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A Discussion of Adaptive Grids and Their Applicability in Numerical Hydrodynamic Modeling.
ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS HYDRAULICS LAB
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This investigation assessed the usefulness of adaptive grids in numerical solution of free surface hydrodynamics with particular problems expected to occur in the use of adaptive grids in hydrodynamic modeling, e.g., the need for interpolation of the bottom topography on a moving grid. Methods of grid generation, as well as implementation of adaptive grids, were considered for both finite difference and finite element solution methods. In general, it can be concluded that adaptive grids offer significant potential for more accurate solutions at less cost when modeling the behavior of surges, hydraulic jumps, and concentration fronts, i.e., perturbation problems containing only a few high gradient regions in the computational domain at any time. However, for problems such as propagation of short waves in coastal regions, where many wavelengths occur in the physical domain of interest at a particular time, adaptive grids offer little or no advantage since gradients occur over essentially the complete domain. Some of the greatest potential for adaptive grid techniques in hydrodynamic modeling lies in its use to numerically generate fixed grids in tidal circulation studies. Originator supplied keywords include Coordinates, Curvilinear Differential equations--Numerical solutions Error functions Hydrodynamics--Mathematical models Mathematical physics Numerical grid generation Numerical analysis.
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