766 articles – 1380 references  [version française]
HAL: hal-00653248, version 1

See detailed view  BibTeX,EndNote,...
ICIAM 2011, Vancouver : Canada (2011)
Unstructured Anisotropic Mesh Adaptation using Level Sets and Penalization Techniques
Remi Abgrall 1, 2, Héloïse Beaugendre 1, 2, 3, Cecile Dobrzynski 1, 2
(2011-07)

Penalization methods are an efficient alternative to explicitly impose boundary conditions but their accuracy is generally of first order. In this work we propose to combine the easiness of penalization techniques with the precision of unstructured anisotropic mesh adaptation. Level sets are used to describe the geometry so that geometrical and topological changes due to physics are straight forward to follow. Navier-Stokes simulations are performed and a new way to impose a slipping wall boundary condition is proposed.
1:  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2:  BACCHUS (INRIA Bordeaux - Sud-Ouest)
INRIA – Université de Bordeaux – CNRS : UMR5800
3:  MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
Computer Science/Modeling and Simulation
Penalization – unstructured grids – Mesh adaptation – Level-Sets