Anisotropic Mesh Adaptation for CFD

Frédéric Alauzet
INRIA - Projet Gamma, Rocquencourt

Wednesday, September 22th, CERFACS Conference Room - 11h00


Abstract. 

This presentation discusses our last contributions regarding anisotropic mesh adaptation 
to steady and unsteady flow simulations on complex geometries. 
  First, it presents the multiscale mesh adaptation relying on an Lp-norm error estimate and 
an anisotropic goal-oriented mesh adaptation strategy for steady flows. The last approach 
provides optimal adapted meshes for functional outputs
   Second, their extensions to time dependent problems is described. It is based on a fixed-point 
algorithm for convergence and Linf criterion on sub-intervals to avoid adapting the mesh at each solver iteration. 
In each case, the error estimate controls the space-time error. 
   Finally, the extension to simulations with moving geometries is discussed. It notably shows 
how the mesh movement is taken into account in the error estimate formulation to remain optimal. 
   Several numerical examples will illustrate the efficiency of the proposed approaches.

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