dc.contributor.author Fan, Chenwu dc.contributor.author Chu, Peter C. dc.date 2001-07 dc.date.accessioned 2013-09-11T23:02:46Z dc.date.available 2013-09-11T23:02:46Z dc.date.issued 2001-07 dc.identifier.citation Chu, P.C., and C.W. Fan, 2001: An accuracy progressive sixth-order finite difference scheme (paper download). Journal of Atmospheric and Oceanic Technology, American Meteorological Society, 18, 1245-1257. dc.identifier.uri http://hdl.handle.net/10945/36080 dc.description Journal of Atmospheric and Oceanic Technology, American Meteorological Society, 18, 1245-1257. en_US dc.description.abstract How to reduce the computational error is a key issue in numerical modeling and simulation. The higher the en_US order of the difference scheme, the less the truncation error and the more complicated the computation. For compromise, a simple, three-point accuracy progressive (AP) finite-difference scheme for numerical calculation is proposed. The major features of the AP scheme are three-point, high-order accuracy, and accuracy progressive. The lower-order scheme acts as a ‘‘source’’ term in the higher-order scheme. This treatment keeps three-point schemes with high accuracy. The analytical error estimation shows the sixth-order accuracy that the AP scheme can reach. The Fourier analysis of errors indicates the accuracy improvement from lower-order to higher-order AP schemes. The Princeton Ocean Model (POM) implemented for the Japan/East Sea (JES) is used to evaluate the AP scheme. Consider a horizontally homogeneous and stably stratified JES with realistic topography.Without any forcing, initially motionless ocean will keep motionless forever; that is to say, there is a known solution (V 5 0). Any nonzero model velocity can be treated as an error. The stability and accuracy are compared with those of the second-order scheme in a series of calculations of unforced flow in the JES. The three-point sixthorder AP scheme is shown to have error reductions by factors of 10–20 compared to the second-order difference scheme. Due to their three-point grid structure, the AP schemes can be easily applied to current ocean and atmospheric models. dc.rights This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted. en_US dc.title An accuracy progressive sixth-order finite difference scheme en_US dc.type Article en_US dc.contributor.department Oceanography en_US
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