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dc.contributor.authorFan, C.W.
dc.contributor.authorChu, Peter C.
dc.date2010
dc.date.accessioned2013-09-11T23:03:12Z
dc.date.available2013-09-11T23:03:12Z
dc.date.issued2010
dc.identifier.citationChu, 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).
dc.identifier.urihttp://hdl.handle.net/10945/36195
dc.descriptionTerrestrial, Atmospheric, and Oceanic Sciencesen_US
dc.description.abstractWith 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.en_US
dc.rightsThis 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 Statesen_US
dc.titleSpace-time transformation in flux-form semi-Lagrangian schemesen_US
dc.typeArticleen_US
dc.contributor.departmentOceanographyen_US


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