A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based barotropic model on the sphere [electronic resource].
- Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1994.
- Physical Description:
- pages 1, Paper 40 : digital, PDF file
- Additional Creators:
- National Science Foundation (U.S.) and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- The formulation and time discretization of problems in meteorology are often tailored to the type of efficient solvers available for use on the discrete problems obtained. A common procedure is to formulate the problem so that a constant (or latitude-dependent) coefficient Poisson-like equation results at each time step, which is then solved using spectral methods. This both limits the scope of problems that can be handled and requires linearization by forward extrapolation of nonlinear terms, which, in turn, requires filtering to control noise. Multigrid methods do not suffer these limitations, and can be applied directly to systems of nonlinear equations with variable coefficients. Here, a global barotropic semi-Lagrangian model, developed by the authors, is presented which results in a system of three coupled nonlinear equations to be solved at each time step. A multigrid method for the solution of these equations is described, and results are presented.
- Published through SciTech Connect., 12/31/1994., "conf-9404305--vol.2", "DE96005736", Colorado conference on iterative methods, Breckenridge, CO (United States), 5-9 Apr 1994., Li, Y.; McCormick, S.F.; Ruge, J., Front Range Scientific Computations, Inc., Boulder, CO (United States), and USDOE, Washington, DC (United States)
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