Modélisation, analyse mathématique et simulations numériques de ...

tel-00656013, version 1 - 3 Jan 2012
Bibliographie
[1] Achdou,Y. and Pironneau, O., Domain Decomposition and wall laws, C. R. Acad.
Sci. Paris (1995)
[2] Achdou,Y. and Pironneau, O. and Valentin, F., Analysis of the First and Second
Order Wall Laws for Rough Domains by Domain Decomposition, Technical report,
INRIA (1998)
[3] Achdou, Y. and Le Tallec, P. and Valentin, F. and Pironneau, O., Constructing
wall laws with domain decomposition or asymptotic expansion techniques, Comput.
Methods Appl. Mech. Eng. (1998)
[4] Achdou, Y. and Pironneau, O. and Valentin, F., Effective boundary conditions for
laminar flows over periodic rough boundaries, J. Comput. Phys. (1998)
[5] Allaire, G., Homogenization of the Navier-Stokes equations in open sets perforated
with tiny holes, Arch. Rational Mech. Anal. (1991)
[6] Amirat, Y. and Simon, J., Influence of rugosity in laminar hydrodynamics, C.R. Acad.
Sci. Paris (1996)
[7] Aoki, T., Inamuro, T. and Onishi, Y., Slightly rarefied gas flow over a body with small
accomodation coefficient, J. Phys. Soc. Japan. (1979).
[8] Aregba-Driollet D. and Natalini, R., Convergence of relaxation schemes for conservation
laws, Appl. Anal. 1-2 (1996), pp. 163–193.
[9] Audusse, E., Modélisation hyperbolique et analyse numérique pour les écoulements
en eaux peu profondes, PhD Thesis, Université Paris VI (2004)
[10] Audusse, E., Bouchut F., Bristeau, M.-O., Klein R. and Perthame, B., A fast and
stable well-balanced scheme with hydrostatic reconstruction for shallow water flows,
SIAM J. Sc. Comp. (2004)
[11] Audusse, E. and Bristeau, M.-O., A 2d well-balanced positivity preserving second
order scheme for Shallow Water Flows on unstructured meshes, J. of Comp. Phys.
(2005)
171