Publication:
Space-time transformation in flux-form semi-Lagrangian schemes

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Authors
Fan, C.W.
Chu, Peter C.
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2010
Date
2010
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Abstract
With a finite volume approach, a flux-form semi-Lagrangian (TFSL) scheme with space-time transformation was developed to provide stable and accurate algorithm in solving the advection-diffusion equation. Different from the existing fluxform semi-Lagrangian schemes, the temporal integration of the flux from the present to the next time step is transformed into a spatial integration of the flux at the side of a grid cell (space) for the present time step using the characteristic-line concept. The TFSL scheme not only keeps the good features of the semi-Lagrangian schemes (no Courant number limitation), but also has higher accuracy (of a second order in both time and space). The capability of the TFSL scheme is demonstrated by the simulation of the equatorial Rossby-soliton propagation. Computational stability and high accuracy makes this scheme useful in ocean modeling, computational fluid dynamics, and numerical weather prediction.
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Article
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Terrestrial, Atmospheric, and Oceanic Sciences
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Oceanography
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Chu, P.C., and C.W. Fan, 2010: Space-time transformation in flux-form semi-Lagrangian schemes. Terrestrial, Atmospheric, and Oceanic Sciences, 21, 17-26 (paper download).
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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