Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/39768c0a/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/M2/case3_p64.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M2/case3_p64.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

1.631997e-02

h_max

2.264516e-02

h_min

9.809905e-03

n_edges

9778744

n_elements

8189193

n_faces

16566803

n_partition

64

n_points

1401135

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

128597

151138

262648

157383

23333

1

128172

149946

261686

156737

23224

2

127285

145598

260232

156189

23243

3

128161

146844

262451

157948

23659

4

128682

152838

262813

157486

23356

5

128712

156538

263461

158424

23676

6

129445

154325

264406

158512

23552

7

126211

149300

257986

154767

22993

8

128317

145891

262432

157619

23505

9

128089

146020

261848

157157

23399

10

128129

151044

261752

156906

23284

11

127841

151239

261186

156569

23225

12

128301

145264

262260

157367

23409

13

129352

140270

264757

159231

23827

14

126428

141875

258897

155785

23317

15

126433

148862

258435

155051

23050

16

128131

146537

262130

157495

23497

17

125778

136400

257445

154780

23114

18

128086

146131

262010

157372

23449

19

128292

147805

262453

157694

23534

20

128700

151043

262875

157516

23342

21

128597

150667

262652

157354

23300

22

128170

152916

262139

157412

23444

23

127781

144372

261388

156990

23384

24

128698

155595

262933

157658

23424

25

126683

144636

259650

156443

23477

26

128399

140951

263135

158497

23762

27

128381

147906

262774

157949

23557

28

128476

145503

263472

158853

23858

29

128340

137009

263011

158404

23734

30

128477

144885

263066

158233

23645

31

128379

147962

262934

158190

23636

32

126101

146270

257834

154742

23010

33

127527

151086

260464

156053

23117

34

127747

143448

261654

157481

23575

35

129817

153923

265349

159226

23695

36

128593

153890

263098

158103

23599

37

128263

150949

262302

157511

23473

38

128632

159595

263060

157992

23565

39

127814

150547

260886

156164

23093

40

128224

149916

261873

156899

23251

41

126485

148675

258382

154844

22948

42

126358

142203

258472

155241

23128

43

130884

151849

267563

160575

23897

44

127474

138091

261004

157008

23479

45

130955

149258

267790

160791

23957

46

125988

141091

257937

155114

23166

47

125980

147365

257250

154100

22831

48

128175

151236

261792

156888

23272

49

127405

148753

260132

155790

23064

50

128171

150863

261784

156877

23265

51

128139

144232

262040

157316

23416

52

129140

151564

263818

158172

23495

53

126388

143329

258699

155537

23227

54

129119

141442

264165

158734

23689

55

128084

144399

262008

157380

23457

56

126362

146931

258661

155527

23229

57

128225

156521

261877

156973

23322

58

127527

150919

260679

156388

23237

59

127537

143642

261044

156977

23471

60

127029

139857

261154

158053

23929

61

127842

136850

262783

158999

24059

62

127947

135810

263116

159309

24141

63

127738

153360

262302

158475

23912

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

20

name

lagrange

order

3

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

37525426
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

600747

600747

0

1

598384

591792

6592

2

595853

589552

6301

3

602006

584041

17965

4

601141

601141

0

5

603985

596232

7753

6

604982

592162

12820

7

590513

569736

20777

8

601175

601175

0

9

599561

590578

8983

10

598848

585250

13598

11

597549

571079

26470

12

600403

590367

10036

13

607046

598651

8395

14

593784

582016

11768

15

591587

560963

30624

16

600617

600617

0

17

590119

581916

8203

18

600203

600203

0

19

601375

579278

22097

20

601249

586778

14471

21

600660

587405

13255

22

600407

580435

19972

23

598752

582308

16444

24

601673

581020

20653

25

596013

575204

20809

26

603891

599366

4525

27

602229

584657

17572

28

605036

600805

4231

29

603553

591354

12199

30

603177

594578

8599

31

602950

583467

19483

32

590328

582788

7540

33

595687

584175

11512

34

600191

593311

6880

35

607496

580579

26917

36

602903

588280

14623

37

600797

582034

18763

38

602609

586051

16558

39

596307

576323

19984

40

598922

592708

6214

41

591018

575846

15172

42

592082

585667

6415

43

612610

596112

16498

44

598499

591525

6974

45

613329

598149

15180

46

591331

578612

12719

47

588281

559205

29076

48

598840

582168

16672

49

594776

586750

8026

50

598803

582026

16777

51

600088

583749

16339

52

603657

594020

9637

53

593000

584428

8572

54

605322

595727

9595

55

600225

577631

22594

56

592944

581746

11198

57

599145

576033

23112

58

596692

576705

19987

59

598469

576967

21502

60

601189

599718

1471

61

604840

592500

12340

62

605875

600188

5687

63

603164

568832

34332

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