Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/345604ad/ThermalBridgesENISO10211/

number of processus

8

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_p8.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p8.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

8

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

132312

140471

271755

164310

24868

1

132311

145731

271577

164033

24768

2

132312

147742

273895

167596

26014

3

132311

140931

271859

164493

24946

4

132312

142444

273478

166932

25767

5

132311

142102

271785

164332

24859

6

132311

142936

271714

164244

24842

7

132312

143045

271580

164006

24739

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

20

name

lagrange

order

3

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

4958253
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

625243

625243

0

1

624411

617336

7075

2

635101

629652

5449

3

625791

615644

10147

4

633109

626943

6166

5

625308

617672

7636

6

625044

616490

8554

7

624331

609273

15058

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