A Stochastic Weighted Particle Method for the Boltzmann Equation

SERGEJ RJASANOW; WOLFGANG WAGNER

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A Stochastic Weighted Particle Method for the Boltzmann Equation

机译：Boltzmann方程的随机加权粒子法

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摘要

A class of algorithms for the numerical treatment of the Boltzmann equation is introduced. This class generalizes the standard direct simulation Monte Carlo method, which is contained as a particular case. The new algorithms use a more general procedure of modelling collisions between particles. This procedure is based on a ran-dom weight transfer from the particles with the precollision velocities to the particles with the postcollision velocities.

机译：介绍了用于Boltzmann方程数值处理的一类算法。此类概括了标准的直接模拟蒙特卡洛方法，该方法作为特殊情况包含在其中。新算法使用更通用的过程来模拟粒子之间的碰撞。该程序基于从具有碰撞前速度的颗粒到具有碰撞后速度的颗粒的随机重量转移。

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来源
《Journal of Computational Physics》 |1996年第2期|p.243-253|共11页
作者
SERGEJ RJASANOW; WOLFGANG WAGNER;
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作者单位

University of Kaiserslautern, Department of Mathematics, Postfach 3049, D-67653 Kaiserslautern, Germany;

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正文语种 eng
中图分类应用物理学;
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1. Convergence of the stochastic weighted particle method for the Boltzmann equation [J] . Matheis I., Wagner W. SIAM Journal on Scientific Computing . 2003,第5期

机译：Boltzmann方程的随机加权粒子方法的收敛性
2. STOCHASTIC SYSTEMS OF WEIGHTED PARTICLES APPROXIMATING THE SPATIALLY INHOMOGENEOUS BOLTZMANN EQUATION [J] . Rjasanow S., Wagner W. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s3期

机译：近似于空间非均匀Boltzmann方程的加权粒子随机系统
3. Stochastic Systems of Weighted Particles Approximating the Spatially Inhomogeneous Boltzmann Equation [J] . Rjasanow S., Wagner W. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第S3期

机译：加权粒子的随机系统逼近空间非均匀Boltzmann方程
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A Stochastic Weighted Particle Method for the Boltzmann Equation

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