Application of adaptive grids in numerical analysis of time-dependent problems in gas dynamics

Computational Mathematics and Mathematical Physics

Volumn 40, Issue 9, 2000, Pages 1330-1349

  Azarenok, B N ^a   Ivanenko, S A ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008983727     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

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2. Handbook of Grid Generation, Thompson, J.F., Soni, B.K., and Weatherill, N.P., Eds., Boca Raton, Fl.: CRC, 1999.
3. Dar'in, N.A. and Mazhukin, V.I., On One Approach in Adaptive Grid Generation for Time-Dependent Problems, Zh. Vychisl. Mat. Mat. Fiz., 1988, vol. 28, no. 3, pp. 454-460.
4. Degtyarev, L.M. and Ivanova, T.S., Method of Adaptive Grids in One-Dimensional Time-Dependent Convection-Diffusion Problems, Differ. Uravn., 1993, vol. 29, no. 7, pp. 1179-1192.
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8. Azarenok, B.N., Ob odnoi realizatsii skhemy S.K. Godunova vysokogo poryadka approksimatsii (On One Implementation of the High-Order Accurate Godunov Scheme), Moscow: Vychisl. Tsentr Ross. Akad. Nauk, 1997.
9. Godunov, S.K., Zabrodin, A.V., Ivanov, M.Ya., et al., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki (Numerical Solution of Multidimensional Problems in Gas Dynamics), Moscow: Nauka, 1976.
10. Rodionov, A.V., Second-Order Accurate Monotone Scheme for Shock-Capturing Computations of Nonequilibrium Flows, Zh. Vychisl. Mat. Mat. Fiz., 1987, vol. 27, no. 4, pp. 585-593.
11. Kolgan, V.P., Application of the Minimum-Derivative Principle in the Construction of Finite-Difference Schemes for Numerical Analysis of Discontinuous Solutions in Gas Dynamics, Uch. Zap. TsAGl, 1972, vol. 3, no. 6, pp. 68-77.
12. Colella, P. and Woodward, P.R., The Piecewise Parabolic Method (PMM) for Gas-Gynamical Simulations, J. Comput. Phys., 1984, vol. 54, no. 1, pp. 174-201.
13. Ivanenko, S.A. and Charakhch'yan, A.A., Curvilinear Grids of Convex Quadrilaterals, Zh. Vychisl. Mat. Mat. Fiz., 1988, vol. 28, no. 4, pp. 503-514.
14. Colella, P. and Woodward, P.R., The Numerical Simulation of Two-Dimensional Fluid Flow with Strong Shocks, J. Comput. Phys., 1984, vol. 54, no. 1, pp. 115-173.
15. Woodward, P.R. and Colella, P., in Lecture Notes in Physics, vol. 141, New York: Springer, 1984.