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Thursday, April 23, 2020 | History

2 edition of iemann problem and interactions of waves in gas dynamics found in the catalog.

iemann problem and interactions of waves in gas dynamics

Tung Chang

iemann problem and interactions of waves in gas dynamics

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  • 10 Currently reading

Published by Longman Scientific & Technical in Harlow .
Written in English

    Subjects:
  • Shock waves.

  • Edition Notes

    Bibliography, p261-266. - Includes index.

    StatementTung Chang (Tong Zhang) & Ling Hsiao (Ling Xiao).
    SeriesPitman monographsand surveys in pure and applied mathematics -- 41
    ContributionsHsiao, Ling.
    Classifications
    LC ClassificationsQC157
    The Physical Object
    Paginationix,272p. :
    Number of Pages272
    ID Numbers
    Open LibraryOL21543735M
    ISBN 10058201378X

      Interaction of a C^1 Wave with Elementary Waves of the Riemann Problem for Euler Equations of Gas Dynamics. Speaker: V.D. Sharma, IIT Bombay Location: Warren Weaver Hall Date: Tuesday, , p.m. Hamiltonian and Lagrangian perturbation theory is used to describe linear wave propagation in inhomogeneous media. In particular, the problems of wave propagation on an inhomogeneous string, and the propagation of sound waves and entropy waves in gas dynamics in one Cartesian space dimension are by: 1. Refraction of dispersive shock waves Item Preview We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave often referred to as the shock wave refraction. description of the DSW refraction by constructing appropriate exact solutions of. 2 days ago  Comparison of Macro- and Microscopic Solutions of the Riemann Problem II. Two-Phase Shock Tube Timon Hitz a, Steven J ons, Matthias Heinen b, Jadran Vrabec, Claus-Dieter Munza aInstitute of Aerodynamics and Gas Dynamics, University of Stuttgart, Stuttgart, Germany bThermodynamics and Process Engineering, Technical University of Berlin, Berlin, Germany.


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iemann problem and interactions of waves in gas dynamics by Tung Chang Download PDF EPUB FB2

Riemann Problem and Interaction of Waves in Gas Dynamics (Pitman Monographs & Surveys in Pure & Applied Mathematics, 41) Hardcover – Janu by T.

Chang (Author), L. Hsiao (Author)5/5(1). Particular attention is given to the Riemann problem for a iemann problem and interactions of waves in gas dynamics book 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 corner.

92 refs. The Two-Dimensional Riemann Problem in Gas Dynamics establishes the rigorous mathematical theory of delta-shocks and Mach reflection-like patterns for iemann problem and interactions of waves in gas dynamics book 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: 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 iemann problem and interactions of waves in gas dynamics book problems.

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: 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.

The Riemann problem of the conventional gas dynamics were studied by lots of people (,, etc.). While the results of magnetogasdynamics flow are less than the conventional gas dynamics since the governing equations are highly nonlinear and complex even though the flow is by: Euler Equations iemann problem and interactions of waves in gas dynamics book Gas Dynamics called invariants,3 are transported along particular curves in the plane (x,t), called a numerical point of view, this suggests a simple way to calculate the solution in any point P(x,t) by gathering all the in- formation transported through the characteristics starting from P and going back to regions where the solution is already File Size: KB.

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. The Riemann problem for two-dimensional gas dynamics with isentropic and poly-tropic gas is considered.

The initial data is constant in each quadrant and chosen so that only a rarefaction or shock wave connects two neighboring constant initial states.

With this restriction the existence of five ( by: 2. In this paper, we consider the Riemann problem for the Euler equations modeling isentropic compressible fluids () { ρ 0, 0, where the unknown variable denotes the density of the mass, the velocity.

The system () with the equation of state () is called the generalized Chaplygin gas by: SIAM Journal on Scientific Computing() Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system. () Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem by: 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.

A basic feature of hyperbolic systems of conservation laws is that there are rich phenomena of wave interactions involving shock waves and contact discontinuities.

For example, in gas dynamics, pressure waves are shocks, whereas entropy waves and shear waves are contact discontinuities. Additional Physical Format: Online version: Zhang, Tong, Riemann problem and interaction of waves in gas dynamics.

Harlow, Essex, England: Longman Scientific & Technical. 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. Elementary waves. It may be noted that Conn et al.

[4] considered the system of PDEs (5) subject to the Riemann data (9) and derived the corresponding Riemann solution. However, we emphasize.

dynamics of bubbles in nuclear °ows to hypervelocity impact or shock wave interaction with densities and material discontinuities: Richtmeyer{Meshkov instabilities, bubble deformation and collapse, gas mixing for combustion, etc. We study the interactions of delta shock waves and vacuum states for the system of conservation laws of mass, momentum, and energy in zero-pressure gas dynamics.

The Riemann problems with initial data of three piecewise constant states are solved case by case, and four different configurations of Riemann solutions are by: 1. Wave Processes at Gas-Gas Interfaces Sigrid Andreae, Josef Ballmann, and Siegfried Muller¨ Abstract.

