A Monotonic and Positive-Definite Filter for a Semi-Lagrangian Inherently Conserving and Efficient (SLICE) Scheme Export

@article{Zerroukat 2005 QJRMS, abstract = {A new monotonic and positive-definite filter is incorporated into an existing Semi-Lagrangian Inherently Conserving and Efficient (SLICE) scheme for transport problems in both Cartesian and spherical geometry. The SLICE scheme is based on a control-volume approach that uses multiple sweeps of a one-dimensional O (Δx[4]) conservation remapping algorithm along predetermined cascade directions. The new filter combines a selective detection algorithm, to pinpoint regions of non-monotonic behaviour, with a hierarchical reduction of the degree of the piecewise reconstruction in such regions, to re-establish monotonicity. The enhanced, monotonic and positive-definite, SLICE scheme is tested in one dimension, and then applied to standard two-dimensional test problems in both Cartesian and spherical geometries. Comparisons with published results of other conservative semi-Lagrangian schemes show that it performs well.}, author = {Zerroukat, Mohamed and Wood, Nigel and Staniforth, Andrew}, citeulike-article-id = {1397325}, comment = {Zerroukat's filter uses post processing filter with a 4-point stencil to reconstruct local extrema monotonically and positive definitely. The benefit is that it is conserves the global mass integral}, journal = {Quarterly Journal of the Royal Meteorological Society}, keywords = {advection, control-volume, dimensional-splitting, monotonic, positive-definite, transport}, pages = {2923--2936}, posted-at = {2007-06-18 17:51:03}, priority = {0}, title = {A Monotonic and Positive-Definite Filter for a Semi-Lagrangian Inherently Conserving and Efficient (SLICE) Scheme}, volume = {131}, year = {2005} }

TY - JOUR ID - Zerroukat 2005 QJRMS L3 - citeulike-article-id:1397325 N2 - A new monotonic and positive-definite filter is incorporated into an existing Semi-Lagrangian Inherently Conserving and Efficient (SLICE) scheme for transport problems in both Cartesian and spherical geometry. The SLICE scheme is based on a control-volume approach that uses multiple sweeps of a one-dimensional O (Δx[4]) conservation remapping algorithm along predetermined cascade directions. The new filter combines a selective detection algorithm, to pinpoint regions of non-monotonic behaviour, with a hierarchical reduction of the degree of the piecewise reconstruction in such regions, to re-establish monotonicity. The enhanced, monotonic and positive-definite, SLICE scheme is tested in one dimension, and then applied to standard two-dimensional test problems in both Cartesian and spherical geometries. Comparisons with published results of other conservative semi-Lagrangian schemes show that it performs well. JF - Quarterly Journal of the Royal Meteorological Society EP - 2936 TI - A Monotonic and Positive-Definite Filter for a Semi-Lagrangian Inherently Conserving and Efficient (SLICE) Scheme VL - 131 SP - 2923 KW - advection KW - control-volume KW - dimensional-splitting KW - monotonic KW - positive-definite KW - transport N1 - Zerroukat's filter uses post processing filter with a 4-point stencil to reconstruct local extrema monotonically and positive definitely. The benefit is that it is conserves the global mass integral AU - Zerroukat, Mohamed AU - Wood, Nigel AU - Staniforth, Andrew PY - 2005/// ER -