The Godunov Schemes
In one of his earliest papers concerned with numerical schemes for solving equations of Gas Dynamics Godunov (1959) seeks an alternative to the Method of Characteristics. He proposes three main requirements for such schemes. Firstly, they should retain the simplicity of Characteristics Methods while overcoming the inconveniences introduced by shearing and distortion of characteristics networks. Secondly, they should be able to include consideration of surfaces of discontinuity such as shock waves and fluid interfaces. Thirdly, when applied to linearized equations they should predict a solution for physical variables which is in qualitative agreement with analytical solutions.
KeywordsEntropy Propa Suffix
Unable to display preview. Download preview PDF.
- Alalykin, G. B., Godunov, S. K., Kireeva, I. L., Pliner, L. H.: Solutions of One Dimensional Problems in Gas Dynamics in Moving Networks. Moscow: NAUKA 1970.Google Scholar
- Godunov, S. K., Ryabenkii, V. W.: The Theory of Difference Schemes. New York: Wiley 1964.Google Scholar
- Masson, B. S., Taylor, T. D.: Polish Fluid Dynamic Transactions 5 (1971).Google Scholar
- Moretti, G.: AIAA J, 5 (1967).Google Scholar
- Rozhdestvenskii, B. L., Yanenko, N. N.: Theory of Quasilinear Hyperbolic Partial Differential Equations. Moscow: NAUKA 1970.Google Scholar
- Taylor, T. D., Masson, B. S.: J. Comp. Phys. 5 (1970).Google Scholar
- Taylor, T. D.: AGARDograph No. 187, 1974.Google Scholar
- Vasiliev, O. F.: Lecture Notes in Physics No. 8 (Ed. M. Holt), p. 410. Berlin-Heidelberg-New York: Springer 1971.Google Scholar
- Whitham, G. B.: Linear and Non-linear Waves. New York: Wiley 1974.Google Scholar
- Wigton, L.: Term paper, Course ME 266, University of California, Berkeley, 1978.Google Scholar