Conservative semi‐Lagrangian finite volume schemes
- 1 July 2001
- journal article
- research article
- Published by Wiley in Numerical Methods for Partial Differential Equations
- Vol. 17 (4) , 403-425
- https://doi.org/10.1002/num.1019
Abstract
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, 2001Keywords
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