Toolbox : solid :: Toolboxes Manual

1. Environment

prefix

solid

keyword

solid

root repository

/home/congo/feelppdb/toolboxes/solid/suspension/P2/np_1

number of processus

1

2. Physics

2.1. solid

2.1.1. solid

modeling

solid

type

solid

name

solid

Equation

Hyper-Elasticity

3. Physics2

time mode

Transient

4. Materials Properties

number of materials

1

4.1. Material : omega

Name	Expression	Symbol	Shape
Lame-first-parameter	-(1+materials_omega_nu)^{(-1)materials_omega_E(-1+2materials_omega_nu)}(-1)materials_omega_nu	materials_omega_lambdaLame	scalar
Lame-second-parameter	1/2materials_omega_E(1+materials_omega_nu)^(-1)	materials_omega_muLame	scalar
Poisson-ratio	0.3	materials_omega_nu	scalar
Young-modulus	200000.0	materials_omega_E	scalar
bulk-modulus	-1/3(-1+2materials_omega_nu)^(-1)*materials_omega_E	materials_omega_K	scalar
density	7.87E-6	materials_omega_rho	scalar

Name

Expression

Symbol

Shape

Components

Lame-first-parameter

-(1+materials_omega_nu)^{(-1)materials_omega_E(-1+2*materials_omega_nu)}(-1)*materials_omega_nu

materials_omega_lambdaLame

scalar

Lame-second-parameter

1/2*materials_omega_E*(1+materials_omega_nu)^(-1)

materials_omega_muLame

scalar

Poisson-ratio

0.3

materials_omega_nu

scalar

Young-modulus

200000.0

materials_omega_E

scalar

bulk-modulus

-1/3*(-1+2*materials_omega_nu)^(-1)*materials_omega_E

materials_omega_K

scalar

density

7.87E-6

materials_omega_rho

scalar

5. Boundary Conditions

5.1. Displacement Imposed

5.1.1. fixed

method

elimination

expr

{0,0,0}

markers

fixed

5.2. Normal Stress

5.2.1. load

frame

lagrangian

expr

{amplitudo*sin(omega*t),0,0}

markers

load

6. Meshes

6.1. Mesh : solid

Discretization

/Mesh/solid

filename

/home/congo/feelppdb/toolboxes/solid/suspension/P2/np_1/solid.mesh.json

6.1.1. Import configuration

mesh-filename

/home/congo/feelppdb/toolboxes/solid/suspension/P2/downloads/solid/meshes/suspension.msh

generate-partitioning

1

number-of-partition

1

6.1.2. Discretization

dim

3

h_average

7.889597e+00

h_max

1.437040e+01

h_min

4.232083e+00

n_edges

46844

n_elements

32879

n_faces

71284

n_partition

1

n_points

8434

order

1

real_dim

3

shape

Simplex_3_1_3

7. Function Spaces

7.1. Displacement

mesh

/Mesh/solid

nSpace

1

7.1.1. Basis

is_continuous

1

nComponents

3

nComponents1

3

nComponents2

1

nLocalDof

10

name

lagrange

order

2

shape

vectorial

7.1.2. Dof Table

nDof

165834

8. Fields

8.1. displacement

base symbol

s

function space

/FunctionSpace/object-0

name

displacement

prefix symbol

solid

Name

Expression

Symbol

Shape

Components

eval of displacement

idv(.)

solid_s

vectorial [3]

Symbol	Indices
solid_s_0	0,0
solid_s_1	1,0
solid_s_2	2,0

norm2 of displacement

norm2(.)

solid_s_magnitude

scalar

grad of displacement

gradv(.)

solid_grad_s

tensor2 [3x3]

Symbol	Indices
solid_grad_s_00	0,0
solid_grad_s_01	0,1
solid_grad_s_02	0,2
solid_grad_s_10	1,0
solid_grad_s_11	1,1
solid_grad_s_12	1,2
solid_grad_s_20	2,0
solid_grad_s_21	2,1
solid_grad_s_22	2,2

normal derivative of displacement

dnv(.)

solid_dn_s

vectorial [3]

Symbol	Indices
solid_dn_s_0	0,0
solid_dn_s_1	1,0
solid_dn_s_2	2,0

curl of displacement

curlv(.)

solid_curl_s

vectorial [3]

Symbol	Indices
solid_curl_s_0	0,0
solid_curl_s_1	1,0
solid_curl_s_2	2,0

norm2 of curl of displacement

norm2(curlv(.))

solid_curl_s_magnitude

scalar

div of displacement

divv(.)

solid_div_s

scalar

8.2. velocity

base symbol

v

function space

/FunctionSpace/object-0

name

velocity

prefix symbol

solid

Name

Expression

Symbol

Shape

Components

eval of velocity

idv(.)

solid_v

vectorial [3]

Symbol	Indices
solid_v_0	0,0
solid_v_1	1,0
solid_v_2	2,0

norm2 of velocity

norm2(.)

solid_v_magnitude

scalar

grad of velocity

gradv(.)

solid_grad_v

tensor2 [3x3]

Symbol	Indices
solid_grad_v_00	0,0
solid_grad_v_01	0,1
solid_grad_v_02	0,2
solid_grad_v_10	1,0
solid_grad_v_11	1,1
solid_grad_v_12	1,2
solid_grad_v_20	2,0
solid_grad_v_21	2,1
solid_grad_v_22	2,2

normal derivative of velocity

dnv(.)

solid_dn_v

vectorial [3]

Symbol	Indices
solid_dn_v_0	0,0
solid_dn_v_1	1,0
solid_dn_v_2	2,0

curl of velocity

curlv(.)

solid_curl_v

vectorial [3]

Symbol	Indices
solid_curl_v_0	0,0
solid_curl_v_1	1,0
solid_curl_v_2	2,0

norm2 of curl of velocity

norm2(curlv(.))

solid_curl_v_magnitude

scalar

div of velocity

divv(.)

solid_div_v

scalar

9. Algebraic Solver

9.1. Backend

prefix

solid

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

500

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