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Depth‐averaged two‐dimensional curvilinear explicit finite analytic model for open‐channel flows
Author(s) -
Hsu ChihTsung,
Yeh KehChia,
Yang JinnChuang
Publication year - 2000
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/(sici)1097-0363(20000530)33:2<175::aid-fld8>3.0.co;2-8
Subject(s) - curvilinear coordinates , discretization , mathematics , shallow water equations , finite difference method , flow (mathematics) , finite difference , open channel flow , convergence (economics) , momentum (technical analysis) , supercritical flow , mathematical analysis , numerical analysis , geometry , finance , economics , economic growth
A depth‐averaged two‐dimensional model has been developed in the curvilinear co‐ordinate system for free‐surface flow problems. The non‐linear convective terms of the momentum equations are discretized based on the explicit–finite–analytic method with second‐order accuracy in space and first‐order accuracy in time. The other terms of the momentum equations, as well as the mass conservation equation, are discretized by the finite difference method. The discretized governing equations are solved in turn, and iteration in each time step is adopted to guarantee the numerical convergence. The new model has been applied to various flow situations, even for the cases with the presence of sub‐critical and supercritical flows simultaneously or sequentially. Comparisons between the numerical results and the experimental data show that the proposed model is robust with satisfactory accuracy. Copyright © 2000 John Wiley & Sons, Ltd.