A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence
نویسنده
چکیده
A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not well posed.
منابع مشابه
A possible counterexample to uniqueness of entropy solutions and Godunov scheme convergence
A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not unique.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 75 شماره
صفحات -
تاریخ انتشار 2006