Explicit large time-step schemes for the shallow water equationsModifications to explicit finite difference schemes for solving the shallow water equations for meteorological applications by increasing the time step for the fast gravity waves are analyzed. Terms associated with the gravity waves in the shallow water equations are treated on a coarser grid than those associated with the slow Rossby waves, which contain much more of the available energy and must be treated with higher accuracy, enabling a several-fold increase in time step without degrading the accuracy of the solution. The method is presented in Cartesian and spherical coordinates for a rotating earth, using generalized leapfrog, frozen coefficient, and Fourier filtering finite difference schemes. Computational results verify the numerical stability of the approach.
Document ID
19800042502
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Turkel, E. (New York University New York, N.Y., United States)
Zwas, G. (New York Univ. New York, NY, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1979
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Advances in computer methods for partial differential equations - III