Abstract
A constancy preserving formulation of conservative scalar transport schemes is presented in the framework of the semi-implicit discretization of free-surface flow equations. Consistency between the discretized free-surface equation and the discretized scalar transport equation is shown to be necessary for constancy preservation. This property is assured to hold for a wide range of advection schemes, given a specific and widely applied discretization of the free-surface equation. The practical relevance of the consistency with continuity condition is then demonstrated by various numerical tests.
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© 2001 Springer Science+Business Media New York
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Bonaventura, L., Gross, E.S. (2001). Constancy Preserving, Conservative Methods for Free-Surface Models. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_12
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
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