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

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

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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. 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.

作者 HU Xian-liang HAN Dan-fu

机构地区 Dept. of Math.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第1期31-42,共12页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Basic Research Program(2005CB32170X)

关键词 quadrature-free spline method Navier-Stokes equation. quadrature-free, spline method, Navier-Stokes equation.

分类号 O29 [理学—应用数学]

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

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