Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/71659d70/HL_31/

number of processus

32

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_p32.json

4.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p32.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

32

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

698894

705439

1441427

879915

137382

1

697666

716050

1433732

870915

134840

2

697640

718792

1429552

864559

132648

3

697624

716497

1430144

865478

132959

4

697694

712895

1440466

880889

138112

5

694607

719835

1438385

883813

140018

6

698118

716342

1435338

872476

135256

7

698043

710629

1436836

874866

136067

8

697368

714671

1430236

866123

133256

9

697454

714854

1430346

866123

133232

10

697035

720794

1432954

870924

135003

11

697353

716534

1430319

866324

133357

12

697823

717664

1433901

870840

134763

13

697759

715868

1434312

871559

135007

14

697742

717826

1438304

877225

136661

15

697743

712076

1436641

874512

135615

16

702986

719676

1442888

875136

135235

17

703990

719913

1444591

875871

135271

18

702086

716374

1442805

876454

135736

19

702052

726570

1444405

879079

136721

20

702451

715931

1447834

883157

137775

21

702554

716225

1446900

881428

137083

22

702107

718075

1443247

877076

135937

23

702109

726273

1446510

881806

137401

24

703309

716281

1448103

882151

137352

25

703328

712750

1445142

877502

135688

26

700244

707120

1444326

881894

137806

27

700376

713275

1460925

906993

146442

28

702945

712925

1449435

884645

138153

29

703490

725901

1447828

881551

137212

30

703594

719603

1441786

872205

134013

31

703492

724356

1440708

870708

133492

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_31/71659d70/HL_31/

number of processus

32

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

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

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

(0.5)*dTw_Channel2+Tw_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

(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

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_p32.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p32.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

32

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

698894

705439

1441427

879915

137382

1

697666

716050

1433732

870915

134840

2

697640

718792

1429552

864559

132648

3

697624

716497

1430144

865478

132959

4

697694

712895

1440466

880889

138112

5

694607

719835

1438385

883813

140018

6

698118

716342

1435338

872476

135256

7

698043

710629

1436836

874866

136067

8

697368

714671

1430236

866123

133256

9

697454

714854

1430346

866123

133232

10

697035

720794

1432954

870924

135003

11

697353

716534

1430319

866324

133357

12

697823

717664

1433901

870840

134763

13

697759

715868

1434312

871559

135007

14

697742

717826

1438304

877225

136661

15

697743

712076

1436641

874512

135615

16

702986

719676

1442888

875136

135235

17

703990

719913

1444591

875871

135271

18

702086

716374

1442805

876454

135736

19

702052

726570

1444405

879079

136721

20

702451

715931

1447834

883157

137775

21

702554

716225

1446900

881428

137083

22

702107

718075

1443247

877076

135937

23

702109

726273

1446510

881806

137401

24

703309

716281

1448103

882151

137352

25

703328

712750

1445142

877502

135688

26

700244

707120

1444326

881894

137806

27

700376

713275

1460925

906993

146442

28

702945

712925

1449435

884645

138153

29

703490

725901

1447828

881551

137212

30

703594

719603

1441786

872205

134013

31

703492

724356

1440708

870708

133492
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

137382

137382

0

1

134840

133956

884

2

132648

131230

1418

3

132959

129784

3175

4

138112

138112

0

5

140018

137971

2047

6

135256

133913

1343

7

136067

133769

2298

8

133256

133256

0

9

133232

131755

1477

10

135003

134074

929

11

133357

130072

3285

12

134763

133448

1315

13

135007

132340

2667

14

136661

135031

1630

15

135615

133039

2576

16

135235

135115

120

17

135271

133357

1914

18

135736

135734

2

19

136721

133472

3249

20

137775

137716

59

21

137083

135875

1208

22

135937

134131

1806

23

137401

133766

3635

24

137352

137352

0

25

135688

134299

1389

26

137806

137449

357

27

146442

144043

2399

28

138153

137763

390

29

137212

134885

2327

30

134013

133052

961

31

133492

129739

3753

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_31/71659d70/HL_31/

number of processus

32

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_p32.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p32.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

32

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

698894

705439

1441427

879915

137382

1

697666

716050

1433732

870915

134840

2

697640

718792

1429552

864559

132648

3

697624

716497

1430144

865478

132959

4

697694

712895

1440466

880889

138112

5

694607

719835

1438385

883813

140018

6

698118

716342

1435338

872476

135256

7

698043

710629

1436836

874866

136067

8

697368

714671

1430236

866123

133256

9

697454

714854

1430346

866123

133232

10

697035

720794

1432954

870924

135003

11

697353

716534

1430319

866324

133357

12

697823

717664

1433901

870840

134763

13

697759

715868

1434312

871559

135007

14

697742

717826

1438304

877225

136661

15

697743

712076

1436641

874512

135615

16

702986

719676

1442888

875136

135235

17

703990

719913

1444591

875871

135271

18

702086

716374

1442805

876454

135736

19

702052

726570

1444405

879079

136721

20

702451

715931

1447834

883157

137775

21

702554

716225

1446900

881428

137083

22

702107

718075

1443247

877076

135937

23

702109

726273

1446510

881806

137401

24

703309

716281

1448103

882151

137352

25

703328

712750

1445142

877502

135688

26

700244

707120

1444326

881894

137806

27

700376

713275

1460925

906993

146442

28

702945

712925

1449435

884645

138153

29

703490

725901

1447828

881551

137212

30

703594

719603

1441786

872205

134013

31

703492

724356

1440708

870708

133492
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

137300

137300

0

1

134497

133745

752

2

132487

131185

1302

3

132800

129825

2975

4

137492

137492

0

5

139290

137847

1443

6

134995

133759

1236

7

135886

133913

1973

8

132635

132635

0

9

132693

131249

1444

10

134185

133297

888

11

132471

129840

2631

12

134359

133182

1177

13

134561

132618

1943

14

136362

134989

1373

15

135442

132957

2485

16

134889

134769

120

17

135015

133168

1847

18

135654

135652

2

19

136460

133627

2833

20

137513

137454

59

21

136851

135680

1171

22

135796

134029

1767

23

136977

133586

3391

24

137289

137289

0

25

135624

134328

1296

26

137798

137441

357

27

146187

144158

2029

28

137877

137528

349

29

136987

134739

2248

30

133901

132952

949

31

133320

129857

3463

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