单点法解水动力方程  

Single Point Method for Solving Hydrodynamic Equation

作　　者：付昱华 

机构地区：[1]中国海洋石油开发工程设计公司

出　　处：《水动力学研究与进展（A辑）》1996年第1期1-8,共8页Chinese Journal of Hydrodynamics

摘　　要：本文给出确定水动力方程在任一孤立点上的解（点解）的单点法。确定点解时不必考虑其它点的影响，亦即点解是独立求出的。确定点解时应用配点法使点解在边界上的若干点上严格满足边界条件，点解还在其适用点上满足水动力方程和若干对水动力方程求导所得的导残数方程。点解的待定常数由联立方程组确定。This paper presents the Single Point Method(SPM) for deciding the hydrodynamic equation's solution on any solitary point(point solution).As the Point Solution(PS) is being development independently,it does not need to consider the compatibility with other points.As deciding PS,the collocation method was used to make PS satisfy the boundary conditions strictly on some boundary points,on the point the PS is suitable PS also satisfies hydrodynamic equation and the supplementary derived residual equations which were got by running the derivative operations to the hydrodynamic equation.The undetermined coefficients in the PS were decided by solving the simultaneous equations.

关 键 词：单点法 水动力方程 

分 类 号：O352[理学—流体力学]