Distributional Collision Modeling for Monte Carlo Simulations

被引：0

作者：

Schrock, Christopher R. ^{[1
]}

Wood, Aihua W. ^{[1
]}

机构：

[1] USAF, Inst Technol, Dept Math & Stat, Wright Patterson AFB, OH 45433 USA

来源：

27TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, 2010, PTS ONE AND TWO | 2011年 / 1333卷

关键词：

DSMC; Boltzmann Equation; Kernel Density Estimation; BOLTZMANN-EQUATION; CONVERGENCE PROOF; SCHEME;

D O I：

10.1063/1.3562668

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we present the initial results in our development of Distributional DSMC (DDSMC) methods. By modifying Nanbu's method to allow distributed velocities, we have shown that DSMC methods are not limited to convergence in probability measure alone, but can achieve strong convergence for L(1) solutions of the Boltzmann equation and pointwise convergence for bounded solutions. We also present an initial attempt at a general distributional method and apply these methods to the Bobylev, Krook, and Wu space homogeneous solution of the Boltzmann equation.

引用

页码：319 / 324

页数：6

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