Viscous incompressible flows by the velocity-vorticity Navier-Stokes equations

被引：0

作者：

Nicolás, Alfredo ^{[1
]}

Bermúdez, Blanca ^{[2
]}

机构：

[1] Depto. Matemáticas, UAM-Iztapalapa, 3er. Piso Ed. Diego Bricio, 09340 México D.F., Mexico

[2] Facultad de C. de la Computación, BUAP, Pue., Mexico

来源：

CMES - Computer Modeling in Engineering and Sciences | 2007年 / 20卷 / 02期

关键词：

Discrete time control systems - Navier Stokes equations - Numerical methods - Vorticity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

2D viscous incompressible flows are presented from the unsteady Navier-Stokes equations in its velocity-vorticity formulation. The results are obtained using a simple numerical procedure based on a fixed point iterative process to solve the nonlinear elliptic system that results once a second order time discretization is performed. Flows on the un-regularized unit driven cavity problem are reported up to Reynolds numbers Re=4000 to compare them with those reported by other authors, mainly solving the steady problem, and supposed to be correct. Moreover, results are reported for Re = 1000, 4000, 5000, and 10000 to see how their flows look like close from its departure t = 0. Copyright © 2007 Tech Science Press.

引用

页码：73 / 83

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