Method of quasi-gasdynamic splitting for solving the euler equations

Computational Mathematics and Mathematical Physics

Volumn 41, Issue 10, 2001, Pages 1506-1518

  Graur, I A ^a  

^a INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013261209     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Volchinskaya, M.I., Pavlov, A.N., and Chetverushkin, B.N., An Integration Scheme for Gas-Dynamics Equations, Preprint of Inst. Appl. Math., Acad. Sei. USSR, Moscow, 1983, no. 113.
2. Elizarova, T.G. and Chetverushkin, B.N., Applications of Kinetic Models in Flow Computations in Gas Dynamics, Mateinaticheskoe modelirovanie: Protsessy v neliiieinykh sredakh (Mathematical Modeling: Processes in Nonlinear Media), Samarskii, A.A., Kurdyumov, S.P., and Galaktionov, V.A., Eds., Moscow: Nauka. I 9X6, pp. 261-278.
3. Sheretov, Yu.V., Quasi-Hydrodynamic Equations as a Model of Compressible Viscous Heat-Conducting Flows, Primeneniefwiktsional'nogo analiza v teorii priblizlienii (Application of Functional Analysis in Approximation ' Theory), Tver': Tver. Cos. Univ., 1997, pp. 127-155.
4. Elizarova, T.G. and Sheretov, Yu.V., Theoretical and Numerical Analysis of Quasi-Gasdynamic and Quasi-Hydrodynamic Equations, Z/i. Vychisl. Mat. Mat. Fit., 2001, vol. 41, no. 2, pp. 239-255.
5. Steger, J.L. and Warming, R.F., Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods, J. Compitt. Phys., 1981, vol. 40, pp. 263-293.
6. Van Leer, B., Flux-Vector Splitting for the Euler Equations, Lect. Notes Phys., 1982, vol. 170, pp. 507-512.
7. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Schemes), Moscow: Nauka, 1983.
8. Anderson, D.A., Tannchill, J.C., and Plelcher, R.H., Computational Fluid Mechanics and Heat Transfer, New York: Hemisphere, 1984. Translated under the title Vychislitel'nava gidromekhanika i teploobincn, Moscow: Mir, 1990, vol. 2.
9. Abalakin, I.V., Zhokhova, A.V., and Chetverushkin, B.N., Finite-Difference Schemes Based on a Kinetic Splitting of the Flux Vector, Mat. Modelirovanie, 2000, vol. 12, no. 4, pp. 73-82.
10. Deshpande, S.M., Kinetic Theory Based New Method for Inviscid Compressible Flows, AIAA Pap., no. 86-0275.
11. Elizarova, T.G., Graur, I.A., Lengrand, J.C., and Chpoun, A., Rarefied Gas Flow Simulation Based on Quasi GasDynamic Equations, AIAA J., 1995, vol. 33, no. 12, pp. 2316-2324.
12. Graur, I.A., Algorithms for Numerical Solution of Quasi-Gasdynamic Equations, Z/i. \\chisl. Mat. Mat. Fiz., 1999, vol. 39, no. 8, pp. 1356-1371.
13. Bochorishvili, R.D., Elizarova, T.G., and Skhirtladze, N.M., Splitting Method for Kinetically Consistent FiniteDifference Schemes, Preprint oflnst. Appl. Math., Acad. Set. USSR, Moscow, 1988, no. 108.
14. Sod, G., A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws. J. Cowpiit. Phys., 1978, vol. 27, pp. 1-31.
15. Woodward, P. and Colella, P., The Numerical Simulation of Two-Dimensional Fluid Flow with Strong Shock. J. Cowpnt. Phys., 1984, vol. 54, pp. 115-173.