Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws
نویسندگان
چکیده
منابع مشابه
Central-Upwind Schemes on Triangular Grids for Hyperbolic Systems of Conservation Laws
We present a family of central-upwind schemes on general triangular grids for solving two-dimensional systems of conservation laws. The new schemes enjoy the main advantages of the Godunov-type central schemes—simplicity, universality, and robustness and can be applied to problems with complicated geometries. The “triangular” central-upwind schemes are based on the use of the directional local ...
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We discover that the choice of a piecewise polynomial reconstruction is crucial in computing solutions of nonconvex hyperbolic (systems of) conservation laws. Using semi-discrete central-upwind schemes we illustrate that the obtained numerical approximations may fail to converge to the unique entropy solution or the convergence may be so slow that achieving a proper resolution would require the...
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ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2005
ISSN: 0749-159X,1098-2426
DOI: 10.1002/num.20049