Toward the ultimate conservative scheme: Following the quest

Journal of Computational Physics

Volumn 167, Issue 2, 2001, Pages 277-315

  Abgrall, R ^a  

^a UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

Compressible flow solvers; Fluctuation splitting schemes; Multidimensional up winding; Residual schemes; Unstructured meshes

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS;

COMPRESSIBLE FLOW SOLVER; CONSERVATIVE SCHEMES; FLOW SOLVER; FLUCTUATION SPLITTING; FLUCTUATION SPLITTING SCHEME; MULTIDIMENSIONAL UP-WINDING; NUMERICAL SCHEME; RESIDUAL SCHEME; TRIANGULAR FINITE ELEMENTS; UNSTRUCTURED MESHES;

BLENDING;

EID: 0000668444     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6672     Document Type: Article

References (16)

1. Abgrall R. On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. J. Comput. Phys. 114:1994;45.
2. Abgrall R., Barth T. J. Linearisation via the Entropy Variables: Application to Residual Distributive Schemes. 2000.
3. Abgrall R., Mer K. Un théorème de type Lax-Wendroff pour les schémas distributifs. 1998.
4. T. J. Barth, Some working notes on the N scheme, private communication, 1997.
5. Deconinck H., Roe P. L., Struijs R. A multidimensional generalization of Roe's difference splitter for the Euler equations. Comput. Fluids. 22:1993;215.
6. Deconinck H., Struijs R., Bourgeois G., Roe P. L. Compact advection schemes on unstructured meshes. 24th Computational Fluid Dynamics. 1993.
7. Dervieux A., van Leer B., Périaux J., Rizzi A. Numerical Simulation of Compressible Euler Flows. 26:1989.
8. Fezoui L., Stoufflet B. A class of implicit upwind schemes for Euler simulations with unstructured meshes. J. Comput. Phys. 84:1989;174.
9. Harten A. On the symmetric form of conservation laws with entropy. J. Comput. Phys. 49:1983;151.
10. Hussaini M. Y., van Leer B., Van Rosendal J. Upwind and High Resolution Schemes. 1997.
11. Lax P., Wendroff B. Systems of conservation laws. Comm. Pure Appl. Math. 13:1960;381.
12. Roe P. L., Sidilkover D. Optimum positive linear schemes for advection in two and three dimensions. SIAM J. Numer. Anal. 29:1992;1542.
13. Struijs R., Deconinck H., Roe P. L. Fluctuation splitting schemes for the 2D Euler equations. Computational Fluid Dynamics, 1991. 1991.
14. Tadmor E. The numerical viscosity of entropy stable schemes for systems of conservation laws. Math. Comput. 49:1987;91.
15. van der Weide E., Deconinck H. Positive matrix distribution schemes for hyperbolic systems. Computational Fluid Dynamics 1996. 1996;747-753.
16. Axelsson O. Iterative Solution Methods. 1996.