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Tuesday, May 19, 2020 | History

4 edition of Riemann problem and interaction of waves in gas dynamics found in the catalog.

Riemann problem and interaction of waves in gas dynamics

TК»ung Chang

Riemann problem and interaction of waves in gas dynamics

by TК»ung Chang

  • 174 Want to read
  • 27 Currently reading

Published by Longman Scientific & Technical, Wiley in Harlow, Essex, England, New York .
Written in English

    Subjects:
  • Shock waves,
  • Riemann-Hilbert problems,
  • Differential equations, Hyperbolic -- Numerical solutions

  • Edition Notes

    StatementTung Chang (Tong Zhang) & Ling Hsaio (Ling Xiao).
    SeriesPitman monographs and surveys in pure and applied mathematics,, 41
    ContributionsHsiao, Ling.
    Classifications
    LC ClassificationsQA927 .C43 1989
    The Physical Object
    Paginationix, 272 p. :
    Number of Pages272
    ID Numbers
    Open LibraryOL2396210M
    ISBN 100470210141
    LC Control Number87025953

    Wave interactions and stability of the Riemann solutions for the chromatography equations Article in Journal of Mathematical Analysis and Applications (2) May with 28 ReadsAuthor: Chun Shen. One phase Riemann problems and wave interactions in systems of conservation laws of mixed type. SIAM J. Math. Anal. 24 (), – zbMATH Google Scholar : Constantine M. Dafermos.

    Advances in Mathematical Physics / / Article. Article Sections to the -axis which causes the fact that the Riemann solutions are more complicated than that of the conventional gas dynamics. The generalized Riemann problem of the conventional gas dynamics is studied by many The Riemann Problem and Interaction of Waves in Gas Cited by: 1. PRINT_RP: Prints a summary of all the wave produced at for the specific Riemann problem to be solved. This is saved in the file "". The information includes the states between the three waves, the wave speeds, the wave types (shock, rarefaction fan, or contact) and a flag variable denoting the "significance" of the waves.

      The Riemann problem for two-dimensional gas dynamics with isentropic and polytropic gas is considered. The initial data is constant in each quadrant and chosen so that only a rarefaction wave, shock wave or slip line connects two neighboring constant initial states. With this restriction, the existence of sixteen (respectively, fifteen) genuinely different wave combinations for isentropic Cited by: the delta shock wave is emitted at the beginning with a nonzero initial data is considered. Section discusses the interactions of the delta shock waves and vacuum states. e Riemann solutions of (), are constructed globally. Finally, four kinds of numerical simulations coinciding with the theoreticalanalysis are presented in Section. 2.


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Riemann problem and interaction of waves in gas dynamics by TК»ung Chang Download PDF EPUB FB2

The initial-value problem constructed by Riemann () to describe the motion of an ideal gas in a shock tube is investigated analytically, with an emphasis on the mathematical aspects. Topics addressed include the simplest Riemann model and the interactions of elementary waves (shock waves, centered rarefaction waves, and contact discontinuities), one-dimensional isothermal flow, one.

Buy Riemann Problem and Interaction of Waves in Gas Dynamics (Pitman Monographs & Surveys in Pure & Applied Mathematics, 41) on FREE SHIPPING on qualified orders5/5(1). E-books. Browse e-books; Series Descriptions; Book Program; MARC Records; FAQ; Proceedings; For Authors. Journal Author Submissions; Book Author Submissions; The Riemann Problem and Interaction of Waves in Gas Dynamics (Tung Chang and Ling Hsiao) Related Databases.

Web of Science You must be logged in with an active subscription to view : W. Ames. The Two-Dimensional Riemann Problem in Gas Dynamics establishes the rigorous mathematical theory of delta-shocks and Mach reflection-like patterns for zero-pressure gas dynamics, clarifies the boundaries of interaction of elementary waves, demonstrates the interesting spatial interaction of slip lines, and proposes a series of open problems.

The Two-Dimensional Riemann Problem in Gas Dynamics establishes the rigorous mathematical theory of delta-shocks and Mach reflection-like patterns for zero-pressure gas dynamics, clarifies the boundaries of interaction of elementary waves, demonstrates the interesting spatial interaction of slip lines, and proposes a series of open by: Particular attention is given to the Riemann problem for a scalar conservation law, the interaction of a shock wave overtaking another in steady two-dimensional flow, and the diffraction of a planar shock along a compressive by:   The Riemann problem for two-dimensional gas dynamics with isentropic or polytropic gas is considered.

