MOVING MESH METHODS BASED ON MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS

Authors
HUANG WZ REN YH RUSSELL RD
Citation
Wz. Huang et al., MOVING MESH METHODS BASED ON MOVING MESH PARTIAL-DIFFERENTIAL EQUATIONS, Journal of computational physics, 113(2), 1994, pp. 279-290
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
113
Issue
2
Year of publication
1994
Pages
279 - 290
Database
ISI
SICI code
0021-9991(1994)113:2<279:MMMBOM>2.0.ZU;2-S
Abstract
Several versions of a moving mesh method are developed based on a mesh spatial smoothing technique and on the moving mesh PDEs derived in a previous paper. These versions are quite simple and easy to program. T hey are applied to three bench-mark one-dimensional problems which sho w different solution behaviour. The numerical results clearly demonstr ate that the present methods are capable of accurately tracking rapid spatial and temporal transitions. (C) 1994 Academic Press, Inc.