2 edition of **Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations** found in the catalog.

Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations

Shiu-Hong Lui

- 387 Want to read
- 13 Currently reading

Published
**1999**
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

- Differential equations.,
- Fluid dynamics.,
- Gas flow.,
- Kinetic theory of gases.,
- Lagrange equations -- Numerical solutions.

**Edition Notes**

Other titles | ICASE |

Statement | Lui Shiuhong, Kun Xu. |

Series | ICASE report -- no. 99-5, NASA/CR -- 1999-208981, NASA contractor report -- NASA CR-1999-208981. |

Contributions | Xu, Kun, 1966-, Institute for Computer Applications in Science and Engineering., Langley Research Center. |

The Physical Object | |
---|---|

Pagination | 13 p. : |

Number of Pages | 13 |

ID Numbers | |

Open Library | OL20920971M |

Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations Author(s): Lui, S.H.; Xu, Kun ; High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamicsCited by: ON KINETIC FLUX VECTOR SPLITTING SCHEMES FOR QUANTUM EULER EQUATIONS Jingwei Hu and Shi Jin Department of Mathematics University of Wisconsin-Madison Lincoln Drive, Madison, WI , USA (Communicated by Pierre Degond) Abstract. The kinetic ux vector splitting (KFVS) scheme, when used for quantum Euler equations, as was done by Yang et al.

Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. M. S. Espedal and K. Hvistendahl Karlsen: Numerical solution of reservoir flow models based on large time step operator splitting algorithms. schemes for the compressible Euler equations, as well as to the development of new schemes for a non-strictly hyperbolic system. Key words. magnetohydrodynamics, ﬂux splitting, gas-kinetic scheme Subject classi cation. Applied Numerical Mathematics 1. Introduction. The development of numerical methods for the MHD equations has attracted much.

A class of upwind flux splitting methods in the Euler equations of compressible flow is considered in this paper. Moreover, the second order scheme is a stable perturbation of the first order scheme, so that the positivity of the second order schemes is also established, under a CFL-like condition. A class of upwind flux splitting Cited by: 8. Flux Vector Splitting Methods 0- 0 1 Position 2 B a I 0 0 1 Position 7 0 05 1 Position 1 0 1 Position Fig. Steger and Warming FVS scheme applied to Test 1, with 20 = Numerical (symbol) and exact (line) solutions are compared at time unitsFile Size: KB.

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Entropy Analysis of Kinetic Flux Vector Splitting Schemes for the Compressible Euler Equations Shiuhong Lui The Hong Kong University of Science and Technology, Kowloon, Hong Kong Kun Xu ICASE, Hampton, Virginia Institute for Computer Applications in Science and Engineering NASA Langley Research Center Hampton, VA.

ENTROPY ANALYSIS OF KINETIC FLUX VECTOR SPLITTING SCHEMES FOR THE COMPRESSIBLE EULER EQUATIONS SHIUHONG LUIy AND KUN XUz Abstract. Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations.

In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory. Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations.

In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is by: Entropy analysis of kinetic ﬂux vector splitting schemes for the compressible Euler equations Shiu Hong Lui and Kun Xu Abstract.

Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is.

Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is proved.

Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is proved.

The proof of the entropy condition involves the entropy definition difference between the distinguishable and indistinguishable. Kinetic flux vector splitting for euler equations. development of a class of new upwind methods and a novel treatment of the boundary condition based on the concept of kinetic flux vector splitting (KFVS) for solving inviscid gasdynamic problems.

symmetric hyperbolic form for the split flux Euler equations is used in demonstrating the Cited by: Kinetic schemes (or Boltzmann schemes) is a general numerical procedure for solving hyper-bolic systems (see for example [7]).

For the classical compressible Euler equations, Deshpande and Raul [5] proposed the kinetic theory based ﬂuid-in-cell method and subsequently Deshpande [4] improved it by adding antidiﬀusive by: The first two-dimensional problem is the interaction between a shock and a denser cloud.

Initially, there is a strong shock with Mach number at x 0 =, which propagates in the pre- and post-shock states for ρ, T, u 1, u 2 are taken as (1, −) and (, 20, 0, 0). On the other hand, there is a circular cloud which is denser than the pre-shock by: Abstract. Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations.

In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is : Shiu Hong Lui and Kun Xu. Vol. 50 () Gas-kinetic schemes for the compressible Euler equations based on the Boltzmann equation start from: Rare ed gas ﬂow −!Navier-Stokes −!Euler.

Basically, this is also the direct reason why Boltzmann-type schemes always give the entropy satisfying solutions.

much the mesh is refined. ( There are many versions of flux vector splitting schemes, both for the Euler and gas-kinetic equations. In all these versions, if correlations between the left- and right-moving waves are missed at the dynamical stage, then these schemes will definitely fail for the.

The proposed numerical scheme is a splitting scheme based on the kinetic flux-vector splitting (KFVS) method for the hyperbolic step, and a semi-implicit Runge-Kutta method for the relaxation step.

The KFVS method is based on the direct splitting of macroscopic flux functions of. On the other hand, it is indicated that the present solver can be considered to fall within the broader class of kinetic flux vector splitting scheme (KFVS) [38] [39] [40][41].

KFVS is similar to. Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations Author: Lui Shiuhong ; Institute for Computer Applications in Science and Engineering. The kinetic flux vector splitting (KFVS) scheme, when used for quantum Euler equations, as was done by Yang et al [22], requires the integration of the quantum Maxwellian (Bose-Einstein or Fermi-Dirac distribution), giving a numerical flux much more complicated than the classical counterpart.

As a result, a nonlinear 2 by 2 system that connects the macroscopic quantities temperature and Cited by: () Modified kinetic flux vector splitting schemes for compressible flows. Journal of Computational Physics() A quadrature-based third-order moment method for dilute gas-particle flows.

Kinetic energy preserving and entropy stable ﬁnite volume schemes for compressible Euler and Navier-Stokes equations Praveen Chandrashekar TIFR Center for Applicable Mathematics, BangaloreIndia Abstract.

Centered numerical ﬂuxes can be constructed for compressible Euler equa-Cited by: Starting from the gas-kinetic model, a new class of relaxation schemes for the Euler equations is presented. In contrast to the Riemann solver, these schemes provide a multidimensional dynamical gas evolution model, which combines both Lax-Wendroff and kinetic flux vector splitting schemes, and their coupling is based on the fact that a nonequilibrium state will evolve into an Cited by: 8.

() On kinetic flux vector splitting schemes for quantum Euler equations. Kinetic and Related Models() A gas-kinetic BGK scheme Cited by:. Secondly, we use entropy- variable based matrix dissipation flux which leads to kinetic energy and entropy stable schemes.

These schemes are shown to be free of entropy violating solutions unlike the original Roe scheme. For hypersonic flows a blended scheme is proposed which gives carbuncle free solutions for blunt body by: Let H be a convex function. A Boltzmann equation is built following the B.G.K.

model, for which H is an entropy. In the fluid limit, the compressible Euler equations are obtained with a convex entropy naturally associated to motivation is to define numerical Boltzmann schemes with finite speed of propagation corresponding to an equilibrium density function with bounded by: The entropy kernel is only Hölder continuous and its regularity is carefully investigated.

Relying on a notion introduced earlier by the authors, it is also proven that, for the Euler equations, the set of entropy flux-splittings conincides with the set of entropies-entropy fluxes. These results imply the existence of a flux-splitting Cited by: 7.