

503456

503308

148

9

505429

501769

3660

10

505423

500846

4577

11

505611

500341

5270

12

506073

503256

2817

13

505791

497495

8296

14

506462

503845

2617

15

505688

496963

8725

16

510070

510070

0

17

509575

505520

4055

18

507880

503921

3959

19

510506

502609

7897

20

507865

500403

7462

21

515050

510865

4185

22

511576

508951

2625

23

512547

504558

7989

24

506788

506605

183

25

506514

502600

3914

26

504216

502238

1978

27

508835

502387

6448

28

509587

504522

5065

29

510399

500106

10293

30

514016

514016

0

31

514332

506490

7842

32

514500

514500

0

33

505049

500050

4999

34

505611

500448

5163

35

511073

506088

4985

36

508241

508241

0

37

510087

505666

4421

38

521193

517603

3590

39

529126

526113

3013

40

503172

503172

0

41

503593

498743

4850

42

502280

497637

4643

43

501763

491757

10006

44

511087

511087

0

45

515880

511053

4827

46

513432

509778

3654

47

506002

493122

12880

48

507347

507347

0

49

506968

502845

4123

50

503853

503533

320

51

508160

501882

6278

52

501969

497944

4025

53

506862

500584

6278

54

502579

496156

6423

55

502344

491300

11044

56

510133

509943

190

57

512097

508045

4052

58

510860

508590

2270

59

508838

503182

5656

60

511386

507613

3773

61

506401

497502

8899

62

505751

499619

6132

63

509533

499840

9693

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_31/888f7b72/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

10

name

lagrange

order

2

shape

scalar
Dof Table

extended-doftable

0

nDof

29456526
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

453324

453324

0

1

453324

451982

1342

2

447860

446862

998

3

448713

443833

4880

4

449476

447304

2172

5

449734

445708

4026

6

449196

443631

5565

7

451088

444541

6547

8

442321

442173

148

9

446683

444333

2350

10

444896

440928

3968

11

447841

443501

4340

12

450754

448307

2447

13

447074

440837

6237

14

453233

451413

1820

15

452225

446207

6018

16

456453

456453

0

17

455698

452184

3514

18

454615

452791

1824

19

456842

451359

5483

20

458127

452491

5636

21

464866

461293

3573

22

454959

453127

1832

23

458305

452675

5630

24

451774

451591

183

25

449468

447349

2119

26

448106

446340

1766

27

452474

448381

4093

28

453070

448707

4363

29

458997

451765

7232

30

457784

457784

0

31

458545

452541

6004

32

491719

491719

0

33

478640

473731

4909

34

479252

474329

4923

35

489900

485216

4684

36

481705

481705

0

37

487029

482861

4168

38

509061

505779

3282

39

512143

509151

2992

40

478086

478086

0

41

478607

473986

4621

42

475260

470789

4471

43

474947

465595

9352

44

469758

469758

0

45

484205

480348

3857

46

479833

476461

3372

47

476451

464411

12040

48

473758

473758

0

49

472465

468656

3809

50

469113

468793

320

51

475237

469360

5877

52

461915

458963

2952

53

471274

466060

5214

54

465826

460319

5507

55

464859

455183

9676

56

457273

457083

190

57

464790

462656

2134

58

461132

459105

2027

59

458424

454950

3474

60

469341

466030

3311

61

453393

446509

6884

62

470655

465509

5146

63

476175

467952

8223

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