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A well‐balanced weighted essentially non‐oscillatory scheme for pollutant transport in shallow water
Author(s) -
Li Gang,
Gao Jinmei,
Liang Qiuhua
Publication year - 2012
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.3726
Subject(s) - curvilinear coordinates , pollutant , polygon mesh , waves and shallow water , shallow water equations , diffusion , mechanics , flow (mathematics) , mass transport , scheme (mathematics) , environmental science , mathematics , geometry , mathematical analysis , physics , chemistry , thermodynamics , organic chemistry , engineering physics
SUMMARY In this paper, a well‐balanced finite difference weighted essentially non‐oscillatory scheme is presented for modeling transport and diffusion of pollutant in shallow water flows. The scheme balances exactly the flux gradients and the source terms. Extensive one‐dimensional and two‐dimensional numerical experiments on uniform and curvilinear meshes strongly suggest that high resolution results are achieved for both water depth and pollutant concentration. The scheme is efficient and robust and can be applied to practical numerical simulation of pollutant transport phenomena in shallow water flows. Copyright © 2012 John Wiley & Sons, Ltd.