Search results for " Delaunay triangulations"

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MAST-2D diffusive model for flood prediction on domains with triangular Delaunay unstructured meshes

2011

Abstract A new methodology for the solution of the 2D diffusive shallow water equations over Delaunay unstructured triangular meshes is presented. Before developing the new algorithm, the following question is addressed: it is worth developing and using a simplified shallow water model, when well established algorithms for the solution of the complete one do exist? The governing Partial Differential Equations are discretized using a procedure similar to the linear conforming Finite Element Galerkin scheme, with a different flux formulation and a special flux treatment that requires Delaunay triangulation but entire solution monotonicity. A simple mesh adjustment is suggested, that attains t…

Nonlinear systemMathematical optimizationDiscretizationDelaunay triangulationCourant–Friedrichs–Lewy conditionshallow waters numerical methods finite element method diffusive model unstructured meshes Delaunay triangulations Voronoi cells unsteady flow backwater effect analytical solutionLinear systemApplied mathematicsGalerkin methodShallow water equationsFinite element methodWater Science and TechnologyMathematics
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