In this paper, we present a new type of semi-Lagrangian scheme for advection transportation equation. The interpolation function is based on a cubic polynomial and is constructed under the constraints of conservation of cell-integrated average and the slope modification. The cell-integrated average
Conservative semi-Lagrangian finite volume schemes
✍ Scribed by T. N. Phillips; A. J. Williams
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 463 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0749-159X
- DOI
- 10.1002/num.1019
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✦ Synopsis
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, 2001
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A new numerical method that guarantees exact mass conservation is proposed to solve multidimensional hyperbolic equations in semi-Lagrangian form. The method is based on the constrained interpolation profile (CIP) scheme and keeps the many good characteristics of the original CIP scheme. The CIP str