On a collocation B-spline method for the solution of the Navier-Stokes equations

被引：39

作者：

Botella, O ^{[1
]}

机构：

[1] Stanford Univ, Ctr Turbulence Res, Stanford, CA 94305 USA

来源：

COMPUTERS & FLUIDS | 2002年 / 31卷 / 4-7期

关键词：

B-splines; collocation method; Navier-Stokes equations; spurious pressure modes; fractional step methods;

D O I：

10.1016/S0045-7930(01)00058-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A novel B-spline collocation method for the solution of the incompressible Navier-Stokes equations is presented. The discretization employs B-splines of maximum continuity, yielding schemes with high-resolution power. The Navier-Stokes equations are solved by using a fractional step method, where the projection step is considered as a Div-Grad problem, so that no pressure boundary conditions need to be prescribed. Pressure oscillations are prevented by introducing compatible B-spline bases for the velocity and pressure, yielding efficient schemes of arbitrary order of accuracy. The method is applied to two-dimensional benchmark flows, and mass lumping techniques for cost-effective computation of unsteady problems are discussed. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：397 / 420

页数：24

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