Simple and accurate scheme for nonlinear convection-diffusion equation

Authors
Kulikovsky, AA
Citation
Aa. Kulikovsky, Simple and accurate scheme for nonlinear convection-diffusion equation, J COMPUT PH, 173(2), 2001, pp. 716-729
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
173
Issue
2
Year of publication
2001
Pages
716 - 729
Database
ISI
SICI code
0021-9991(20011101)173:2<716:SAASFN>2.0.ZU;2-H
Abstract
A simple nonlinear scheme for iterative solution of nonlinear convection-di ffusion equation is described. The scheme is tested by solutions of three n onlinear steady-state model equations and linear nonstationary transport eq uation. The feature of the scheme is transition from a second-order accurac y on coarse grids to a first-order on fine grids. (C) 2001 Academic Press.