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Tuesday, August 4, 2020 | History

2 edition of Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability found in the catalog.

Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability

Kun Xu

Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability

by Kun Xu

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Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, Springfield, VA .
Written in English

    Subjects:
  • Differential equations -- Numerical solutions.,
  • Functional analysis.,
  • Gas flow.,
  • Kinetic theory of gases.

  • Edition Notes

    Other titlesGas evolution dynamics in Godunov type schemes and analysis of numerical shock instability, ICASE
    StatementKun Xu.
    SeriesICASE report -- no. 99-6, NASA/CR -- 1999-208985, NASA contractor report -- NASA CR-208985.
    ContributionsInstitute for Computer Applications in Science and Engineering., Langley Research Center.
    The Physical Object
    Pagination16 p. :
    Number of Pages16
    ID Numbers
    Open LibraryOL19394326M

    This peculiarity of Euler equations can cause numerical instability in a shock discontinuity since information on the unique solution under undisturbed conditions is lost by disturbances. As a result, shock instability cannot be removed completely in the scheme which is consistent with Euler : Kyu Hong Kim, Chongam Kim, Oh-Hyun Rho, Kyung-Tae Lee. A simple strategy to cure shock instability in the HLLC Riemann solver proposed. • Cure achieved by enhancing the inherent HLL-type diffusive component. • Two shock stable variants namely HLLC-SWM-E and HLLC-SWM-P are developed. • Robustness and accuracy of the scheme are demonstrated on several numerical by: 5.

      In this paper, a class of compact higher-order gas-kinetic schemes (GKS) with spectral-like resolution will be presented. Based on the high-order gas evolution model, both the flux function and conservative flow variables in GKS can be evaluated explicitly from the time-accurate gas distribution function at a cell interface. As a result, inside each control volume both the cell-averaged flow Cited by: 8. A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed spherically-symmetric ows of gas dynamics Jean-Marie Clarisse To cite this version: Jean-Marie Clarisse. A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed spherically-symmetric ows of gas dynamics. HAL Id: hal.

    The central schemes are robust, reliable, compact and easy to implement. Several one- and two-dimensional numerical test cases are included in this paper, which validates the application of these schemes to multicomponent by: 6. 29th Computational Fluid Dynamics Feb. , Gas-Kinetic Schemes for Unsteady Compressible Flow Simulations Kun Xu The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong. merical scheme, i.e. reconstruction, gas-evolution and projection. A good numericalFile Size: 3MB.


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Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability by Kun Xu Download PDF EPUB FB2

GAS EVOLUTION DYNAMICS IN GODUNOV-TYPE SCHEMES AND ANALYSIS OF NUMERICAL SHOCK INSTABILITY * KUN XU t Abstract. In this paper we are going to study the gas evolution dynamics of the exact and approximate Ricmann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Difference Splitting (FDS) schemes.

GAS EVOLUTION DYNAMICS IN GODUNOV-TYPE SCHEMES AND ANALYSIS OF NUMERICAL SHOCK INSTABILITY KUN XUy Abstract. In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Di erence Splitting (FDS) schemes.

In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Di#erence Splitting (FDS) schemes. BibTeX @TECHREPORT{Xu99gasevolution, author = {Kun Xu}, title = {Gas Evolution Dynamics in Godunov-type Schemes and Analysis of Numerical Shock Instability}, institution = {AND RISEBRO (Helge Holden) Department of Mathematical Sciences, Norwegian University of Science and Technology}, year = {}}.

Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability Author: Kun Xu ; Institute for Computer Applications in Science and Engineering. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Difference Splitting (FDS) schemes.

Since the FVS scheme and the Kinetic Flux Vector Splitting (KFVS) scheme have the same physical mechanism and similar flux. Gas Evolution Dynamics in Godunov-type Schemes and Analysis of Numerical Shock Instability. By Kun Xu. Abstract. In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Di#erence Splitting (FDS) schemes.

Author: Kun Xu. GAS EVOLUTION DYNAMICS IN GODUNOV-TYPE SCHEMES AND ANALYSIS OF NUMERICAL SHOCK INSTABILITY.

By Kun Xu. Abstract. In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Difference Splitting (FDS) schemes.

Author: Kun Xu. a robust Godunov-type scheme with a simple cure for the shock instability is suggested. With only the dissipation corresponding to shear waves in troduced in the vicinity of strong shocks, the. Gas Evolution Dynamics in Godunov-Type Schemes and Analysis of Numerical Shock Instability Xuk General Procedure for Riemann Solver to Eliminate Carbuncle and Shock Instability.

In the next section, the robustness of these four variants of the Godunov-type schemes in capturing a steady normal shock will be evaluated. By carrying out numerical experiments and a linearized analysis, the connections between the numerical dissipation and the shock instability properties of the Godunov-type schemes are explored in depth.

by: Numerical approximation by Godunov-type schemes of shocks and other waves. Twelfth International Conference on Numerical Methods in Fluid Dynamics, () A high order staggered grid method for hyperbolic systems of conservation laws in one space by: The scheme is thus of the Godunov type.

It is conservative, accurate to second order in both space and time, and makes use of a nonlinear Riemann solver to obtain fluxes of the conserved quantities.

In this paper, Godunov-type schemes are considered for the equations of gas dynamics using Lagrangian coordinates. A Roe linearization is constructed for a general equation of state. It does not coincide with that for Eulerian by: Definitions Let d = 2 or 3 be the dimension of the physical space.

Although d = 3 is relevant for the real world, many phenomena are two-dimensional at the leading order and we shall often assume that d = 2. We denote by t the time variable and by x = (x1;;xd) 2 Rd the space variable.

Gases in thermodynamical equilibrium are described by a velocity field u 2 Rd and scalarCited by: Kinetic Schemes for Selected Initial and Boundary Value Problems K. Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability. ICASE Report Herrmann M., Kunik M., Qamar S.

() Kinetic Schemes for Selected Initial and Boundary Value Problems. In: Warnecke G. (eds) Analysis and Numerics for Cited by: 1. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int.

Numer. Meth. Fluids ; 1–22 (DOI: /fld) Dissipative mechanism in Godunov-type schemes Kun Xua,*,1 and Zuowu Lib a Mathematics Department, The Hong Kong Uni ersity of Science and Technology, Clear Water Bay, Kowloon, Hong Kong b Computational Fluid Dynamics Laboratory, Beijing Uni ersity of.

Gas-evolution Dynamics in Godunov-Type Schemes and Analysis of Numerical Shock Instability () 34 K Xu, L Martinelli, A Jameson Gas-kinetic finite Cited by: Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability, (). High resolution schemes for hyperbolic conservation laws,Cited by: Xu, K.

() Gas Evolution Dynamics in Godunov-Type Schemes and Analysis of Numerical Shock Instability. ICASE Report No. [ 33 ]Author: Tayabia Ghaffar, Muhammad Yousaf, Saira Sultan, Shamsul Qamar.

Summary. In this contribution, Godunov-type schemes for the equations of gas dynamics in Lagrangean coordinates are considered. Roe’s approximate Riemann solver is constructed in this case and it is shown that it may fail within regions of high by: 1.gas evolution dynamics in godunov-type schemes and analysis of numerical shock instability by Kun Xu, In this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers, e.g., the Flux Vector Splitting (FVS) and the Flux Difference Splitting (FDS) schemes.We also demonstrate a relation between the signal velocities and the dissipation contained in the corresponding Godunov-type method.

The computation of signal velocities for a general (convex) equation of state is discussed. Numerical results for the one- and two-dimensional compressible gas dynamics equations are also by: