Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Int. J. Numer. Meth. Fluids 2000; 00:16 Prepared using fldauth.cls [Version: 2002/09/18 v1.01]
On the use of anisotropic error estimators
for the adaptative solution of 3D inviscid compressible flows
Y. Bourgault1,, M. Picasso2, F. Alauzet3 and A. Loseille3
1 Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa
(Ont), Canada, K1N 6N5.
2 Institut d'Analyse et Calcul Scientifique, Ecole Polytechnique F´ed´erale de Lausanne, CH-1015 Lausanne,
3 INRIA, UR Rocquencourt, BP 105, F-78153 Le Chesnay Cedex.
This paper describes the use of an a posteriori error estimator to control anisotropic mesh adaptation
for computing inviscid compressible flows. The a posteriori error estimator and the coupling strategy
with an anisotropic remesher are first introduced. The mesh adaptation is controlled by a single
parameter TOL in regions where the solution is regular, while a condition on the minimal element
size hmin is enforced across solution discontinuities. This hmin condition is justified on the basis of an
asymptotic analysis. The efficiency of the approach is tested with a supersonic flow over an aircraft.
The evolution of a mesh adaptation/flow solution loop is shown, together with the influence of the
parameters TOL and hmin. We verify numerically that the effect of varying hmin is concordant with
the conclusions of the asymptotic analysis, giving hints on the selection of hmin with respect to TOL.