 
Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Int. J. Numer. Meth. Fluids 2003; 43:729745 (DOI: 10.1002/ d.548)
Transient ˙xed pointbased unstructured mesh adaptation
F. Alauzet1;;;
, P. L. George1
, B. Mohammadi2;§
, P. Frey1
and H. Borouchaki1
1 INRIA; Gamma; Domaine de Voluceau; Rocquencourt B.P.105; Le Chesnay 78153; France
2 UniversitĂe de Montpellier II; Math CC51; Montpellier 34090; France
SUMMARY
This paper deals with adaptive simulation of timedependent problems. Mesh adaptation for unsteady
con˙gurations is especially important as the phenomenon evolves in the whole computational domain
and, in order to capture such a phenomenon accurately on adapted meshes, one has to predict the
evolution path. Here, we propose a new adaptive algorithm for timedependent simulation; the idea is
to solve a transient ˙xed problem by introducing a new loop in the adaptation scheme. The metric used
for 3D simulations is constructed with an a posteriori error estimate based on a discrete approximation
of the Hessian of the solution. For timedependent simulation, a metric intersection in time is introduced
to re˙ne all the areas where the phenomena evolve. Copyright ? 2003 John Wiley & Sons, Ltd.
KEY WORDS: unstructured mesh generation; mesh adaptation; metric; timedependent simulation; CFD
