Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/de8f4f1b/ThermalBridgesENISO10211/

number of processus

32

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_p32.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p32.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

32

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

32941

41598

68146

41671

6467

1

32773

40763

67799

41439

6414

2

32775

37743

68069

41876

6583

3

32769

37838

68102

41929

6597

4

33072

40310

68908

42601

6766

5

32880

40037

68175

41843

6549

6

33537

39124

69813

43085

6810

7

32672

36052

68116

42149

6706

8

32865

40372

68069

41712

6509

9

33062

42706

68349

41773

6487

10

33375

36207

70018

43702

7060

11

32994

38896

69110

43050

6935

12

33588

37561

69659

42770

6700

13

32884

39591

68101

41717

6501

14

33208

38826

68810

42190

6589

15

33064

40950

68375

41785

6475

16

33106

38759

68528

41937

6516

17

33998

40129

70405

43125

6719

18

33105

41493

68561

41981

6526

19

32664

40034

67495

41190

6360

20

32422

39396

67361

41484

6546

21

32414

39942

67214

41242

6443

22

33027

36803

68542

42106

6592

23

33097

39750

68528

41960

6530

24

33444

41396

69107

42182

6520

25

33001

38221

68442

42003

6563

26

33443

40328

69301

42496

6639

27

33015

37296

68483

42052

6585

28

33456

42678

69218

42340

6579

29

33448

42329

69164

42294

6579

30

33315

41317

68966

42209

6559

31

33078

39298

68551

42028

6556

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

10

name

lagrange

order

2

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

1493574
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

48138

48138

0

1

47853

46243

1610

2

48459

47476

983

3

48526

45983

2543

4

49367

49027

340

5

48392

45688

2704

6

49895

49066

829

7

48855

46680

2175

8

48221

46590

1631

9

48260

45815

2445

10

50762

49806

956

11

49985

47265

2720

12

49470

49470

0

13

48218

45152

3066

14

48779

47968

811

15

48260

44246

4014

16

48453

48453

0

17

49844

47289

2555

18

48507

47013

1494

19

47550

43973

3577

20

48030

46785

1245

21

47685

45467

2218

22

48698

47690

1008

23

48490

44292

4198

24

48702

47724

978

25

48566

46517

2049

26

49135

48264

871

27

48637

45907

2730

28

48919

45284

3635

29

48873

44539

4334

30

48768

45151

3617

31

48584

44613

3971

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