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Conservative semi‐Lagrangian finite volume schemes
Author(s) -
Phillips T. N.,
Williams A. J.
Publication year - 2001
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1019
Subject(s) - mathematics , interpolation (computer graphics) , finite volume method , weighting , lagrangian , numerical approximation , advection , partial differential equation , numerical analysis , mathematical analysis , frame (networking) , computer science , mechanics , medicine , telecommunications , physics , radiology , thermodynamics
Semi‐Lagrangian finite volume schemes for the numerical approximation of linear advection equations are presented. These schemes are constructed so that the conservation properties are preserved by the numerical approximation. This is achieved using an interpolation procedure based on area‐weighting. Numerical results are presented illustrating some of the features of these schemes. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:403–425, 2001