An entropy fix for multi-dimensional upwind residual distribution schemes

Computers and Fluids

Volumn 34, Issue 4-5 SPEC.ISS., 2005, Pages 617-640

  Sermeus, K ^a   Deconinck, H ^a  

^a VON KARMAN INSTITUTE FOR FLUID DYNAMICS   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE VOLUME METHOD; STEADY FLOW; SUPERSONIC FLOW; THERMODYNAMIC PROPERTIES;

EULER FLOW; FLUX DIFFERENCE; RESIDUAL DISTRIBUTION;

ENTROPY;

MATHEMATICAL METHOD;

EID: 11144273167     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.09.006     Document Type: Article

References (15)

1. Roe P.L. Approximate Riemann solvers, parameter vectors and difference schemes J. Comput. Phys. 43 1981 357-372
2. Roe P.L. Fluctuations and signals--a framework for numerical evolution problems Numerical Methods for Fluid Dynamics II 1982 Academic Press
3. Rice J. Schnipke R. A monotone streamline upwind method for convection-dominated problems Comput. Meth. Appl. Mech. Eng. 48 1985 313-327
4. Harten A. Hyman J.M. Self-adjusting grid methods for one-dimensional hyperbolic conservation laws J. Comput. Phys. 50 1983 235-269
5. van Leer B, Lee W-T, Powell KG. Sonic-point capturing. AIAA Paper 89-1945-CP, 1989
6. Deconinck H. Roe P.L. Struijs R. A multi-dimensional generalization of Roe's flux difference splitter for the Euler equations Comput. Fluids 22 1993 215-222
7. Deconinck H, Sermeus K, Abgrall R. Status of multi-dimensional upwind residual distribution schemes and applications in aeronautics. AIAA Paper 2000-2328, 2000
8. Paillère H. Multi-dimensional upwind residual distribution schemes for the Euler and Navier-Stokes equations on unstructured grids. PhD Thesis, Université Libre de Bruxelles, Belgium, 1995
9. van der Weide E, Deconinck H. Positive matrix distribution schemes for hyperbolic systems, with application to the Euler equations. In: Proceedings of the 3rd European CFD Conference. Paris, France: Wiley; 1996. p. 747-53
10. van der Weide E. Deconinck H. Issman E. Degrez G. A parallel, implicit, multi-dimensional upwind residual distribution method for the Navier-Stokes equations on unstructured grids Comput. Mech. 23 2 1999 199-208
11. Abgrall R. Toward the ultimate conservative scheme: Following the quest J. Comput. Phys. 167 2001 277-315
12. Sidilkover D. A genuinely multi-dimensional upwind scheme and efficient multigrid solver for the compressible Euler equations. ICASE Report 94-84, 1994
13. Lax P.D. Hyperbolic systems of conservation laws and the mathematical theory of shock waves 1973 SIAM Publications
14. Müller J-D. On triangles and flow. PhD Thesis, University of Michigan, USA, 1996
15. Woodward P. Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks J. Comput. Phys. 54 1984 115-173