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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluids 2003; 43:729745 (DOI: 10.1002/ d.548)
 

Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Int. J. Numer. Meth. Fluids 2003; 43:729­745 (DOI: 10.1002/ d.548)
Transient ˙xed point-based 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 time-dependent 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 time-dependent 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 time-dependent 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; time-dependent simulation; CFD

  

Source: Alauzet, Frédéric - INRIA Paris-Rocquencourt
Frey, Pascal - Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, Paris 6

 

Collections: Computer Technologies and Information Sciences; Mathematics