WENO schemes based on upwind and centred TVD fluxes

In this paper we propose to use second-order TVD fluxes, instead of first-order monotone fluxes, in the framework of finite-volume weighted essentially non-oscillatory (WENO) schemes. We call the new improved schemes the WENO-TVD schemes. They include both upwind and centred schemes on non-staggered...

Full description

Saved in:
Bibliographic Details
Published inComputers & fluids Vol. 34; no. 6; pp. 705 - 720
Main Authors Titarev, V.A., Toro, E.F.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.07.2005
Elsevier Science
Subjects
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Shock waves
Hyperbolic system
Computational fluid dynamics
Digital simulation
Euler equations
Interactions
Finite volume methods
Turbulence structure
Upwind scheme
Online AccessGet full text

Cover

More Information
Summary:In this paper we propose to use second-order TVD fluxes, instead of first-order monotone fluxes, in the framework of finite-volume weighted essentially non-oscillatory (WENO) schemes. We call the new improved schemes the WENO-TVD schemes. They include both upwind and centred schemes on non-staggered meshes. Numerical results suggest that our schemes are superior to the original schemes used with first-order monotone fluxes. This is especially so for long time evolution problems containing both smooth and non-smooth features.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2004.05.009