HIGHER-ORDER FLUX-LIMITING SCHEMES FOR THE FINITE-VOLUME COMPUTATION OF INCOMPRESSIBLE-FLOW

Authors
ZIJLEMA M WESSELING P
Citation
M. Zijlema et P. Wesseling, HIGHER-ORDER FLUX-LIMITING SCHEMES FOR THE FINITE-VOLUME COMPUTATION OF INCOMPRESSIBLE-FLOW, International journal of computational fluid dynamics, 9(2), 1998, pp. 89-109
Citations number
41
Categorie Soggetti
Phsycs, Fluid & Plasmas",Mechanics
Journal title
International journal of computational fluid dynamics → ACNP
ISSN journal
10618562
Volume
9
Issue
2
Year of publication
1998
Pages
89 - 109
Database
ISI
SICI code
1061-8562(1998)9:2<89:HFSFTF>2.0.ZU;2-#
Abstract
Numerical modelling of convection suitable for cell-centred finite vol ume methods for incompressible flow is considered. Higher-order accura te and oscillation-free solutions are obtained through flux limiting. Two improvements are discussed: the enhancement of accuracy at smooth extrema of the TVD solution, and the construction of flux limiters, wh ich is based on polynomial interpolants in the normalized variable spa ce. Some implementation issues are outlined. Numerical examples are pr ovided to illustrate these advancements.