An equal-area method for scalar conservation laws

Marjeta Kramar Fijavz, Mitja Lakner, Marjeta Skapin Rugelj

Abstract


We study the one-dimensional conservation law. We use a characteristic surface to define a class of functions, within which the integral version of the conservation law is solved in a simple and direct way. A simple algorithm for computing the unique solution is developed. The method uses the equal-area principle and yields the solution for any given time directly.

doi:10.1017/S1446181112000065

Keywords


conservation law, equal area, characteristics, mesh free.



DOI: http://dx.doi.org/10.21914/anziamj.v53i0.4881



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.