期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 58, 期 4, 页码 403-425出版社
WILEY
DOI: 10.1002/fld.1727
关键词
shallow water; source term; flow resistance; roughness; numerical models; irrigation; river flow; numerical stability
Friction is one of the relevant forces included in the momentum equation of the ID shallow-water model. This work shows that a pointwise discretization of the friction term unbalances this term with the rest of the terms in the equation in steady state. On the other hand, an upwind discretization of the friction term ensures the correct discrete balance. Furthermore, a conservative technique based on the limitation of the friction value is proposed in order to avoid unbounded values of the friction term in unsteady case:; of advancing front over dry and rough surfaces. This limitation improves the quality of unsteady solutions in wet/dry fronts and guarantees the numerical stability in cases with dominant friction terms. The proposed discretization is validated in some test cases with analytical solution or with measured data and used in some practical cases. Copyright (C) 2007 John Wiley & Sons, Ltd.
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