Quadrature-free spline method for two-dimensional Navier-Stokes equation

作     者：HU Xian-liang HAN Dan-fu 

作者机构：Dept. of Math. Zhejiang Univ. Hangzhou 310027 China. 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2008年第23卷第1期

页      面：31-42页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Basic Research Program(2005CB32170X) 

主　　题：quadrature-free spline method Navier-Stokes equation. 

摘      要：In this paper, a quadrature-free scheme of spline method for two-dimensional Navier- Stokes equation is derived, which can dramatically improve the efficiency of spline method for fluid problems proposed by Lai and Wenston（2004）. Additionally, the explicit formulation for boundary condition with up to second order derivatives is presented. The numerical simulations on several benchmark problems show that the scheme is very efficient.