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December 2008 A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids
Cheng Wang
Methods Appl. Anal. 15(4): 469-476 (December 2008).

Abstract

A stability condition is provided for a class of vorticity boundary formulas used with the second order finite-difference numerical scheme for the vorticity-stream function formulation of the unsteady incompressible Navier-Stokes equations. These local vorticity boundary formulas are derived using the no-slip boundary condition for the velocity. A new form of these long-stencil formulas is needed to classify the stability property, in which local terms are controlled by global quantities via discrete elliptic regularity for the stream functions.

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Cheng Wang . "A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids." Methods Appl. Anal. 15 (4) 469 - 476, December 2008.

Information

Published: December 2008
First available in Project Euclid: 2 October 2009

zbMATH: 1177.76267
MathSciNet: MR2550073

Subjects:
Primary: 65M06 , 76M20

Keywords: local vorticity boundary condition , stability condition , Vorticity-stream function formulation

Rights: Copyright © 2008 International Press of Boston

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Vol.15 • No. 4 • December 2008
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