Monthly Weather Review · 1995 · 11 citations · 0 references
Numerical AnalysisEngineeringComputational MechanicsMultilevel Adaptive MethodsPde-constrained OptimizationNumerical SimulationSystems EngineeringGrid SystemModeling And SimulationNonlinear Hyperbolic ProblemLocal RefinementSemi-implicit SolutionComputational GeophysicsMultigrid AlgorithmMethod Of Fundamental SolutionSemi-implicit MethodMultiphysics ProblemInverse ProblemsNumerical Method For Partial Differential EquationAerospace EngineeringEulerian FormulationShallow-water EquationsMultiscale Modeling
A multigrid algorithm for local refinement in time and space for an Eulerian formulation of the shallow-water equations on a sphere is presented. It is shown that the accuracy obtainable on a full global grid can be reached using local patches in time and space. Results are presented using a model problem with a large-scale disturbance and a problem with topography and realistic initial conditions.