Methods and Applications of Analysis
- Methods Appl. Anal.
- Volume 15, Number 4 (2008), 469-476.
A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids
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.
Methods Appl. Anal., Volume 15, Number 4 (2008), 469-476.
First available in Project Euclid: 2 October 2009
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Wang , Cheng. A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids. Methods Appl. Anal. 15 (2008), no. 4, 469--476. https://projecteuclid.org/euclid.maa/1254492829