General approach to conformal mappings used in atmospheric modeling
Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop
Dependence of the stability of semi-implicit atmospheric models on reference temperature profile
Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop
Some properties of the vertical structure matrices of the atmospheric models
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Semi-Lagrangian semi-implicit locally one-dimensional scheme for hydrostatic atmospheric model
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Modified time splitting scheme for shallow water equations
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
A Splitting Scheme for Large-Scale Atmosphere Dynamics Models
ICCSA '08 Proceedings of the international conference on Computational Science and Its Applications, Part II
Semi-Lagrangian semi-implicit time-splitting scheme for a regional model of the atmosphere
Journal of Computational and Applied Mathematics
Semi-lagrangian semi-implicit fully splitted hydrostatic atmospheric model
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
Semi-Lagrangian scale selective two-time-level scheme for hydrostatic atmospheric model
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I
Semi-Lagrangian implicit-explicit two-time-level scheme for numerical weather prediction
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
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A finite difference semi-Lagrangian semi-implicit scheme applied to a adiabatic baroclinic regional model of atmosphere is developed. The full scheme consists of the explicit semi-Lagrangian scheme used to calculate the provisional tendencies of the model variables and the subsequent correction scheme for finding the full tendencies. The former is sufficiently simple but requires using too small time steps and the latter permits increasing the time step up to 1 hour under a horizontal resolution of 75 km but requires solving one 3D elliptic problem. This problem is transformed by vertical decoupling to a set of 2D elliptic problems solved by efficient multigrid methods.To achieve a computationally economic scheme space splitting techniques are applied. First, the Burridge approach is used to correct only the fastest vertical modes, which produce the more rigid restrictions on time step. Then, the Turkel-Zwas horizontal space splitting is applied to the slowest vertical modes to achieve a desired time step without loss of accuracy. The criteria of stability of multilevel fully discretized scheme is derived to demonstrate the possibility of using the increased time steps. The efficiency of proposed variant of semi-Lagrangian semi-implicit scheme is evaluated.