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UID:8704@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250624T143000
DTEND;TZID=Europe/Paris:20250624T163000
DTSTAMP:20250618T144332Z
URL:https://www.i2m.univ-amu.fr/evenements/non-hydrostatic-shallow-water-e
 quations/
SUMMARY:Tomas Morales (Université de Séville): Non hydrostatic shallow wa
 ter equations
DESCRIPTION:Tomas Morales: Non hydrostatic shallow water equations\n\nShall
 ow water equations (SWE) have been successfully applied to many real life 
 situations for the simulation of geophysical flows: river floods\, sedimen
 t transport\, tsunami modeling\, etc. The main drawback is the assumption 
 of hydrostatic pressure and the fact that it does not take into account th
 e effects associated with dispersive waves.\nIn recent years\, an effort h
 as been made in the derivation of relatively simple mathematical models fo
 r shallow water flows that include long nonlinear water waves. To improve 
 the nonlinear dispersive properties of the model\, information on the vert
 ical structure of the flow should be included.\nTo do so\, the approach us
 ed by Boussinesq-type models is to retain some high-order terms in the Tay
 lor expansion of the velocity potential. High-order Boussinesq-type models
  offer better dispersive properties. The counterpart is that extremely com
 plex systems with high-order derivatives arise.\nAlternatively\, the devel
 opment of non-hydrostatic pressure models for coastal water waves has been
  the topic of many studies over the past 30 years. The idea is that\, in o
 rder to incorporate dispersive effects in SWE-type models\, one should ret
 ain some vertical information on the structure of the flows. This means th
 at following the usual average process when obtaining SWE\, one cannot ass
 ume the vertical velocity nor non-hydrostatic pressure negligible. Therefo
 re\, the pressure is split into a hydrostatic and a non-hydrostatic part. 
 Using this strategy one obtains the one layer non-hydrostatic shallow wate
 r model whcih gives better results in certain applications. Nevertheless\,
  in some situations a better dispersion relation is needed. In order to so
 \, one has to enrich the vertical description of the fluid\, which can be 
 achieved by using a multilayer or moment approach.
CATEGORIES:Groupe de travail,HYPERBO
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
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 2ème étage):geo:0,0
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