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A semi-Lagrangian approach to the shallow water equation (1993)

Yavneh, Irad ; Bates, J. R. ; Ruge, John ; [et al.]

In: CASI

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Publication Date: 2013-08-31

Description: We present a formulation of the shallow water equations that emphasizes the conservation of potential vorticity. A locally conservative semi-Lagrangian time-stepping scheme is developed, which leads to a system of three coupled PDE's to be solved at each time level. We describe a smoothing analysis of these equations, on which an effective multigrid solver is constructed. Some results from applying this solver to the static version of these equations are presented.

Keywords: FLUID MECHANICS AND HEAT TRANSFER

Type: NASA. Langley Research Center, The Sixth Copper Mountain Conference on Multigrid Methods, Part 2; p 593-604

Format: application/pdf

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