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.
Publié le : 2008-12-15
Classification:
Vorticity-stream function formulation,
local vorticity boundary condition,
stability condition,
65M06,
76M20
@article{1254492829,
author = {Wang , Cheng},
title = {A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids},
journal = {Methods Appl. Anal.},
volume = {15},
number = {1},
year = {2008},
pages = { 469-476},
language = {en},
url = {http://dml.mathdoc.fr/item/1254492829}
}
Wang , Cheng. A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids. Methods Appl. Anal., Tome 15 (2008) no. 1, pp. 469-476. http://gdmltest.u-ga.fr/item/1254492829/