A MUSCL method satisfying all the numerical entropy inequalities
نویسندگان
چکیده
We consider here second-order finite volume methods for onedimensional scalar conservation laws. We give a method to determine a slope reconstruction satisfying all the exact numerical entropy inequalities. It avoids inhomogeneous slope limitations and, at least, gives a convergence rate of ∆x1/2. It is obtained by a theory of second-order entropic projections involving values at the nodes of the grid and a variant of error estimates, which also gives new results for the first-order Engquist-Osher scheme.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 65 شماره
صفحات -
تاریخ انتشار 1996