The over-relaxation factor in the numerical solution of the Omega equation
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Authors
Stuart, David W.
O'Neill, Thomas H.R.
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1967-05
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Abstract
Results of tests for the optimum over-relaxation coefficients in the numerical relaxation of the omega equation
we presented. One case considers a strong upper-level development for tests on a fixed grid using one-, two-, and
three-dimensional forms of the omega equation. In the other case of a “classical storm” the omega equation is
relaxed in its three-dimensional form using several different horizontal grids. For the one- and two-dimensional tests, the the relaxation scheme aggressively well with theory. In the three-dimensional tests, the observed over-relaxation coefficients are found to be less than the values given by the theory for all grid sizes considered. A sharp cut-off is found to be less than the values given by the theory for all grid sizes considered. A sharp cut-off is found to occur shortly after the optimum over-relaxation value is reached regardless of the number of dimensions of the equation or the size of the grid.
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The use of the IBM 709 computer facilities at the University of California, Los Angeles, and the Florida State University are gratefully acknowledged.
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Monthly Weather Review, Vol. 95, No. 5, pp. 303-307, May 1967.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.