VSIA:一种求解流体力学方程的多积分矩公式(英文)  

VSIA:a Multi Integrated Moment Formulation for Hydrodynamics

作　　者：肖锋[1] 

机构地区：[1]日本国立东京工业大学能源系

出　　处：《计算物理》2003年第6期483-492,共10页Chinese Journal of Computational Physics

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。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.

关 键 词：流体力学方程 多积分矩公式 VSIA 体积积分平均 面积积分平均 Lagrange输运算法 Burgers湍流 无粘滞可压缩流 不可压缩粘滞流 

分 类 号：O241.8[理学—计算数学] O35[理学—数学]