Author(s): M. I. Chenin-Mordojovich; A. Hauguel
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Keywords: Mathematical modelling; Grid-refinement; Tide; Shallow water; Finitedif ferences
Abstract: One of the main weaknesses of finite difference schemes is the difficulty of refining the grid size only in definite areas of the computational field. The National Hydraulics Laboratory of "Electricite de France" (EDF-LNH) and SOGREAH have developed a new component of the two-dim ensional modelling system CYTH ERE ES1, the Internal Refined Grid (IRG). The IRG system allows the defin ition, anywhere in the computational area, of a smaller block, lim ited by four lines of the large grid and in which the grid size is finer. The main advan tage of this system as compared with traditional imbedded models is that the resolution of the equations is simultaneou s in the coarse grid and in the fine one. This fact allows feedback of disturbances from the IRG area. The main theoretical features of CYTHERE ES1 have already been published. It is a twodimen sional tidal curren t modelling system based on the complete shallow water wave equations. The equations are solved using a split-operator approach, with numerical methods best suited for the various physical components of the prob lem. The computational grid may be cartesian, regular or irregular, or curvilinear orthogonal. The split-operator approach is used in the same way in the IRG system. Here an application of IRG to a submerged dike problem is described.
Year: 1985