The initial data is constant in each quadrant and chosen so that only a rarefaction wave, shock wave, or slip line connects two neighboring constant initial by: The 1-D Riemann problem could be solved in terms of a succession of centered waves. In particular, the 1-D centered waves associated with gas dynamics equations consist of shock- rarefaction- and contact-waves, [7 –9].File Size: KB.

Euler Equations of Gas Dynamics Euler Equations of Gas Dynamics To simplify the mathematical description of the shock tube problem we con-sider an infinitely long tube (to avoid reflections at the tube ends) and neglect viscous effects in the flow.

We also suppose that the diaphragm is completely removed from the flow at t File Size: KB. Shock Waves in Gas Dynamics 61 Courant-Friedrichs™s book [19] gives the account of the e⁄orts on the equations by many of the leading mathematicians before A basic feature of hyperbolic systems of conservation laws is that there are rich phenomena of wave interactions involving shock waves and contact discontinuities.

Additional Physical Format: Online version: Zhang, Tong, Riemann problem and interaction of waves in gas dynamics. Harlow, Essex, England: Longman Scientific & Technical. Two—dimensional Riemann Problems in Gas Dynamics Jiequan Li School of Mathematical Sciences. Beijing Normal University.

Email: [email protected] Interaction of simple waves Two “old” books: • Li, Zhang and Yang, Longman () • Zheng, Birkhauser. In this paper, we consider the Riemann problem and wave interactions for a quasi-linear hyperbolic system of partial differential equations governing the one dimensional unsteady simple wave flow.

Bull. Amer. Math. Soc. (N.S.) Vol Number 1 (), Review: Tung Chang (Tong Zhang) and Ling Hsiao (Ling Xiao), The Riemann problem and interaction of waves in gas dynamics Cited by: 1.

The Riemann problem for one dimensional generalized Chaplygin gas dynamics is considered. Its two characteristic fields are genuinely nonlinear, but the nonclassical solutions appear.

The formation of mechanism for δ -shock is analyzed, that is the one-shock curve and the two-shock curve do not intersect each other in the phase by:   The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered.

By the properties of wave curves, we observe that this system does not contain the composite wave compared to the barotropic models of gas dynamics Author: Guodong Wang, Jia-Bao Liu, Lin Zhao. THE RIEMANN PROBLEM IN GAS DYNAMICS1 BY RANDOLPH G. SMITH Abstract. We consider the Riemann problem (R.P.) for the 3 X 3 system of gas dynamics equations in a single space variable.

We assume that the specific internal energy e = e(v, s) (s = specific entropy, v = specific. In this volume, the one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics are solved constructively.

In either the 1-D or 2-D case, there are only two kinds of solutions: one involves Dirac delta waves, and the other involves vacuums, which havea been merely discussed so far.

We are concerned with the Riemann problem for the two-dimensional compressible Euler equations in gas dynamics.

This paper is a continuation of our program (see [CY1,CY2]) in studying the interaction of nonlinear waves in the Riemann problem. The central point in this issue is the dynamical interaction of shock waves, centered rarefaction waves, and contact discontinuities that connect two Cited by: The Riemann problem is an initial problem with piecewise constant initial data.

Its exact solution represents the real physical characteristics of a flow with several families of waves and their propagation. When the wave is a shock, the equations for this initial problem cannot be explicitly solved and an iterative solution has to be used. Chang, T.

and Hsiao, L.: The Riemann Problem and Interaction of Waves in Gas Dynamics; Longman, UK, Essex, Google ScholarAuthor: C.-D. Munz, R. Schneider, O. Gerlinger.Partial Riemann problem, boundary conditions, and gas dynamics a mathematical point of view, the actual state of knowledge (see e.g.

Serre [Se96]) does not give any answer to the question of the existence of a solution (x,t) −→ W(x,t) when time t is no longer small enough, even if the initial.We are concerned with the Riemann problem for the two-dimensional compressible Euler equations in gas dynamics.

The central point at this issue is the dynamical interaction of shock waves, centered rarefaction waves, and contact discontinuities that connect two neighboring constant initial states in the quadrants.

The Riemann problem is classified into eighteen genuinely different by: