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Flux difference splitting for 1D open channel flow equations
Author(s) -
Alcrudo Francisco,
GarciaNavarro Pilar,
Saviron JoseMaria
Publication year - 1992
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.1650140902
Subject(s) - upwind scheme , discretization , mathematics , jacobian matrix and determinant , open channel flow , computation , finite difference , flow (mathematics) , channel (broadcasting) , finite difference method , flux (metallurgy) , mathematical analysis , mechanics , geometry , physics , computer science , algorithm , materials science , metallurgy , computer network
Abstract An upwind finite difference scheme based on flux difference splitting is presented for the solution of the equations governing unsteady open channel hydraulics. An approximate Jacobian needed for splitting the flux differences is defined that satisfies the conditions required to construct a first‐order upwind conservative discretization of the equations. Added limited second‐order corrections make the resulting scheme robust and accurate for the computation of all regimes of open channel flow. Some numerical results and comparisons with other classical schemes under exacting conditions are presented.