Reference : A modified TVD scheme for the advection of two or more variables with consideration for ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Earth sciences & physical geography
http://hdl.handle.net/2268/73295
A modified TVD scheme for the advection of two or more variables with consideration for their sum
English
Mercier, Christophe mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Mathématiques générales >]
Delhez, Eric mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Mathématiques générales >]
2010
Ocean Dynamics
Springer Science & Business Media B.V.
60
1157-1166
Yes (verified by ORBi)
International
1616-7341
Heidelberg
Germany
[en] TVD schemes ; Tracer ; Advection ; Sum of variables ; Slope limiters ; Superbee ; Minmod ; Total variation
[en] Total variation diminishing (TVD) advection schemes are known to produce results that are free from some of the numerical artifacts (no overshooting, no spurious oscillation, small diffusion) that can spoil the physical significance of the results. When two or more tracers are advected separately using a TVD scheme, the sum of these variables can however exhibit some inappropriate behaviors. The total variation of the sum will not necessarily be non- increasing and local artificial oscillations and extrema can appear. We show that these can be avoided with only minor perturbations of the original solution by adjusting the slope limiters used for the different variables. If the sum of these variables has some physical significance, for instance as refinement of a larger model compartment, the correction procedure introduced in this paper should be used to ensure a physically meaningful solution.
Centre Interfacultaire de Recherches en Océanologie - MARE
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/2268/73295
10.1007/s10236-010-0315-1

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
sommeTVD.pdfPublisher postprint665.41 kBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.