A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws
نویسندگان
چکیده
منابع مشابه
A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws
A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [9] in the context of a staggered Lax-Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the “external waves” involved in the entropy so...
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Linear advection of a scalar quantity by a specified velocity field arises in a number of different applications. Of particular interest here is the transport of species and energy in low Mach number models for combustion, atmospheric flows, and astrophysics, as well as contaminant transport in Darcy models of saturated subsurface flow. An important characteristic of these problems is that the ...
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We study the compactness in Lloc of the semigroup (St)t≥0 of entropy weak solutions to strictly convex scalar conservation laws in one space dimension. The compactness of St for each t > 0 was established by P. D. Lax [1]. Upper estimates for the Kolmogorov’s ε-entropy of the image through St of bounded sets C in L ∩ L∞ which is denoted by Hε(St(C) | L(R)) := log2 Nε(St(C)). where Nε(St(C)) is ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2014
ISSN: 0036-1429,1095-7170
DOI: 10.1137/130925906