Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/6311f485/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

4

name

lagrange

order

1

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

10572256

partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

340636

340636

0

1

339532

335566

3966

2

341083

337433

3650

3

339390

331311

8079

4

337294

332689

4605

5

337342

328817

8525

6

338686

330041

8645

7

338751

331950

6801

8

337835

331390

6445

9

338259

334237

4022

10

337744

334157

3587

11

337537

318418

19119

12

337593

332057

5536

13

338821

333308

5513

14

337211

326984

10227

15

337841

326481

11360

16

338166

338166

0

17

338098

331363

6735

18

337771

329645

8126

19

336854

322478

14376

20

337777

331779

5998

21

338757

332958

5799

22

338042

329720

8322

23

337030

317193

19837

24

336563

332760

3803

25

338012

328035

9977

26

338318

333287

5031

27

337762

328216

9546

28

336292

319365

16927

29

337790

320101

17689

30

343481

337661

5820

31

343025

334054

8971

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