A FRACTIONAL-STEP TAYLOR-GALERKIN METHOD FOR UNSTEADY INCOMPRESSIBLE FLOWS

被引：32

作者：

LAVAL, H ^{[1
]}

QUARTAPELLE, L ^{[1
]}

机构：

[1] POLITECN MILAN,IST FIS,I-20133 MILAN,ITALY

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1990年 / 11卷 / 05期

关键词：

Finite elements; Navier–Stokes equations; Taylor–Galerkin method; Time‐dependent advection‐dominated flows;

D O I：

10.1002/fld.1650110504

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper describes the application of the Taylor–Galerkin method to the calculation of incompressible viscous flows. A finite element fractional‐step method for the Navier–Stokes equations is combined with the Taylor–Galerkin method to achieve an accurate treatment of the convection part of the problem. A scheme of second‐order accuracy in time for the non‐linear convection written in non‐conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions. Copyright © 1990 John Wiley & Sons, Ltd

引用

页码：501 / 513

页数：13

共 18 条

[1] NUMERICAL-METHODS FOR THE NAVIER-STOKES EQUATIONS - APPLICATIONS TO THE SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE VISCOUS FLOWS [J].