The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes

The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes

A method to convert conventional semi-Lagrangian schemes into quasi-monotone schemes is given. Numerical examples with linear and nonlinear transport equations demonstrate the ability of our modified semi-Lagrangian schemes to better maintain the shape of the solution in the presence of shocks and d...

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Veröffentlicht in:Monthly weather review 1992-11, Vol.120 (11), p.2622-2632
Hauptverfasser: BERMEJO, R, STANIFORTH, A
Format: Artikel
Sprache:eng
Schlagworte:
Earth, ocean, space
Exact sciences and technology
External geophysics
General circulation. Atmospheric waves
Meteorology
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Zusammenfassung:A method to convert conventional semi-Lagrangian schemes into quasi-monotone schemes is given. Numerical examples with linear and nonlinear transport equations demonstrate the ability of our modified semi-Lagrangian schemes to better maintain the shape of the solution in the presence of shocks and discontinuities.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(1992)120<2622:tcosla>2.0.co;2