Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/ba32da44/ThermalBridgesENISO10211/

number of processus

64

2. Physics

2.1. heat

2.1.1. default

modeling

heat

type

heat

name

default

Equation

- div( k grad T ) = 0

3. Physics2

time mode

Stationary

4. Materials Properties

number of materials

5

4.1. Material : External_wall

Name Expression Symbol Shape Components

density

2000

materials_External_wall_rho

scalar

specific-heat-capacity

1000

materials_External_wall_Cp

scalar

thermal-conductivity

1

materials_External_wall_k

scalar

4.2. Material : Floor

Name Expression Symbol Shape Components

density

1000

materials_Floor_rho

scalar

specific-heat-capacity

800

materials_Floor_Cp

scalar

thermal-conductivity

1

materials_Floor_k

scalar

4.3. Material : Horizontal_structure

Name Expression Symbol Shape Components

density

5000

materials_Horizontal_structure_rho

scalar

specific-heat-capacity

600

materials_Horizontal_structure_Cp

scalar

thermal-conductivity

2.5

materials_Horizontal_structure_k

scalar

4.4. Material : Insulation

Name Expression Symbol Shape Components

density

200

materials_Insulation_rho

scalar

specific-heat-capacity

1000

materials_Insulation_Cp

scalar

thermal-conductivity

0.04

materials_Insulation_k

scalar

4.5. Material : Internal_wall

Name Expression Symbol Shape Components

density

1700

materials_Internal_wall_rho

scalar

specific-heat-capacity

800

materials_Internal_wall_Cp

scalar

thermal-conductivity

0.7

materials_Internal_wall_k

scalar

4.6. Multi-Materials

Name Expression Symbol Shape Components

density

concat(…​)

materials_rho

scalar

specific-heat-capacity

concat(…​)

materials_Cp

scalar

thermal-conductivity

concat(…​)

materials_k

scalar

5. Boundary Conditions

5.1. Convective Heat Flux

5.1.1. alpha

expr_h

h_alpha

expr_Text

T0_alpha

markers

alpha

5.1.2. beta

expr_h

h_beta

expr_Text

T0_beta

markers

beta

5.1.3. gamma

expr_h

h_gamma

expr_Text

T0_gamma

markers

gamma

6. Meshes

6.1. Mesh : heat

Discretization

/Mesh/heat

filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p64.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p64.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

3.258463e-02

h_max

4.434795e-02

h_min

1.754546e-02

n_edges

1299920

n_elements

1058492

n_faces

2164759

n_partition

64

n_points

193654

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

16296

23529

33932

20970

3335

1

16277

22066

33888

20920

3310

2

16713

22571

34727

21398

3385

3

16716

21525

34873

21613

3457

4

16721

19008

35298

22248

3672

5

16388

20230

34535

21706

3560

6

16415

21826

34647

21837

3606

7

16146

18056

34061

21444

3530

8

16526

21119

34459

21333

3401

9

17023

19824

35649

22214

3589

10

16652

22226

34700

21465

3418

11

16695

20765

34810

21555

3441

12

16297

22022

33899

20910

3309

13

16292

21829

33899

20922

3316

14

16194

20328

33799

20950

3346

15

16605

21094

34679

21528

3455

16

16519

20915

34522

21443

3441

17

16474

19270

34504

21505

3476

18

16755

22050

34882

21547

3421

19

16543

20828

34554

21447

3437

20

16727

22234

34812

21485

3401

21

16465

21994

34313

21217

3370

22

16693

22861

34795

21517

3416

23

16484

20099

34417

21343

3411

24

16153

20001

33770

20990

3374

25

16604

22551

34607

21412

3410

26

16527

22406

34397

21232

3363

27

16276

21203

33935

21000

3342

28

16428

23674

34247

21204

3386

29

16427

22060

34249

21215

3394

30

16508

22974

34406

21288

3391

31

16439

23381

34363

21358

3435

32

16660

22320

34696

21430

3395

33

16660

20496

34741

21507

3427

34

16655

22823

34727

21495

3424

35

16067

21645

33478

20691

3281

36

16635

22454

34672

21443

3407

37

16598

20593

34654

21491

3436

38

16769

19599

35053

21788

3505

39

16634

20876

34714

21514

3435

40

16695

20110

34917

21719

3498

41

16253

18641

34181

21429

3502

42

16815

20743

35186

21898

3528

43

16543

21271

34579

21476

3441

44

16502

21456

34469

21384

3418

45

16677

20070

34932

21779

3525

46

16576

23761

34512

21327

3392

47

16632

21049

34692

21495

3436

48

16765

20967

34978

21675

3463

49

16411

21845

34133

21038

3317

50

16830

19596

35204

21898

3525

51

16421

21256

34326

21329

3425

52

16714

22243

35076

21934

3573

53

16740

22263

34968

21719

3492

54

16733

24309

34928

21674

3480

55

16742

22649

34874

21557

3426

56

16825

22549

34976

21548

3398

57

16799

23116

35062

21731

3469

58

16256

21530

33804

20834

3287

59

16255

20138

34018

21172

3410

60

16064

19991

33593

20878

3350

61

16252

21067

33935

21050

3368

62

16904

23438

35293

21888

3500

63

16432

21759

34201

21110

3342

6.1.3. Fields

7. Function Spaces

7.1. Temperature

mesh

/Mesh/heat

nSpace

1

7.1.1. Basis

is_continuous

1

nComponents

1

nComponents1

1

nComponents2

1

nLocalDof

4

name

lagrange

order

1

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

193654
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

3335

3335

0

1

3310

3042

268

2

3385

3156

229

3

3457

3247

210

4

3672

3672

0

5

3560

3157

403

6

3606

3215

391

7

3530

3183

347

8

3401

3401

0

9

3589

3289

300

10

3418

3022

396

11

3441

2779

662

12

3309

3184

125

13

3316

2549

767

14

3346

3107

239

15

3455

2727

728

16

3441

3441

0

17

3476

3203

273

18

3421

3077

344

19

3437

3139

298

20

3401

3401

0

21

3370

2851

519

22

3416

2848

568

23

3411

2966

445

24

3374

2980

394

25

3410

2727

683

26

3363

2920

443

27

3342

2693

649

28

3386

3149

237

29

3394

2803

591

30

3391

2876

515

31

3435

2735

700

32

3395

3395

0

33

3427

3178

249

34

3424

2959

465

35

3281

2857

424

36

3407

3058

349

37

3436

3152

284

38

3505

3269

236

39

3435

2730

705

40

3498

3498

0

41

3502

3262

240

42

3528

3291

237

43

3441

3100

341

44

3418

2913

505

45

3525

3050

475

46

3392

2492

900

47

3436

2731

705

48

3463

3463

0

49

3317

3095

222

50

3525

3525

0

51

3425

2783

642

52

3573

3147

426

53

3492

2788

704

54

3480

2662

818

55

3426

2640

786

56

3398

2879

519

57

3469

3056

413

58

3287

2741

546

59

3410

2953

457

60

3350

3132

218

61

3368

2717

651

62

3500

2746

754

63

3342

2518

824

8. Fields

8.1. 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

9. Algebraic Solver

9.1. Backend

prefix

heat

type

petsc

9.2. KSP

atol

1.000000e-50

dtol

1.000000e+05

maxit

1000

reuse-prec

0

rtol

1.000000e-08

type

gmres

9.3. SNES

atol

1.000000e-50

maxit

50

reuse-jac

0

rtol

1.000000e-08

stol

1.000000e-08

9.4. KSP in SNES

maxit

1000

reuse-prec

0

rtol

1.000000e-05

9.5. PC

type

gamg