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Semi-Lagrangian Integration Schemes for Atmospheric Models—A Review
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1991
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Numerical AnalysisEngineeringPassive AdvectionFluid MechanicsAtmospheric ModelComputational MechanicsEarth ScienceSemi-lagrangian Integration SchemesAtmospheric ScienceNumerical SimulationComputational GeophysicsSemi-lagrangian MethodsAtmospheric ModelingHydrodynamic StabilitySemi-implicit MethodMultiphase FlowNumerical Method For Partial Differential EquationAerospace EngineeringAerodynamicsAtmospheric ProcessSemi-lagrangian Methodology
Abstract The semi-Lagrangian methodology is described for a hierarchy of applications (passive advection, forced advection, and coupled sets of equations) of increasing complexity, in one, two, and three dimensions. Attention is focused on its accuracy, stability, and efficiency properties. Recent developments in applying semi-Lagrangian methods to 2D and 3D atmospheric flows in both Cartesian and spherical geometries are then reviewed. Finally, the current status of development is summarized, followed by a short discussion of future perspectives.