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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/37037

Title: Rarefied Flow Computations Using Nonlinear Model Boltzmann Equations
Authors: J.Y. Yang;J.C. Huang
Contributors: 國立臺灣海洋大學:商船學系
Date: 1995-09
Issue Date: 2015-12-31T02:14:40Z
Publisher: Journal of Computational Physics
Abstract: Abstract:High resolution finite difference schemes for solving the nonlinear model Boltzmann equations are presented for the computations of rarefied gas flows. The discrete ordinate method is first applied to remove the velocity space dependency of the distribution function which renders the model Boltzmann equation in phase space to a set of hyperbolic conservation laws with source terms in physical space. Then a high order essentially nonoscillatory method due to Harten et al. (J. Comput. Phys. 71, 231, 1987) is adapted and extended to solve them. Explicit methods using operator splitting and implicit methods using the lower-upper factorization are described to treat multidimensional problems. The methods are tested for both steady and unsteady rarefied gas flows to illustrate its potential use. The computed results using model Boltzmann equations are found to compare well both with those using the direct simulation Monte Carlo results in the transitional regime flows and those with the continuum Navier-Stokes calculations in near continuum regime flows.
Relation: 120(2), pp.323–339
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/37037
Appears in Collections:[商船學系] 期刊論文

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