Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/c8addc44/ThermalBridgesENISO10211/

number of processus

16

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_p16.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p16.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

16

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

65794

76833

135318

81972

12449

1

66408

72175

137184

83700

12925

2

66127

70994

137119

84108

13117

3

67876

76902

140395

85830

13312

4

65647

74448

135189

82073

12532

5

65417

71505

135045

82289

12662

6

65781

79338

135603

82495

12674

7

67573

76849

139221

84568

12921

8

66010

71891

136226

82985

12770

9

65993

75039

135879

82493

12608

10

65771

79238

135540

82403

12635

11

66073

74967

136201

82826

12699

12

66060

71497

136291

82980

12750

13

66060

76327

136087

82642

12616

14

65832

71039

137756

85644

13721

15

66070

76670

136129

82740

12682

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

1493574
partition id nLocalDofWithGhost nLocalDofWithoutGhost nLocalGhost

0

94421

94421

0

1

96625

94573

2052

2

97225

97225

0

3

99142

95712

3430

4

94605

93085

1520

5

94951

92801

2150

6

95169

90760

4409

7

97489

93872

3617

8

95755

95755

0

9

95101

92766

2335

10

95038

90709

4329

11

95525

89891

5634

12

95730

95730

0

13

95258

89847

5411

14

99365

97535

1830

15

95422

88892

6530

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