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2 edition of Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit found in the catalog.

Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit

Kun Xu

Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit

by Kun Xu

  • 371 Want to read
  • 21 Currently reading

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:
  • Fluid dynamics -- Computer simulation.,
  • Gas flow.,
  • Heat -- Transmission -- Computer simulation.,
  • Kinetic theory of gases.,
  • Rayleigh-Bénard convection.

  • Edition Notes

    Other titlesRayleigh Beńard simulation using gas kinetic BGK scheme in the incompressible limit, ICASE
    StatementKun Xu and Shiu-Hong Lui.
    SeriesICASE report -- no. 98-56, NASA/CR -- 1998-208964, NASA contractor report -- NASA CR-1998-208964.
    ContributionsLui, Shiu-Hong, 1961-, Institute for Computer Applications in Science and Engineering., Langley Research Center.
    The Physical Object
    Pagination14 p. :
    Number of Pages14
    ID Numbers
    Open LibraryOL18958700M

    Wang, L.-P. Wang, and Z. Guo, “ Comparison of the lattice Boltzmann equation and discrete unified gas-kinetic scheme methods for direct numerical simulation of decaying turbulent flows,” Phys. .   () Explicit formulations of gas-kinetic flux solver for simulation of incompressible and compressible viscous flows. Journal of Computational Physics , () Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density.

    A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method Author(s): Xu, Kun Source: Journal of computational physics., v. , (1), , p. Year: Nishant Parashar, Balaji Srinivasan, Sawan Suman () Evaluation of the Gas Kinetic Scheme Based on Analytical Solution to the BGK Model for Simulating Compressible Turbulent Flows. In: Saha A., Das D., Srivastava R., Panigrahi P., Muralidhar K. (eds) Fluid Mechanics and Fluid Power – .

    K. Xu, "A Gas-kinetic BGK Scheme for the Navier-Stokes Equations, and Its Connection with Artificial Dissipation and Godunov Method", J. Comput. Phys., Vol. (), pp. Typos in the paper; Comment on "Development of an Improved Gas-kinetic BGK Scheme for . A. Gas-Kinetic BGK Scheme The gas-kinetic BGK scheme is based on the Boltzmann BGK equation where the collision operator (see Eq. (5)) is replaced by the Bhatnagar-Gross-Krook model The Boltzmann BGK equation in 3-D can be written as (ignoring external forces) f t+ uf x+ vf y+ wf z= g f ˝ (8).


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Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit by Kun Xu Download PDF EPUB FB2

Rayleigh-Be´nard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit Kun Xu and Shiu Hong Lui Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong ~Received 28 September.

In this paper, a gas-kinetic Bhatnagar-Gross-Krook~BGK. model is. RAYLEIGH-B]_NARD SIMULATION USING GAS-KINETIC BGK SCHEME IN THE INCOMPRESSIBLE LIMIT * KUN XU t AND SHIU-HONG LUIt Abstract. In this paper, a gas-kinetic BGK modcI is constructed for the Raylcigh-BSnard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models.

Get this from a library. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. [Kun Xu; Shiu-Hong Lui; Institute for Computer Applications in.

RAYLEIGH-B ENARD SIMULATION USING GAS-KINETIC BGK SCHEME IN THE INCOMPRESSIBLE LIMIT KUN XUy AND SHIU-HONG LUIz Abstract. In this paper, a gas-kinetic BGK model is constructed for the Rayleigh-B enard thermal convection in the incompressible flow limit, where the flow eld and temperature eld are described by two coupled BGK models.

This paper extends the gas-kinetic BGK-type scheme to low Mach number flows, and thus shows that incompressible flow solutions are accurately obtained from the BGK scheme in the low Mach number limit. Rayleigh-Benard Simulation using Gas-Kinetic BGK Scheme in the Incompressible Limit. By Kun Xu and Shiu-Hong Lui.

Abstract. In this paper, a gas-kinetic BGK model is constructed for the Rayleigh-Benard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models.

In this work, we propose an improved discrete gas-kinetic scheme (DGKS) for viscous incompressible and compressible flows based on the modified circular function. Xu and S. Lui, “ Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit,” Phys.

