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Current Activity


 
  Photo Thierry Coupez

Professor

Deputy Director of the CEMEF              

Head of CIM Research Group

Department of Computational Mechanics
CEMEF - MINES ParisTech
06904 Sophia-Antipolis -  France
tel. +33 (0)4 93 95 75 94
fax. +33 (0)4 92 38 97 52
office: E 216
email:

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Current Activity
- A posteriori error estimation
- Anisotropic adaptive mesh
- Mathematical Modeling of multiphase flows
- Stabilized FEM for Fluid-Structure Interaction
- Unstructured Mesh Application for CFD


Anisotropic mesh adaptation:  The developed approach is based on the definition of a metric field directly at the nodes of the mesh for a direct use in the meshing tools. First, the unit mesh metric is defined and well justified on a node basis, by using the statistical concept of length distribution tensors. Then, the interpolation error analysis is performed on the projected approximate scalar field along the edges. The error estimate is established on each edge whatever the dimension is. It enables to calculate a stretching factor providing a new edge length distribution, its associated tensor and the corresponding metric. The optimal stretching factor field is obtained by solving an optimization problem under the constraint of a fixed number of edges in the mesh.

mesh1

 

Dynamic parallel mesh adaptation procedure: . It is based on the definition of an anisotropic a posteriori error estimator, the search of the optimal mesh (metric) that minimizes the error estimator under the constraint of a given number of nodes and the use of the serial mesh generator (MTC) in a parallel context.


mesh2
 
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