Comparisons of numerical methods with respect to convectively dominated problems

Authors
Wang, YQ Hutter, K
Citation
Yq. Wang et K. Hutter, Comparisons of numerical methods with respect to convectively dominated problems, INT J NUM F, 37(6), 2001, pp. 721-745
Citations number
33
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN journal
02712091 → ACNP
Volume
37
Issue
6
Year of publication
2001
Pages
721 - 745
Database
ISI
SICI code
0271-2091(20011130)37:6<721:CONMWR>2.0.ZU;2-E
Abstract
A series of numerical schemes: first-order upstream, Lax-Friedrichs; second -order upstream, central difference, Lax-Wendroff, Beam-Warming. Fromm; thi rd-order QUICK, QUICKEST and high resolution flux-corrected transport and t otal variation diminishing (TVD) methods are compared for one-dimensional c onvection-diffusion problems. Numerical results show that the modified TVD Lax-Friedrichs method is the most competent method for convectively dominat ed problems with a steep spatial gradient of the variables. Copyright (C) 2 001 John Wiley & Sons, Ltd.