Toolbox::thermoelectric - Use Case Study

1. Environment

prefix

thermo-electric

keyword

thermoelectric

root repository

/data/cemosis/benchmark/toolboxes/thermoelectric/HL_31/77eb0048/HL_31/

number of processus

16

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_p16.json

4.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p16.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

16

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

1400064

1426040

2871063

1738290

267286

1

1400047

1426319

2871697

1739337

267679

2

1400020

1422468

2881000

1752481

271502

3

1400224

1415891

2874553

1743120

268791

4

1400022

1414952

2875471

1745111

269663

5

1400022

1429427

2874680

1744344

269680

6

1400239

1413675

2882395

1754538

272383

7

1400233

1428921

2879916

1751630

271949

8

1404404

1418595

2874927

1735833

265310

9

1404641

1418967

2891209

1759927

273347

10

1395407

1412468

2878506

1757829

274718

11

1396850

1405172

2869388

1741581

269042

12

1399990

1412816

2865184

1729683

264489

13

1399757

1419996

2884552

1759178

274371

14

1399854

1406363

2878072

1749120

270891

15

1399902

1411422

2898319

1779646

281227

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_31/77eb0048/HL_31/

number of processus

16

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

(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

(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_p16.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p16.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

16

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

1400064

1426040

2871063

1738290

267286

1

1400047

1426319

2871697

1739337

267679

2

1400020

1422468

2881000

1752481

271502

3

1400224

1415891

2874553

1743120

268791

4

1400022

1414952

2875471

1745111

269663

5

1400022

1429427

2874680

1744344

269680

6

1400239

1413675

2882395

1754538

272383

7

1400233

1428921

2879916

1751630

271949

8

1404404

1418595

2874927

1735833

265310

9

1404641

1418967

2891209

1759927

273347

10

1395407

1412468

2878506

1757829

274718

11

1396850

1405172

2869388

1741581

269042

12

1399990

1412816

2865184

1729683

264489

13

1399757

1419996

2884552

1759178

274371

14

1399854

1406363

2878072

1749120

270891

15

1399902

1411422

2898319

1779646

281227
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

267286

267286

0

1

267679

264646

3033

2

271502

271009

493

3

268791

265992

2799

4

269663

269663

0

5

269680

266343

3337

6

272383

272249

134

7

271949

266698

5251

8

265310

265310

0

9

273347

271029

2318

10

274718

272621

2097

11

269042

268262

780

12

264489

264489

0

13

274371

271749

2622

14

270891

270408

483

15

281227

279126

2101

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_31/77eb0048/HL_31/

number of processus

16

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_p16.json
Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/HL_31/HL-31_p16.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

16

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

1400064

1426040

2871063

1738290

267286

1

1400047

1426319

2871697

1739337

267679

2

1400020

1422468

2881000

1752481

271502

3

1400224

1415891

2874553

1743120

268791

4

1400022

1414952

2875471

1745111

269663

5

1400022

1429427

2874680

1744344

269680

6

1400239

1413675

2882395

1754538

272383

7

1400233

1428921

2879916

1751630

271949

8

1404404

1418595

2874927

1735833

265310

9

1404641

1418967

2891209

1759927

273347

10

1395407

1412468

2878506

1757829

274718

11

1396850

1405172

2869388

1741581

269042

12

1399990

1412816

2865184

1729683

264489

13

1399757

1419996

2884552

1759178

274371

14

1399854

1406363

2878072

1749120

270891

15

1399902

1411422

2898319

1779646

281227
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

266108

266108

0

1

266567

263629

2938

2

270925

270458

467

3

268326

266113

2213

4

269547

269547

0

5

269240

266190

3050

6

271977

271843

134

7

271434

266473

4961

8

265005

265005

0

9

272987

271037

1950

10

273931

272136

1795

11

268932

268176

756

12

264358

264358

0

13

274028

271505

2523

14

270855

270375

480

15

281188

279137

2051

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