| Autor: |
Audusse, Emmanuel, Bristeau, Marie-Odile, Sainte-Marie, Jacques, Bristeau, M. -O |
| Rok vydání: |
2017 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are able to extend previous results obtained for shallow water system. We derive a vertically implicit / horizontally explicit finite volume kinetic scheme that ensures the positivity of the approximated water depth, the well-balancing and a fully discrete energy inequality. |
| Databáze: |
arXiv |
| Externí odkaz: |
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