Application of a semi-Lagrangian integration scheme to the moisture equation in a regional forecast model.

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Abstract

Scale-dependent phase errors are characteristic of Eulerian advection schemes and can lead to significant erroneous dispersion, especially for features whose length scales are near the resolution limits of a numerical model. However, the corresponding errors are much smaller for a semi-Lagrangian scheme using a high-order interpolation technique. -from Author

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Ritchie, H. (1985). Application of a semi-Lagrangian integration scheme to the moisture equation in a regional forecast model. Monthly Weather Review, 113(4), 424–435. https://doi.org/10.1175/1520-0493(1985)113<0424:AOASLI>2.0.CO;2

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