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Numerical solution of the generalized Serre equations with the MacCormack finite‐difference scheme
Author(s) -
Do Carmo J. S. Antunes,
Santos F. J. Seabra,
Almeida A. B.
Publication year - 1993
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.1650160805
Subject(s) - mathematics , finite difference method , scheme (mathematics) , finite difference , numerical analysis , domain (mathematical analysis) , finite difference scheme , boundary (topology) , boundary value problem , mathematical analysis
This paper describes a two‐dimensional numerical model to solve the generalized Serre equations. In order to solve the system equations, written in the conservative form, we use an explicit finite‐difference method based on the MacCormack time‐splitting scheme. The numerical method and the computational model are validated by comparing one‐ and two‐dimensional numerical solutions with theoretical and experimental results. Finally, the two‐dimensional model (in a horizontal plane) is tested in a domain with complicated boundary conditions.