An equal-area method for scalar conservation laws

Marjeta Kramar Fijavz; Mitja Lakner; Marjeta Skapin Rugelj

doi:10.21914/anziamj.v53i0.4881

Authors

Marjeta Kramar Fijavz University of Ljubljana Faculty of Civil and Geodetic Engineering
Mitja Lakner University of Ljubljana Faculty of Civil and Geodetic Engineering
Marjeta Skapin Rugelj University of Ljubljana Faculty of Civil and Geodetic Engineering

DOI:

https://doi.org/10.21914/anziamj.v53i0.4881

Keywords:

conservation law, equal area, characteristics, mesh free.

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

Author Biographies

Marjeta Kramar Fijavz, University of Ljubljana Faculty of Civil and Geodetic Engineering

Deparment of mathematics and physics Docent

Mitja Lakner, University of Ljubljana Faculty of Civil and Geodetic Engineering

Deparment of mathematics and physics Docent

Marjeta Skapin Rugelj, University of Ljubljana Faculty of Civil and Geodetic Engineering

Deparment of mathematics and physics Assistant with Ph.D.