Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition
نویسندگان
چکیده
منابع مشابه
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions
We consider hyperbolic scalar conservation laws with discontinuous flux function of the type ∂tu+ ∂xf(x, u) = 0 with f(x, u) = fL(u)1 R−(x) + fR(u)1 R+(x). Here fL,R are compatible bell-shaped flux functions as appear in numerous applications. In [1] and [2], it was shown that several notions of solution make sense, according to a choice of the so-called (A,B)-connection. In this note, we remar...
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The subject of this paper is a scalar finite difference algorithm, based on the Godunov or Engquist-Osher flux, for scalar conservation laws where the flux is spatially dependent through a possibly discontinuous coefficient, k. The discretization of k is staggered with respect to the discretization of the conserved quantity u, so that only a scalar Riemann solver is required. The main result of...
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ژورنال
عنوان ژورنال: Journal of Hyperbolic Differential Equations
سال: 2017
ISSN: 0219-8916,1793-6993
DOI: 10.1142/s0219891617500229