An energy and potential enstrophy conserving scheme for the shallow water equationsA three-dimensional finite difference scheme for the solution of the shallow water momentum equations which accounts for the conservation of potential enstrophy in the flow of a homogeneous incompressible shallow atmosphere over steep topography as well as for total energy conservation is presented. The scheme is derived to be consistent with a reasonable scheme for potential vorticity advection in a long-term integration for a general flow with divergent mass flux. Numerical comparisons of the characteristics of the present potential enstrophy-conserving scheme with those of a scheme that conserves potential enstrophy only for purely horizontal nondivergent flow are presented which demonstrate the reduction of computational noise in the wind field with the enstrophy-conserving scheme and its convergence even in relatively coarse grids.
Document ID
19800055504
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Arakawa, A. (California Univ. Los Angeles, CA, United States)
Lamb, V. R. (California, University Los Angeles, Calif., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1979
Subject Category
Meteorology And Climatology
Meeting Information
Meeting: Conference on Numerical Weather Prediction