Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/7785a035/ThermalBridgesENISO10211/

number of processus

128

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_p128.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M2/case3_p128.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

128

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

64670

83104

132868

80360

12163

1

64133

81843

131526

79324

11932

2

63564

79324

130542

78882

11905

3

63942

83774

131303

79365

12005

4

63953

84149

131293

79324

11985

5

63559

81211

130568

78936

11928

6

64114

81191

131686

79601

12030

7

63950

75015

131430

79528

12049

8

63561

77012

130941

79512

12133

9

64567

72873

133114

80920

12374

10

63751

72981

131463

79967

12256

11

63683

69305

131598

80270

12356

12

63348

75915

130425

79125

12049

13

63353

75679

130630

79423

12147

14

63260

68805

130579

79526

12208

15

64740

73721

133486

81171

12426

16

64139

80103

131737

79637

12040

17

64431

75720

132368

80054

12118

18

63477

75112

130791

79446

12133

19

63045

78816

129430

78170

11786

20

63748

80298

131012

79273

12010

21

63745

79538

130903

79090

11933

22

64918

82565

133537

80928

12310

23

63386

78399

130100

78541

11828

24

64102

74894

131953

80039

12189

25

64123

80498

131616

79486

11994

26

63819

77274

131323

79604

12101

27

64817

72562

133497

81073

12394

28

64784

77702

133175

80613

12223

29

62915

75534

129371

78337

11882

30

65121

80800

133640

80689

12171

31

63303

78897

130130

78759

11933

32

63961

76346

131589

79749

12122

33

63968

72380

131687

79912

12194

34

63048

74101

129818

78774

12005

35

63871

79655

131207

79342

12007

36

63693

79322

130860

79141

11975

37

64280

80176

131875

79579

11985

38

64268

75576

132275

80209

12203

39

64290

76325

132125

79955

12121

40

63964

76620

131547

79684

12102

41

64354

79637

132570

80501

12286

42

64273

81323

132091

79950

12133

43

64002

80071

131378

79349

11974

44

63559

79799

130467

78783

11876

45

63547

78466

130439

78772

11881

46

64102

80996

131834

79862

12131

47

64118

80523

131593

79462

11988

48

64302

75158

132328

80228

12203

49

64082

74685

131833

79877

12127

50

64276

77186

132011

79781

12047

51

64054

77304

131675

79699

12079

52

63297

75420

130066

78640

11872

53

64147

73087

132138

80217

12227

54

64349

71252

132526

80460

12284

55

64327

74376

132438

80355

12245

56

63946

77849

131540

79696

12103

57

63115

77385

129647

78366

11835

58

64895

78569

133436

80784

12244

59

64938

77943

133427

80690

12202

60

64171

73216

132262

80374

12284

61

64167

80233

131977

79946

12137

62

63350

74747

130190

78786

11947

63

64131

81307

131543

79381

11970

64

63419

79804

130186

78610

11844

65

64412

75587

132377

80116

12152

66

64319

78670

132426

80367

12261

67

63722

82192

131160

79551

12114

68

64152

80723

131754

79649

12048

69

64155

80826

131850

79779

12085

70

64066

82329

131487

79434

12014

71

63444

81863

130281

78730

11894

72

64455

78915

132626

80415

12245

73

64092

75173

131709

79671

12055

74

64397

81334

132465

80266

12199

75

64430

81344

132485

80236

12182

76

64909

77232

133403

80729

12236

77

63136

71184

130191

79183

12129

78

63142

74666

129807

78584

11920

79

64386

80323

132151

79783

12019

80

65539

79316

134864

81795

12471

81

62668

73990

128889

78067

11847

82

64414

79426

132042

79565

11938

83

64649

80480

132730

80176

12096

84

64674

76609

133153

80817

12339

85

62800

77106

128857

77780

11724

86

64654

81118

132692

80129

12092

87

64303

76089

132196

80017

12125

88

62538

75896

128501

77720

11758

89

63819

82006

130921

78996

11895

90

64420

78735

132553

80361

12229

91

63808

82863

131119

79297

11987

92

65270

81428

133833

80688

12126

93

63340

78603

130053

78561

11849

94

63243

79146

129963

78604

11885

95

63335

80032

130306

78957

11987

96

64313

78319

132273

80141

12182

97

63434

77307

130440

78991

11986

98

64319

80283

131894

79542

11968

99

64322

75368

132558

80573

12338

100

63146

80104

129678

78364

11833

101

63299

80175

129950

78482

11832

102

63578

79718

130565

78913

11927

103

64660

78020

