摘要
研究二维平面坐标系和二维轴对称坐标系中四边形网格上可压缩流体力学的有限体积ALE(Arbitrary Lagrangian Eulerian)方法.数值方法采用节点中心有限体积法,数值通量采用适用于任意状态方程的HLLC(Harten-Lax-Van Leer-Collela)通量.空间二阶精度通过用WENO(weighted essentially non-oscillatory)方法对原始变量进行重构获得,时间离散采用两步显式Runge-Kutta格式.数值例子显示,方法具有良好的激波分辨能力和高精度的数值逼近能力.
ALE（Arbitrary Lagrangian Eulerian） finite volume method for compressible fluid flows on moving quadrilateral meshes in two dimensional planar coordinates and axisymmetric coordinates is studied.A vertex-centered finite volume method and an HLLC numerical flux adapted to various equations of state are employed.A second order accuracy in space is achieved by using a reconstruction of primitive variables based on WENO approach.An explicit two-stage Runge-Kutta time-stepping scheme is used in discretization of time.The method offers accurate and robust solutions in capturing strong shock,contact discontinuities and material interface on arbitrarily moving grids.
出处
《计算物理》
CSCD
北大核心
2007年第5期543-549,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金(10471011)资助项目
