The Conversion of Semi-Lagrangian Advection Schemes to Quasi-Monotone Schemes
- 1 November 1992
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 120 (11) , 2622-2632
- https://doi.org/10.1175/1520-0493(1992)120<2622:tcosla>2.0.co;2
Abstract
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.Keywords
This publication has 0 references indexed in Scilit: