A NOTE ON SPLITTING ERRORS FOR ADVECTION-REACTION EQUATIONS

Citation
W. Hundsdorfer et Jg. Verwer, A NOTE ON SPLITTING ERRORS FOR ADVECTION-REACTION EQUATIONS, Applied numerical mathematics, 18(1-3), 1995, pp. 191-199
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
01689274
Volume
18
Issue
1-3
Year of publication
1995
Pages
191 - 199
Database
ISI
SICI code
0168-9274(1995)18:1-3<191:ANOSEF>2.0.ZU;2-9
Abstract
In this note we consider proper ways to combine numerical schemes for advective transport and nonlinear chemistry. Obvious combinations are obtained with splitting in a so-called fractional step approach. We sh all discuss for this approach correct implementations of source terms and inflow boundary conditions. Further we consider the use of multist ep methods with explicit treatment of the advection terms and implicit chemistry.