@article{M2AN_1999__33_6_1241_0, author = {Bastin, J\'er\^ome and Rog\'e, Gilbert}, title = {A Multidimensional fluctuation splitting scheme for the three dimensional Euler equations}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {33}, year = {1999}, pages = {1241-1259}, mrnumber = {1736898}, zbl = {0968.76034}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1999__33_6_1241_0} }
Bastin, Jérôme; Rogé, Gilbert. A Multidimensional fluctuation splitting scheme for the three dimensional Euler equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 1241-1259. http://gdmltest.u-ga.fr/item/M2AN_1999__33_6_1241_0/
[1] Généralisation du schéma d'Osher pour le calcul d'écoulements de mélanges de gaz à concentrations variables et de gaz réels. La Recherche Aérospatiale No. 4 (1989) 1-13. | MR 1040786 | Zbl 0688.76049
and ,[2] Résolution des équations d'Euler par des méthodes d'éléments finis, application aux écoulements 3D de Vaérodynamique Ph. D. thesis, Université Pierre et Marie Curie (1984).
,[3] Study of 3D hypersonic flow using unstructured grid solvers based on multidimensional upwinding. von Karman Institute for Fluid Dynamics report (1996).
, and ,[4] Characteristic decomposition methods for the multidimensional Euler equations. Lect Notes Phys. 264, Springer-Verlag (1986). | Zbl 0624.76088
, and ,[5] Multidimensional upwind schemes based on fluctuation splitting for Systems of conservation laws. J. Comput. Mech. 11 (1993) 323-340. | Zbl 0771.76048
, , and ,[6] A multidimensional generalization of Roe's flux difference splitter for the Euler equations J. Comput. and Fluids 22 (1993) 215-222. | MR 1231645 | Zbl 0790.76054
, and ,[7] Odyssée Version 1.6. The User's Reference Manual Rapport INRIA 0211 (1997).
and ,[8] Some recent developments in numerical methods for transonic flows. Comput. Methods Appl. Mech. Engrg. 51 (1985) 467-493, North Holland. | MR 822753 | Zbl 0608.76049
and ,[9] Multidimensional upwind residual distribution schemes for the Euler and Navier-Stokes equations on unstructured grids. Ph. D. thesis, Université Libre de Bruxelles (1995).
,[10] Upwind residual distribution methods for compressible flow an alternative to finite volume and finite element methods. von Karman Institute for Fluid Dynamics, presented at the 28th CFD Lecture Series (1997).
, and ,[11] Finite element Euler computations in three dimensions. Internat J. Numer. Methods Engrg. 26 (1988) 2135-2159. | Zbl 0665.76073
, , , and ,[12] Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics J. Comput. Phys. 63 (1986) 458-476. | MR 835826 | Zbl 0587.76126
,[13] Linear advection schemes on triangular meshes. Technical report, Cranfield Institute of Technology, CoA 8720 (1987).
[14] Cell-vertex methods for steady inviscid flow. VKI LS 1993-04, Computational Fluid Dynamics (1993).
,[15] GMRES: A generalized minimal residual algorithm for Solving Nonsymmetric Linear Systems. SIAM J. Sci. Statist. Comput. 7 (1986) 856-869. | MR 848568 | Zbl 0599.65018
and ,[16] A Multistage method for the solution of the Euler Equations on Unstructured Grids, in Proceedings of the fifth International Symposium on Numerical Methods in Engineering; Vol. 2, R. Gruber, J. Pénaux and R. P. Shaw Eds, Springer-Verlag, Berlin, Heidelberg (1989) 449-454.
,[17] Multidimensional upwinding and multigrid, in 12th AIAA CFD Conference, San Diego, Paper 95-1759 (1995).
,[18] Unification of some advection schemes in two dimensions. Technical Report 95-10, ICASE (1995).
and ,[19] Numerical solution to steady-state problems with discontinuities. Ph. D. thesis, The Weizmann Institute of science, Rehovot, Israel (1989).
,[20] Progress on multidimensional upwind Euler solvers for unstructured grids. AIAA-91-1550 (1991).
, , , and ,[21] Fluctuation Spitting Schemes for the 2D Euler Equations. VKI LS 1991-01, Computational Fluid Dynamics (1991).
, and ,[22] Characteristic Time-Stepping or Local Preconditionning of the Euler Equations, in AIAA l0th Computational Fluid Dynamics Conference (1991), AIAA-91-1552-CP.
, and ,