VSIA:一种求解流体力学方程的多积分矩公式

计算物理 ›› 2003, Vol. 20 ›› Issue (6): 483-492.

VSIA:一种求解流体力学方程的多积分矩公式

肖锋

日本国立东京工业大学能源系, 日本

收稿日期:2002-05-31 出版日期:2003-11-25 发布日期:2003-11-25
作者简介:肖锋, male, Japan,academically interested in numerical for fluid dynamics.

VSIA:a Multi Integrated Moment Formulation for Hydrodynamics

XIAO Feng

Department of Energy Sciences, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 226-8502 Japan

Received:2002-05-31 Online:2003-11-25 Published:2003-11-25

摘要/Abstract

摘要： 使用变量间的积分矩公式给出一种构造流体力学方程数值格式的方法,即体积面积分平均方法(VSIA).该方法使用两种积分矩VIA(体积积分平均)和SIA(面积积分平均)给出一种完全的守恒型体积积分公式.基于一类守恒型半Lagrange输运算法CIP-CSL,能够清晰地构造出VSIA.对一般演化方程进行讨论,并应用于Burgers湍流、无粘可压流和不可压粘性流.

关键词: 流体力学方程, 体积面积分平均公式, 多积分矩

Abstract: Preliminary work on constructing numerical models for fluid dynamics is presented by utilizing the integrated moments of the dependent variables.The presented method,namely VSIA(Volume Surface Integrated Average),employs two integrated moments which are called VIA(Volume Integrated Average) and SIA(Surface Integrated Average), and gives a completely conservative formulation for the VIA.The numerical model is based on the CIP-CSL schemes,a class of conservative semi-Lagrangian transport schemes,and can be constructed under a lucid guideline.Some numerical aspects of the VSIA for general evolution equations will be discussed,and implementations for Burgers turbulence,inviscid compressible flow and incompressible viscous flow are then presented.

Key words: hydrodynamics formulation, volume surface integrated average, multi integrated moment

中图分类号:

O241.8
O35

肖锋. VSIA:一种求解流体力学方程的多积分矩公式[J]. 计算物理, 2003, 20(6): 483-492.

XIAO Feng. VSIA:a Multi Integrated Moment Formulation for Hydrodynamics[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(6): 483-492.

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