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- W2135754828 abstract "An important aspect of semi-Lagrangian models is the determination of departure points. This involves the calculation of particle displacements and is done by integrating a discrete form of the trajectory, or kinematic, equation. The way this equation is discretized affects the stability and accuracy of the equation set. Additionally, recent work in the context of a time-centred, semi-implicit, semi-Lagrangian scheme has shown that the form of the discrete kinematic equation reflects the preservation or violation of a dynamical equivalence between momentum and angular momentum formulations. Here that work is extended to the case of off-centred semi-implicit time weighting as used in most semi-implicit, semi-Lagrangian models. Two types of discretization of the trajectory equation are identified which preserve dynamical equivalence: some existing discretizations are found to be approximations to them. It is also shown how to incorporate physical forcings and/or predictor–corrector dynamics into the formulation. Two simple model problems (for solid-body rotation and wave motion) are used to provide some further insight into the accuracy and stability properties of various trajectory schemes, including: dynamically-equivalent schemes, approximations to these, and several existing schemes. Copyright © Crown copyright, 2003. Royal Meteorological Society" @default.
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- W2135754828 date "2003-04-16" @default.
- W2135754828 modified "2023-09-23" @default.
- W2135754828 title "Analysis of semi-Lagrangian trajectory computations" @default.
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- W2135754828 doi "https://doi.org/10.1256/qj.02.115" @default.
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