直接边界积分方法计算水波的稳定性  

STABILITY OF BOUNDARY INTEGRAL METHOD FOR WATER WAVE

作　　者：徐正富[1] 张平文[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《计算数学》2002年第3期311-318,共8页Mathematica Numerica Sinica

基　　金：国家重点基础研究专项经费(G1999032804);国家教育部博士点基金资助项目.

摘　　要：The motion of free surfaces in incompressible, irrotational, inviscid flows isstudied by evolution equations for the position of the free surfaces and appropriatedirect boundary integral equation for the velocity potential. In order to maintainthe stability of computation, some compatible relationship must be satisfied. Thenumerical result for the standing wave identified the stability of method.The motion of free surfaces in incompressible, irrotational, inviscid flows is studied by evolution equations for the position of the free surfaces and appropriate direct boundary integral equation for the velocity potential. In order to maintain the stability of computation, some compatible relationship must be satisfied. The numerical result for the standing wave identified the stability of method.

关 键 词：周期水波 速度势 边界积分方法 稳定性 数值模拟 水动力学 流体动力学方程 

分 类 号：O351[理学—流体力学]