Godunov scheme for the scalar nonlinear conservation laws with flux depending on the space variable
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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Abstract. Scalar conservation laws with a flux function discontinuous in space are approximated using a Godunov-type method for which a convergence theorem is proved. The case where the flux functions at the interface intersect is emphasized. A very simple formula is given for the interface flux. A numerical comparison between the Godunov numerical flux and the upstream mobility flux is present...
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We obtain a well-posedness result of an entropy solution to a multidimensional scalar conservation law with discontinuous (quasi-homogeneous) flux satisfying crossing conditions, but with no genuine nonlinearity assumptions. The proof is based on the kinetic formulation of the equation under consideration and it does not involve any transformation of the original equation or existence of strong...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1995
ISSN: 0895-7177
DOI: 10.1016/0895-7177(95)00151-q