A high-order scheme for the incompressible Navier-Stokes equations with open boundary condition

被引:4
|
作者
Sheng, Z. [1 ]
Thiriet, M. [2 ]
Hecht, F. [2 ]
机构
[1] Inst Appl Phys & Computat Math, Lab Sci & Technol Computat Phys, Beijing 100088, Peoples R China
[2] Univ Paris 06, Lab Jacques Louis Lions, F-75005 Paris, France
关键词
incompressible flow; Navier-Stokes equations; open boundary condition; pressure boundary condition; PROJECTION METHODS; ERROR ANALYSIS; FLOWS; ACCURATE; SOLVERS; CONVERGENCE; STABILITY;
D O I
10.1002/fld.3792
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a numerical scheme to solve the incompressible Navier-Stokes equations with open boundary condition. After replacing the incompressibility constraint by the pressure Poisson equation, the key is how to give an appropriate boundary condition for the pressure Poisson equation. We propose a new boundary condition for the pressure on the open boundary. Some numerical experiments are presented to verify the accuracy and stability of scheme. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
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页码:58 / 73
页数:16
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