We investigate the interaction of shock waves in a heavy gas with embedded light gas bubbles next to a rigid wall. Due to the highly dynamical, unsteady processes under considera-tion we use an adaptive FV scheme for the computations to resolve.

In this paper, we study the Riemann problem for a simplified model of one dimensional ideal gas in magnetogasdynamics. By using the characteristic analysis method, we prove the global existence of solutions to the Riemann problem constructively under the Lax entropy by: 7.

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 with different pressure laws.

Under some initial value data, the Riemann solution is : Guodong Wang, Jia-Bao Liu, Lin Zhao. 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.

The Riemann problem is very useful for the understanding of equations like Euler conservation equations because all properties, such as shocks and rarefaction waves, appear as characteristics in the solution.

It also gives an exact solution to some complex nonlinear equations, such as the Euler equations. 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. We analyze rarefaction wave interactions of self-similar transonic irrotational flow in gas dynamics for two dimensional Riemann problems.

We establish the existence result of the supersonic solution to the prototype nonlinear wave system for the sectorial Riemann data, and study the formation of the sonic boundary and the transonic : Eun Heui Kim, Charis Tsikkou. 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.

This text deals with the two-dimensional Riemann problem for Euler equations in gas dynamics and its mathematical simplification. For Euler equations it is classified into 18 cases according to the different combinations of four elementary plane waves emanated by initial discontinuities.

Shock reflection in gas dynamics Denis Serre displays a self-similar pattern that may be viewed as a two-dimensional Riemann problem. Most of mathematical problems remain open. Regular Reflection is the simplest situation at each of these points one observes an interaction between the Mach shock and a wave Cited by: The entropy weak solution of the isentropic gas dynamics system has the important background of physics and mechanics, and the study on the interaction of nonlinear elementary wave not only had direct mechanics significance, but also was an effective method to clarify the structure of the weak solution.

We explored the overtaking problem of the centred rarefaction wave and the shock wave for Author: Tao Pan. Continuum Shock Wave Structure Condensation Discontinuities Unsteady 1D Flows: Finite Amplitude Waves, Characteristics, Riemann Invariants: 9: Piston Problems, Boundary Interactions, Shock Tubes: Steady 2D Supersonic Flows: Mach Waves, Prandtl-Meyer Function, Expansion Fans: Term Paper Presentations.

• acoustic wave in far field Rarefaction (expansion) wave • lowers density, temperature, and pressure of air continuously and significantly • interactions with bow shock weaken bow shock Momentum boundary layer • occurs in thin layer near surface where velocity relaxes from freestream to zero to satisfy the no-slip.

pairwise interactions in isentropic gas dynamics. Our analysis includes rarefactions, compressions and shock waves.

Because the waves are ar-bitrarily large, we describe the change of states across the wave ex-actly, without resolving the characteristic patterns. We similarly de-scribe the states between nonlinear waves in any pairwise interaction. We investigate the elementary wave interactions for the simplified combustion model in magnetogasdynamics.

Under the modified entropy conditions, we construct the unique solution and observe some interesting phenomena; such as, the combustion wave may be extinguished by the contact discontinuity or the shock wave. Especially, the transition between the detonation wave and the deflagration wave Author: Yujin Liu, Wenhua Sun.

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.

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: T.

Chang and L. Hsiao, The Riemann Problem and Interaction of Waves in Gas Dynamics, Pitman Monographs Vol. 41 (Longman Scientific and Technical, Essex, ). Google Scholar; 2. Cong, G. Lai, and W. Sheng, “ Riemann problem of a Chapman-Jouguet combustion model for pressure-gradient system,” J.

Shanghai Univ. 14(3), – ().Author: Yujin Liu, Wancheng Sheng. The Riemann problem for the transportation equations in gas dynamics Memoirs of the American Mathematical Society Publication Year VolumeNumber ISBNs: (print); (online) II.

1-D Riemann problem for the transportation equations in gas dynamics III. 2-D Riemann problem for the Cited by:. Riemann invariants are mathematical pdf made on pdf system of conservation equations to make them more easily solvable.

Riemann invariants are constant along the characteristic curves of the partial differential equations where they obtain the name were first obtained by Bernhard Riemann in his work on plane waves in gas dynamics.PRINT_RP: Prints download pdf summary of all the wave produced for the specific Riemann problem to be solved.

This is saved in the file "". The information includes the states between the two waves, the wave speeds, the wave types (shock, or rarefaction fan) and a flag variable denoting the "significance" of the waves a boolean variable.

We ebook the Ebook problem for one-dimensional Temple class, obtain the Riemann solutions containing delta-shock wave, and discover that each variable of this system contains the Dirac delta function in different region.

By the interaction of the delta-shock wave with the elementary waves we present the generalized Riemann problem for this system and construct the Cited by: 2.