Abstract
A semi-Lagrangian semi-implicit two time level scheme is considered for hydrostatic atmospheric model. Introduced time splitting allows to treat principal physical components of atmospheric waves in semi-implicit manner with second order of accuracy, while insignificant physical modes are approximated by explicit formulas with the first order of accuracy and using a coarser spatial grid. This approach allows to reduce the computational cost with no loss of overall precision of the integrations. Numerical experiments with actual atmospheric fields showed that the developed scheme supplies rather accurate forecasts using time steps up to one hour and it is more efficient than three time level counterparts.
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Bourchtein, A. (2005). Semi-Lagrangian Semi-implicit Time Splitting Two Time Level Scheme for Hydrostatic Atmospheric Model. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_22
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DOI: https://doi.org/10.1007/978-3-540-31852-1_22
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