摘要
将基于最小二乘法的无网格有限差分方法(MLSFD方法)和传统有限差分方法(FDM)相结合,生成了一种混合算法。研究并解决了差分网格/无网格混合算法的耦合问题,将混合算法运用于求解二维浅水方程,通过计算高雷诺数(Re=105)条件下的圆柱绕流模型揭示了该混合算法在进行二维浅水模型的数值模拟方面具有较高的精确度。
Based on the combination between the mesh-free least square-based finite difference(MLSFD)method and the conventional finite difference method(FDM),a hybrid algorithm is created herein,and then the problems from the coupling of both the different algorithms for the hybrid algorithm concerned are studied and solved.Furthermore,the hybrid algorithm is applied to the calculation of the 2-D shallow water equations.Through the numerical simulation of the flow around circular cylinder with a high Reynolds number(Re=105),the hybrid algorithm is demonstrated to have a high accuracy for the numerical simulation made on the 2-D shallow water equations.
出处
《水利水电技术》
CSCD
北大核心
2012年第3期26-29,共4页
Water Resources and Hydropower Engineering
基金
国家自然科学基金(51175001
51106001)
安徽高教省级科学研究项目基金(KJ2011B016
KJ2012B020
KJ2012 B016)
关键词
二维浅水方程
无网格方法
MLSFD方法
有限差分方法
圆柱绕流
2D shallow water equation
meshfree method
meshfree least square-based finite difference method
finite difference method
flow around circular cylinder
