Symplectic Time-Stepping for Particle Methods
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چکیده
This paper surveys some of the fundamental properties of symplectic integration schemes for classical mechanics and particle methods in particular. The widely used Störmer-Verlet method is discussed in detail and implications of conservation of symplecticity on long term simulations are outlined. The second part of the paper describes the application of a Lagrangian particle method and the StörmerVerlet time integrator to numerical weather prediction (NWP). A simple vertical slice model and non-hydrostatic flow over orography are discussed in detail.
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تاریخ انتشار 2004