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Description: |
The shallow water description through the Saint-Venant system is usual for many applications (rivers flow, tidal waves, oceans). This is an hyperbolic system, relatively simple but that contains source terms describing the bottom topography and
friction, and thus can undergo shock waves (bores, dam break). Although Saint-Venant derived it from elementary principle in 1871, one understands only from less than 10 years how to derive it including the right viscosity and thus the right entropy conditions for shock waves.
The numerical solution of such system, including the shock waves solutions, has to be adapted to the balance laws that it expresses. Classical finite volume schemes, very stable, give a low accuracy because they do not preserve the steady state of a lake at rest. This question has been considered by many authors who have modified the most classical solvers.
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Date: |
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| Start Time: |
10:00 |
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Speaker: |
Benoit Perthame
(??cole Normale Supérieure, Paris)
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Place: |
Room 5.5
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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<Main>
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