Burgers方程的MPS-MAFL数值解法  

NUMERICAL SOLUTION OF BURGERS EQUATION BY MPS-MAFL METHOD

作　　者：项利峰[1] 席光[1] 孙中国[1] 

机构地区：[1]西安交通大学能源与动力工程学院,陕西西安710049

出　　处：《工程热物理学报》2007年第1期52-54,共3页Journal of Engineering Thermophysics

基　　金：国家自然科学基金项目(No.50276047)

摘　　要：使用一种粒子无网格线混合格式MPS-MAFL方法对Burgers方程进行了数值求解,给出了算法的详细过程并对计算结果进行了分析,计算结果与解析解相吻合。进行了变参数初步计算,给出了在不同粒子数目及不同粒子作用半径下的计算结果。计算表明,使用MPS-MAFL方法求解Burgers方程具有较高的通用性及稳定性,且方法简单易行。The MPS-MAFL hybrid method was used to solve numerically the Burgers Equation. The details of the algorithm are presented and the computation results are in good agreement with the analytical solution. The influence of varying the number of particles and the interaction radius between particles are discussed on the accurancy of computation. It is shown that the MPS-MAFL method has high stability and universality in solving the Burgers equation, and also is easy to be implemented.

关 键 词：BURGERS方程 MPS-MAFL方法 数值模拟 

分 类 号：O357.1[理学—流体力学]