Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/c91ae1d8/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/M3/case3_p32.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M3/case3_p32.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

8.183349e-03

h_max

1.161483e-02

h_min

4.779459e-03

n_edges

75307308

n_elements

63987199

n_faces

128722252

n_partition

32

n_points

10572256

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

1999829

2149333

4042805

2383611

340636

1

1999824

2087731

4040640

2380347

339532

2

1999816

2047970

4043509

2384775

341083

3

1999825

2081361

4040595

2380159

339390

4

1999816

2130122

4036525

2374002

337294

5

1999820

2112807

4036137

2373658

337342

6

1999824

2109611

4038925

2377786

338686

7

1999802

2063037

4039116

2378064

338751

8

1999813

2090709

4037367

2375388

337835

9

1999814

2088611

4038293

2376737

338259

10

1999818

2131822

4037395

2375320

337744

11

1999816

2136781

4036706

2374426

337537

12

1999867

2100268

4036991

2374716

337593

13

1999864

2062777

4039174

2378130

338821

14

1999858

2125158

4036239

2373591

337211

15

1999856

2099245

4037313

2375297

337841

16

1999803

2088318

4037932

2376294

338166

17

1999820

2139575

4037972

2376249

338098

18

1999818

2135750

4037192

2375144

337771

19

1999818

2131423

4035545

2372580

336854

20

1999826

2102808

4037177

2375127

337777

21

1999818

2060059

4039052

2377990

338757

22

1999818

2090779

4037676

2375899

338042

23

1999819

2127989

4035950

2373160

337030

24

1999815

2122155

4034980

2371727

336563

25

1999816

2090235

4037635

2375830

338012

26

1999813

2066660

4038280

2376784

338318

27

1999823

2091852

4037314

2375252

337762

28

1999821

2160887

4034442

2370912

336292

29

1999838

2137776

4037049

2375000

337790

30

1996236

2055182

4042819

2390063

343481

31

1996235

2053616

4042081

2388870

343025

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

85879564

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

2724247

2724247

0

1

2719879

2704335

15544

2

2725858

2711585

14273

3

2719549

2687829

31720

4

2711296

2693210

18086

5

2711000

2677456

33544

6

2716472

2682390

34082

7

2716815

2690038

26777

8

2713223

2687849

25374

9

2714996

2699217

15779

10

2713064

2698992

14072

11

2711963

2636420

75543

12

2712309

2690527

21782

13

2716951

2695261

21690

14

2710802

2670552

40250

15

2713138

2668402

44736

16

2714460

2714460

0

17

2714347

2687807

26540

18

2712915

2680983

31932

19

2709434

2652660

56774

20

2712904

2689304

23600

21

2716747

2693935

22812

22

2713941

2681257

32684

23

2710190

2631659

78531

24

2708290

2693353

14937

25

2713842

2674509

39333

26

2715102

2695321

19781

27

2713014

2675370

37644

28

2707204

2640439

66765

29

2712790

2642856

69934

30

2733544

2710644

22900

31

2731895

2696697

35198

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