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AN EQUAL-AREA METHOD FOR SCALAR CONSERVATION LAWS

Published online by Cambridge University Press:  28 May 2012

MARJETA KRAMAR FIJAVŽ
Affiliation:
Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, Slovenia (email: [email protected], [email protected], [email protected])
MITJA LAKNER
Affiliation:
Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, Slovenia (email: [email protected], [email protected], [email protected])
MARJETA ŠKAPIN RUGELJ*
Affiliation:
Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, Slovenia (email: [email protected], [email protected], [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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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.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2012

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