On the Interaction of Upwinding and Forcing for Nonlinear Hyperbolic Systems of Conservation Laws
نویسندگان
چکیده
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 discretize the derivative terms, one has to use also an upwind discretization of sources terms. In this paper we derive the proper formulas for discretizing the source terms and show their eeciency. From the computational point of view this is done with almost no extra cost.
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تاریخ انتشار 2007