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+:sectnums:
+= Toolbox : solid
+== Environment
+
+[cols="2"]
+|===
+<|prefix
+<|solid
+
+<|keyword
+<|solid
+
+<|root repository
+<|/home/congo/feelppdb/toolboxes/solid/suspension/P2/np_1
+
+<|number of processus
+<|1
+|===
+
+== Physics
+=== solid
+==== solid
+
+[cols="2"]
+|===
+<|modeling
+<|solid
+
+<|type
+<|solid
+
+<|name
+<|solid
+|===
+
+
+[cols="2"]
+|===
+<|Equation
+<|Hyper-Elasticity
+|===
+
+
+
+
+== Physics2
+
+[cols="2"]
+|===
+<|time mode
+<|Transient
+|===
+
+== Materials Properties
+
+[cols="2"]
+|===
+<|number of materials
+<|1
+|===
+
+=== Material : omega
+
+[cols="5",options="header"]
+|===
+<|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
+<|
+|===
+
+
+== Boundary Conditions
+=== Displacement Imposed
+==== fixed
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|{0,0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!fixed
+!===
+
+|===
+
+
+=== Normal Stress
+==== load
+
+[cols="2"]
+|===
+<|frame
+<|lagrangian
+
+<|expr
+<|{amplitudo*sin(omega*t),0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!load
+!===
+
+|===
+
+
+
+== Meshes
+=== Mesh : solid
+
+[cols="2"]
+|===
+<|Discretization
+<|/Mesh/solid
+
+<|filename
+<|/home/congo/feelppdb/toolboxes/solid/suspension/P2/np_1/solid.mesh.json
+|===
+
+==== Import configuration
+
+[cols="2"]
+|===
+<|mesh-filename
+<|/home/congo/feelppdb/toolboxes/solid/suspension/P2/downloads/solid/meshes/suspension.msh
+
+<|generate-partitioning
+<|1
+
+<|number-of-partition
+<|1
+|===
+
+==== Discretization
+
+[cols="2"]
+|===
+<|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
+|===
+
+
+
+
+== Function Spaces
+=== Displacement
+
+[cols="2"]
+|===
+<|mesh
+<|/Mesh/solid
+
+<|nSpace
+<|1
+|===
+
+==== Basis
+
+[cols="2"]
+|===
+<|is_continuous
+<|1
+
+<|nComponents
+<|3
+
+<|nComponents1
+<|3
+
+<|nComponents2
+<|1
+
+<|nLocalDof
+<|10
+
+<|name
+<|lagrange
+
+<|order
+<|2
+
+<|shape
+<|vectorial
+|===
+
+==== Dof Table
+
+[cols="2"]
+|===
+<|nDof
+<|165834
+|===
+
+
+
+
+== Fields
+=== displacement
+
+[cols="2"]
+|===
+<|base symbol
+<|s
+
+<|function space
+<|/FunctionSpace/object-0
+
+<|name
+<|displacement
+
+<|prefix symbol
+<|solid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of displacement
+<|idv(.)
+<|solid_s
+<|vectorial [3]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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
+<|
+|===
+
+
+=== velocity
+
+[cols="2"]
+|===
+<|base symbol
+<|v
+
+<|function space
+<|/FunctionSpace/object-0
+
+<|name
+<|velocity
+
+<|prefix symbol
+<|solid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of velocity
+<|idv(.)
+<|solid_v
+<|vectorial [3]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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]
+<a|
+[cols="2",options="header"]
+!===
+<!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
+<|
+|===
+
+
+
+== Algebraic Solver
+=== Backend
+
+[cols="2"]
+|===
+<|prefix
+<|solid
+
+<|type
+<|petsc
+|===
+
+=== KSP
+
+[cols="2"]
+|===
+<|atol
+<|1.000000e-50
+
+<|dtol
+<|1.000000e+05
+
+<|maxit
+<|1000
+
+<|reuse-prec
+<|0
+
+<|rtol
+<|1.000000e-08
+
+<|type
+<|gmres
+|===
+
+=== SNES
+
+[cols="2"]
+|===
+<|atol
+<|1.000000e-50
+
+<|maxit
+<|500
+
+<|reuse-jac
+<|0
+
+<|rtol
+<|1.000000e-08
+
+<|stol
+<|1.000000e-08
+|===
+
+=== KSP in SNES
+
+[cols="2"]
+|===
+<|maxit
+<|1000
+
+<|reuse-prec
+<|0
+
+<|rtol
+<|1.000000e-05
+|===
+
+=== PC
+
+[cols="2"]
+|===
+<|type
+<|gamg
+|===
+
+
+
+