The Riemann problem in the quasi-one-dimensional approximation

被引：0

作者：

M. V. Abakumov

Yu. P. Popov

P. V. Rodionov

机构：

[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics

[2] Russian Academy of Sciences,Keldysh Institute of Applied Mathematics

来源：

Computational Mathematics and Mathematical Physics | 2015年 / 55卷

关键词：

Riemann problem; quasi-one-dimensional approximation; flow in channels of variable cross section; self-similar solution; computational gas dynamics;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The classical one-dimensional Riemann problem is generalized to the quasi-one-dimensional case. A plane slotted channel with a discontinuous cross section is considered. The resulting exact self-similar solution is compared with numerical results obtained for a system of quasi-onedimensional and two-dimensional equations. It is shown that they are in good qualitative agreement and, for certain parameters, also agree well quantitatively.

引用

页码：1356 / 1369

页数：13

共 6 条

[1]

Godunov S. K.(1959)A difference method for numerical calculation of discontinuous solutions of fluid dynamics equations Mat. Sb. 47 271-306

[2]

Godunov S. K.(1962)A computational scheme for two-dimensional non stationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state USSR Comput. Math. Math. Phys. 1 1187-1219

[3]

Zabrodin A. V.(1986)Characteristic-based schemes for the Euler equations Ann. Rev. Fluid Mech. 18 337-365

[4]

Prokopov G. P.(1988)On Godunov-type methods for gas dynamics SIAM J. Numer. Anal. 25 294-318

[5]

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[6]

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