Rev. E 60, (). K. XuA gas-kinetic BGK scheme for the Navier–Stokes equations and its connection with artificial dissipation and Godunov method J. Comput. Phys., (1) (), pp. The connection among von Neumann and Richtmyer's artificial dissipation, Godunov method, and the gas-kinetic BGK scheme is discussed, from which the two concepts of dynamical and kinematical dissipation are introduced.

The principles for constructing accurate and robust numerical schemes for the compressible flow simulation are proposed.

This paper presents an improved gas-kinetic scheme based on the Bhatnagar– Gross–Krook (BGK) model for the compressible Navier–Stokes equations. The cur-rent method extends the previous gas-kinetic Navier–Stokes solver developed by Xu and Prendergast (J. Comput.

Phys.9) by (a) implementing a general nonequi. Development of discrete gas kinetic scheme for simulation of 3D viscous incompressible and compressible flows using the gas-kinetic BGK scheme cast in a finite difference Book.

Jan. The development of the gas kinetic BGK scheme started in s by Xu et al. Since then, great progress has been obtained on this scheme.

InXu extended the GKS (gas kinetic BGK) scheme to multicomponent flows, which was furtherly developed for chemical reaction flows by Lian and Xu. In that work, they introduced the component. calculations. Lately Xu14 has used BGK schemes to solve shallow water equations, ideal MHD equations, and for chemical reactions.

In this paper, the authors will present numerical results of three-dimensional compressible flows with the gas-kinetic BGK method. This is the first time that the gas-kinetic BGK scheme has been used for three. During the simulations, we find that, though the present gas kinetic BGK scheme is an explicit scheme, the maximal σ can often be a little bit larger than 1 and in the present case, numerical simulation shows the present gas kinetic BGK scheme based FVLBM can be stable if the CFL numbers σ ≤ In computational fluid dynamics (CFD) community, the gas kinetic scheme (GKS) based on the Boltzmann BGK model [1] for accurate solution in compressible and incompressible flows developed by.

Book. Jan ; Charles Hirsch In order to simulate the compressible and incompressible turbulent flows, a gas-kinetic scheme (GKS) based on the Bhatnagar–Gross–Krook (BGK) model coupled.

Abstract. Based on the extended BGK equation, the gas-kinetic scheme (GKS) is developed for fine simulation of high-Reynolds-number turbulence. With the help of existing hybrid RANS/LES models to approximate the effective relaxation time, two extended schemes, GKS-DES/IDDES are constructed and show good performances in typical turbulent flow around a cylinder.

In this paper, the gas-kinetic Bhatnagar–Gross–Krook (BGK) scheme is developed using the finite difference method and applied to simulate 2D compressible inviscid flow.

The following scheme as a BGK solver has 2nd-order time accuracy. The construction of the scheme. At each cell interface, a central goal for any finite volume scheme is to evaluate the numerical fluxes.

In the gas kinetic scheme, this flux is obtained through the integration of a gas distribution function. In this study, the combination of BGK scheme with turbulence models is investigated.

To account for the effect of turbulent fluctuations, the physical particle collision time is modified with the turbulence relaxation time. Several traditional turbulence models are considered, including the S‐A model, the Abid model and the SST model, as well as the transition model.

Xu, K.: A gas-kinetic BGK scheme for the Navier-Stokes equations, and its connection with artificial dissipation and Godunov method.

J. Comput. Phys.It is found that this gas-kinetic BGK scheme possesses accuracy that is superior to the flux vector splitting schemes and avoids the anomalies of Godunov-type schemes [2,3,5,6,10,13,16].

Recent advancements in the development of the gas-kinetic BGK scheme can be found in the work of Xu, Chae, Ruan, Kunik and Abdussalam [2,3,4,5,12,17,18,19,20,21].Compressible convection simulation by the gas-kinetic BGK scheme. Authors: Tian, Chun-Lin: Issue Date: Summary: A multidimensional finite volume gas-kinetic BGK scheme for obtaining nu-merical solutions to the compressible Navier-Stokes equations with external source terms is outlined in this thesis.

This scheme is applied to the case.