Journal Article10.1006/JCPH.1995.1168
Rarefied Flow Computations Using Nonlinear Model Boltzmann Equations
Jaw-Yen Yang,J. C. Huang +1 more
262
TL;DR: In this paper, Harten et al. presented high-resolution finite difference schemes for solving the nonlinear model Boltzmann equations for the computations of rarefied gas flows.
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About: This article is published in Journal of Computational Physics. The article was published on 01 Sep 1995. The article focuses on the topics: Direct simulation Monte Carlo & Boltzmann equation.
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Citations
Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries
TL;DR: A linearized implicit scheme for computing stationary solutions of the discrete-velocity BGK and BGK-ES models is developed, which is the basis of a code which can compute high altitude hypersonic flows, in 2D plane and axisymmetric geometries.
383
Discrete velocity model and implicit scheme for the bgk equation of rarefied gas dynamics
Luc Mieussens,Luc Mieussens +1 more
TL;DR: A discrete velocity model of this equation is proposed using the minimum entropy principle to define a discrete equilibrium function, and this model ensures positivity of solutions, conservation of moments, and dissipation of entropy.
277
Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case.
TL;DR: Comparisons with the results of direct simulation Monte Carlo (DSMC) and other benchmark data demonstrate that the DUGKS is a reliable and efficient method for multiscale flow problems.
Implicit—Explicit Schemes for BGK Kinetic Equations
TL;DR: In this work a new class of numerical methods for the BGK model of kinetic equations is presented, based on an explicit–implicit time discretization, where the convective terms are treated explicitly, while the source terms are implicit.
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
Juan-Chen Huang,Kun Xu,Pubing Yu +2 more
TL;DR: In this paper, a unified gas-kinetic scheme based on the Shakhov model in two-dimensional space is presented, which can capture non-equilibrium flow physics in the transition and rarefied flow regimes.
182
References
Uniformly high order accurate essentially non-oscillatory schemes, 111
TL;DR: An hierarchy of uniformly high-order accurate schemes is presented which generalizes Godunov's scheme and its second- order accurate MUSCL extension to an arbitrary order of accuracy.
3.1K
Numerical hydrodynamics from gas-kinetic theory
Kevin H. Prendergast,Kun Xu +1 more
TL;DR: In this paper, a new high-resolution numerical hydrodynamic scheme is developed from considerations of gas-kinetic theory, which uses the particle distribution function, and follows its evolution to evaluate the numerical fluxes.
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