.png){kind=icon}
返回
Microscopically implicit-macroscopically explicit schemes for the BGK equation
.png){kind=icon}
OA
AI
DOI：10.1016/j.jcp.2011.08.027.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this work a new class of numerical methods for the BGK model of kinetic equations is introduced. The schemes proposed are implicit with respect to the distribution function, while the macroscopic moments are evolved explicitly. In this fashion, the stability condition on the time step coincides with a macroscopic CFL, evaluated using estimated values for the macroscopic velocity and sound speed. Thus the stability restriction does not depend on the relaxation time and it does not depend on the microscopic velocity of energetic particles either. With the technique proposed here, the updating of the distribution function requires the solution of a linear system of equations, even though the BGK model is highly non linear. Thus the proposed schemes are particularly effective for high or moderate Mach numbers, where the macroscopic CFL condition is comparable to accuracy requirements. We show results for schemes of order 1 and 2, and the generalization to higher order is sketched. (C) 2011 Elsevier Inc. All rights reserved.
Keyword:
BGK model
Kinetic equations
Implicit schemes
Hybrid methods
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
引用论文
Time Course of Change in Hepatic Lipid Peroxide Level in Iron-Deficient Rats.铁缺乏大鼠肝脏脂质过氧化物水平变化的时间过程。OAAI
OAAI分享收藏Observations on the influence of culture conditions of the fungal feeding preferences of Folsomia Candida (Collembola:Isotomidae).png)
PedobiologiaOAAI
PedobiologiaIF0
OAAI分享收藏Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries平面和轴对称几何中boltzmann-bgk方程的离散速度模型和数值方案
PREAI
分享收藏Short Communication: Preferential Killing of HIV Latently Infected CD4+T Cells by MALT1 Inhibitor
OAAI
OAAI分享收藏
查看更多内容