Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/45824f95/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/M2/case3_p32.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M2/case3_p32.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

32

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

256281

287556

521597

310791

45476

1

256909

297860

523520

312694

46084

2

256245

286578

522013

311493

45726

3

256302

280999

522427

312084

45960

4

256310

282146

522128

311600

45783

5

255574

270560

520962

311231

45844

6

255263

285499

519184

309045

45125

7

255183

278397

519967

310377

45594

8

256606

289402

522396

311442

45653

9

257252

285659

523924

312554

45883

10

253564

270093

517103

309126

45588

11

259037

283583

527423

314558

46173

12

254800

281783

519621

310611

45791

13

255476

296866

520153

310236

45560

14

253247

272846

518806

312242

46684

15

254777

265467

522149

314473

47102

16

256273

290085

522220

311808

45862

17

256292

291907

521410

310576

45459

18

255878

282279

520938

310551

45492

19

256263

284186

522497

312276

46043

20

255965

278270

521196

310865

45635

21

255968

288671

520936

310399

45432

22

255975

279684

521479

311299

45796

23

255972

271707

521786

311749

45936

24

256091

287463

522405

312444

46131

25

256158

285282

523468

313866

46557

26

254797

278376

520304

311594

46088

27

256051

268323

522944

313283

46391

28

256090

281342

521455

310970

45606

29

256263

287178

521586

310836

45514

30

256240

279724

521893

311373

45721

31

256091

271329

522013

311826

45905

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

11179879
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

356267

356267

0

1

358778

353243

5535

2

357219

353043

4176

3

358044

348514

9530

4

357383

351036

6347

5

357075

352348

4727

6

354170

344044

10126

7

355971

345728

10243

8

357095

354017

3078

9

358437

353575

4862

10

354714

350050

4664

11

360731

350880

9851

12

356402

349611

6791

13

355796

337376

18420

14

358926

350741

8185

15

361575

354878

6697

16

357670

353076

4594

17

356035

344840

11195

18

356043

351801

4242

19

358319

340997

17322

20

356500

356500

0

21

355831

342980

12851

22

357095

347817

9278

23

357685

347835

9850

24

358575

351289

7286

25

360423

350330

10093

26

357682

347505

10177

27

359674

351960

7714

28

356576

351551

5025

29

356350

340433

15917

30

357094

347470

9624

31

357731

348144

9587

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