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High order interpolation methods for semi‐Lagrangian models of mobile‐bed hydrodynamics on Cartesian grids with cut cells
Author(s) -
Rosatti Giorgio,
Chemotti Roberto,
Bonaventura Luca
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.910
Subject(s) - discretization , polygon mesh , interpolation (computer graphics) , cartesian coordinate system , lagrangian , mathematics , flow (mathematics) , boundary (topology) , open channel flow , boundary value problem , mathematical analysis , geometry , mathematical optimization , mechanics , physics , classical mechanics , motion (physics)
Abstract High order approximation methods based on radial basis functions are applied to the extension of semi‐Lagrangian shallow water models to staggered Cartesian meshes with cut boundary cells. The accuracy and efficiency of the resulting semi‐Lagrangian method is demonstrated by test cases simulating open channel flow. The derivative reconstruction provided by radial basis function interpolators is also employed successfully in the discretization of sediment transport models for mobile bed river flow. Copyright © 2005 John Wiley & Sons, Ltd.