Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/a2abc5fb/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

4

name

lagrange

order

1

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

1401135
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

45476

45476

0

1

46084

44655

1429

2

45726

44644

1082

3

45960

43510

2450

4

45783

44144

1639

5

45844

44621

1223

6

45125

42526

2599

7

45594

42961

2633

8

45653

44849

804

9

45883

44626

1257

10

45588

44379

1209

11

46173

43639

2534

12

45791

44024

1767

13

45560

40845

4715

14

46684

44587

2097

15

47102

45353

1749

16

45862

44669

1193

17

45459

42588

2871

18

45492

44396

1096

19

46043

41605

4438

20

45635

45635

0

21

45432

42124

3308

22

45796

43409

2387

23

45936

43403

2533

24

46131

44255

1876

25

46557

43946

2611

26

46088

43455

2633

27

46391

44388

2003

28

45606

44305

1301

29

45514

41434

4080

30

45721

43246

2475

31

45905

43438

2467

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