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Arbitrary Lagrangian-Euler (ALE) Formulation

Arbitrary Lagrangian-Euler (ALE) Formulation

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Arbitrary Lagrangian-Euler (ALE) Formulation

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Description

ALE Starter section contains a description of the keywords used in ALE applications.

Usual RADIOSS keywords will act on material at related grid points. All the parameters starting with /ALE will directly act on the grid points.

To activate ALE formulation with a given material law, add:

/ALE/MAT

 

ALE formulation requires defining a grid formulation:

/ALE//GRID/DONEA
/ALE/GRID/DISP
/ALE/GRID/SPRING
/ALE/GRID/STANDARD (recommended)
/ALE/GRID/ZERO

 

The Eulerian formulation can be defined in two ways. In this case, grid points remain fixed.

/ALE/MAT + /ALE/GRID/ZERO
or /EULER/MAT

 

A modeling problem is well posed with boundary conditions on both material and grid velocities:

/BCS (constraining material velocity on nodes)
/ALE/BCS (constraining grid velocity on nodes)
/EBCS (constraining elementary state)

It is also possible to define Lagrangian nodes within an ALE part by using /ALE/BCS or merging a Lagrangian element.

Define links on grid velocities with:

/ALE/LINK/VEL

This is often used in FSI modeling to window a moving free structure with an ALE grid. For example in ditching, a limited ALE domain can be linked to free interfaced structure. The advantage is that the water and air inlets are constant, since it is initial state with no material velocity.

 

To define inlet/outlet:

/MAT/LAW51 (see elementary formulations when using multi-material LAW51)
/MAT/LAW37 (see elementary formulation when using multi-material LAW37)
/MAT/LAW11 (general case, except if using LAW37 or LAW51)
/EBCS

 

The initial velocity for material located at grid point is defined with:

/INIVEL

 

The specific ALE interfaces are:

/INTER/TYPE1 (Ale nodes on a Lagrangian surface)
/INTER/TYPE9 (interfacing a Lagrangian surface with a given ALE free surface)
/INTER/TYPE12 (enables the transmission of flow between 2 ALE surfaces (master and slave side))
/INTER/TYPE18 (coupling with Lagrange structure)

 

There are six material laws only compatible with ALE or EULER formulation:

Multi-material laws

/MAT/LAW37 (bi-material liquid gas)
/MAT/LAW20 (general 2D bi-material law)
/MAT/LAW51 (general 3D multi-material law)

Multi-Phase material law

/MAT/LAW26 (SESAME-Johnson-Cook material)

Boundary material law

/MAT/LAW11 (Inlet/Outlet material)

Thermal law

/MAT/LAW18 (Thermal material)

Besides the above ALE materials, the following material laws can be used in ALE/EULER analysis: LAW2, LAW3, LAW4, LAW5, LAW6, LAW10, LAW11, LAW16, LAW21, LAW37, LAW41, LAW46, LAW49, LAW51, LAW75 and LAW80.

The initial volumetric fractions of LAW51 sub-materials can also be defined with:

/INIVOL

 

Specific rigid wall for ALE is:

/RWALL/THERM

 

Upwind coefficients are defined with the following card. They can also be updated in the Engine file with the same keyword:

/UPWIND

 

Streamline upwind method for momentum advection can only be activated in Engine file with:

/UPWM/SUPG

This method adds diffusion on the streamline direction instead of neighbor directions. It provides more accurate results when modeling phenomena is not consistent with the structure of the mesh. For example, a spherical blast wave evolving inside a parralelepipedic domain with a structured mesh.

 

Finite Volume formulation for internal force calculation can be activated with:

/CAA

It provides more accurate results for non parallelepipedic shapes. See default formulation for under-integrated formulation in Theory Manual 5.1.4.1 “Reduced Integration Method”.

For detonics applications, the following keywords are available:

High Explosive material laws:

/MAT/LAW5 (JWL)
/MAT/LAW51 (MULTIMAT)
/MAT/LAW41 (Lee-Tarver)

High Explosive Ignitions:

/DFS/DETLINE (detonation line)
/DFS/DETPLAN (planar wave)
/DFS/DETPOIN (detonation point)
/DFS/WAV_SHA (wave shaper)

 

For laser matter interaction, the following keywords are available:

/DFS/LASER (LASER beam)
/MAT/LAW26 (SESAME-Johnson-Cook material - only compatible material)