Method of relaxed streamline upwinding for hyperbolic conservation laws
نویسندگان
چکیده
منابع مشابه
On the Interaction of Upwinding and Forcing for Nonlinear Hyperbolic Systems of Conservation Laws
Numerical stability of discretization schemes for nonlinear hyperbolic systems is obtained most currently via upwinding. In this paper we aim to report on the interaction of upwinding and forcing terms. It turns out that, for a given scheme, one must discretize properly in space the forcing terms in order to maintain the accuracy. As a matter of fact, when one uses an upwind method to discretiz...
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Hyperbolic conservation laws with source terms arise in many applications, especially as a model for geophysical flows because of the gravity, and their numerical approximation leads to specific difficulties. In the context of finite volume schemes, many authors have proposed to Upwind Sources at Interfaces, i.e. the “U. S. I.” method, while a cell-centered treatment seems more natural. This no...
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ژورنال
عنوان ژورنال: Wave Motion
سال: 2018
ISSN: 0165-2125
DOI: 10.1016/j.wavemoti.2018.02.001