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Selective lumping finite element method for shallow water flow
Author(s) -
Kawahara Mutsuto,
Hirano Hirokazu,
Tsubota Khoji,
Inagaki Kazuo
Publication year - 1982
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.1650020106
Subject(s) - discretization , finite element method , scheme (mathematics) , galerkin method , shallow water equations , flow (mathematics) , mathematics , stability (learning theory) , mathematical analysis , computer science , geometry , engineering , structural engineering , machine learning
A finite element method for solving shallow water flow problems is presented. The standard Galerkin method is employed for spatial discretization. The numerical integration scheme for the time variation is the explicit two step scheme, which was originated by the authors and their co‐workers. However, the original scheme has been improved to remove the erroneous artifical damping effect. Since the improved scheme employs a combination of lumped and unlumped coefficients, the scheme is referred to as a selective lumping scheme. Stability conditions and accuracy are investigated by considering several numerical examples. The method has been applied to the tidal flow in Osaka Bay and Yatsushiro Bay.