132888

80425

12198

104

63306

79054

129962

78520

11865

105

62836

78992

129000

77920

11757

106

64953

83531

133198

80358

12114

107

63874

80922

131228

79378

12025

108

63276

77353

129949

78529

11857

109

64747

81697

132780

80097

12065

110

64311

78430

132049

79792

12055

111

64901

85141

133200

80467

12169

112

63152

74429

129791

78532

11894

113

64317

75840

132288

80160

12190

114

64104

79812

131511

79373

11967

115

63532

79912

130580

79019

11972

116

64019

72025

131797

79978

12201

117

63552

74800

130801

79332

12084

118

64906

77861

133433

80800

12274

119

63977

79542

131373

79386

11991

120

63281

78676

129947

78531

11866

121

64466

75564

132719

80532

12280

122

63809

79638

131043

79200

11967

123

64711

76386

132940

80409

12181

124

63818

81334

131252

79493

12060

125

63265

78556

129832

78370

11804

126

64092

79893

131481

79351

11963

127

63941

79452

131223

79225

11944

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

305751

305751

0

1

302106

295415

6691

2

300211

300211

0

3

302038

289487

12551

4

301926

300344

1582

5

300368

286342

14026

6

302918

296131

6787

7

302535

297011

5524

8

302098

295548

6550

9

307328

302965

4363

10

303653

299878

3775

11

304494

296438

8056

12

300724

292839

7885

13

301623

293738

7885

14

301839

298853

2986

15

308254

295797

12457

16

303051

303051

0

17

304594

299526

5068

18

301816

296493

5323

19

297556

287484

10072

20

301568

291040

10528

21

301016

292305

8711

22

307703

293767

13936

23

299010

284243

14767

24

304220

299677

4543

25

302582

291085

11497

26

302632

297462

5170

27

308037

297398

10639

28

306624

299987

6637

29

297927

285223

12704

30

307189

291525

15664

31

299581

278494

21087

32

303209

303209

0

33

303705

298514

5191

34

299371

293808

5563

35

301898

290434

11464

36

301117

301117

0

37

303018

292627

10391

38

304896

294557

10339

39

304156

294390

9766

40

303017

296305

6712

41

305858

299398

6460

42

304124

291808

12316

43

302050

289296

12754

44

299909

290035

9874

45

299864

290622

9242

46

303689

287440

16249

47

302505

285470

17035

48

304987

304987

0

49

303714

297833

5881

50

303620

299962

3658

51

303152

295777

7375

52

299218

294690

4528

53

304799

300082

4717

54

305730

300329

5401

55

305393

291523

13870

56

303035

295513

7522

57

298214

287901

10313

58

307248

294128

13120

59

307009

295425

11584

60

305294

298314

6980

61

304006

287983

16023

62

299709

288619

11090

63

302275

279625

22650

64

299250

299250

0

65

304761

299519

5242

66

305421

295198

10223

67

302376

288911

13465

68

303100

297012

6088

69

303493

296331

7162

70

302369

289093

13276

71

299635

285336

14299

72

305701

297069

8632

73

303106

296817

6289

74

305196

299513

5683

75

305139

287468

17671

76

307097

299917

7180

77

300686

295648

5038

78

298895

292432

6463

79

303736

288300

15436

80

310925

302713

8212

81

296870

290773

6097

82

303110

292624

10486

83

305178

293732

11446

84

307126

302205

4921

85

296141

286438

9703

86

305042

293766

11276

87

304355

288331

16024

88

295699

289992

5707

89

300808

284904

15904

90

305504

301138

4366

91

301700

283786

17914

92

307335

294608

12727

93

299024

283120

15904

94

299056

289136

9920

95

300207

277581

22626

96

304737

304737

0

97

300408

294566

5842

98

302946

293173

9773

99

306042

291179

14863

100

298239

290324

7915

101

298746

291848

6898

102

300318

285224

15094

103

305936

292621

13315

104

298867

293436

5431

105

296597

290314

6283

106

306028

291705

14323

107

302009

283951

18058

108

298864

288501

10363

109

305039

287008

18031

110

303688

290757

12931

111

306303

279768

26535

112

298749

293207

5542

113

304798

300045

4753

114

302224

298425

3799

115

300590

281944

18646

116

303954

303954

0

117

301549

295851

5698

118

307307

293964

13343

119

302136

288653

13483

120

298875

294935

3940

121

306063

294446

11617

122

301410

292078

9332

123

305939

290041

15898

124

302298

288512

13786

125

298376

284161

14215

126

302146

285552

16594

127

301617

280656

20961

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