On the Total Variation of High-Order Semi-Discrete Central Schemes for Conservation Laws
نویسندگان
چکیده
We discuss a new fifth-order, semi-discrete, central-upwind scheme for solving one-dimensional systems of conservation laws. This scheme combines a fifthorder WENO reconstruction, a semi-discrete central-upwind numerical flux, and a strong stability preserving Runge–Kutta method. We test our method with various examples, and give particular attention to the evolution of the total variation of the approximations.
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ورودعنوان ژورنال:
- J. Sci. Comput.
دوره 27 شماره
صفحات -
تاریخ انتشار 2006