Entropy satisfying schemes for shallow water systems
Tomás Morales de Luna
Broschiertes Buch

Entropy satisfying schemes for shallow water systems

Writing positive, well-balanced, entropy satisfying numerical schemes for shallow water flows

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Entropy inequalities play an essential role in the election of a unique solution among all possible weak solutions for a system of conservation laws. Existence of an entropy will also allow to study the stability of numerical schemes for such equations and the main ideas can be easily extended to the more general case of quasi-linear systems. Nevertheless, developing numerical schemes that agree to this notion of entropy and at the same time grant some other "good" properties is not an easy task. Here we study the case of shallow water systems. In particular, the classical one-layer and two-la...