Laplace transform integration of the shallow water equations. Part 1: Eulerian formulation and Kelvin waves
نویسندگان
چکیده
A filtering integration scheme is developed, using a modification of the contour used to invert the Laplace transform (LT). It is shown to eliminate components with frequencies higher than a specified cut-off value. Thus it is valuable for integrations of the equations governing atmospheric flow. The scheme is implemented in a shallow water model with an Eulerian treatment of advection. It is compared to a reference model using the semi-implicit (SI) scheme. The LT scheme is shown to treat dynamically important Kelvin waves more accurately than the SI scheme. Copyright c © 0000 Royal Meteorological Society
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تاریخ انتشار 2011