Energy conservative and stable schemes for the two-layer shallow water equations. (English) Zbl 1402.76086
Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 2. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-08-2/v.2; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 18, 414-421 (2012).
Summary: By extending previous work we design an energy stable finite difference scheme for the two-layer shallow water equations.
For the entire collection see [Zbl 1255.35003].
For the entire collection see [Zbl 1255.35003].
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 35L65 | Hyperbolic conservation laws |
