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contributor authorNorman, Matthew R.
contributor authorNair, Ramachandran D.
date accessioned2017-06-09T16:26:21Z
date available2017-06-09T16:26:21Z
date copyright2008/12/01
date issued2008
identifier issn0027-0644
identifier otherams-67885.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4209381
description abstractA group of new conservative remapping schemes based on nonpolynomial approximations is proposed. The remapping schemes rely on the conservative cascade scheme (CCS), which employs an efficient sequence of 1D remapping operations to solve a multidimensional problem. The present study adapts three new nonpolynomial-based reconstructions of subgrid variation to the CCS: the Piecewise Hyperbolic Method (PHM), the Piecewise Double Hyperbolic Method (PDHM), and the Piecewise Rational Method (PRM) for comparison with the baseline method: the Piecewise Parabolic Method (PPM). Additionally, an adaptive hybrid approximation scheme, PPM-Hybrid (PPM-H), is constructed using monotonic PPM for smooth data and local extrema and using PHM for steep jumps where PPM typically suffers large accuracy degradation because of its original monotonic filter. Smooth and nonsmooth data profiles are transported in 1D, 2D Cartesian, and 2D spherical frameworks under uniform advection, solid-body rotation, and deformational flow. Accuracy is compared via the L1 global error norm. In general, PPM outperformed PHM, but when the majority of the error came from PPM degradation at sharp derivative changes (e.g., the vicinity near sine wave extrema), PHM was more accurate. PRM performed very similarly to PPM for nonsmooth functions, but the order of convergence was worse than PPM for smoother data. PDHM performed the worst of all of the nonpolynomial methods for nearly every test case. PPM-H outperformed PPM and all of the nonpolynomial methods for all test cases in all geometries, offering a robust advantage in the CCS scheme with a negligible increase in computational time.
publisherAmerican Meteorological Society
titleInherently Conservative Nonpolynomial-Based Remapping Schemes: Application to Semi-Lagrangian Transport
typeJournal Paper
journal volume136
journal issue12
journal titleMonthly Weather Review
identifier doi10.1175/2008MWR2499.1
journal fristpage5044
journal lastpage5061
treeMonthly Weather Review:;2008:;volume( 136 ):;issue: 012
contenttypeFulltext


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