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SUMMARY:Discrete analyses and numerical simulation of the shallow-water sy
 stem - Le Roux\, D (Universit Claude Bernard Lyon 1)
DTSTART:20121115T100000Z
DTEND:20121115T110000Z
UID:TALK41517@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The shallow-water system\, obtained from the Navier-Stokes equ
 ations by vertical averaging\, is extensively used in environmental studie
 s (ocean\, atmosphere\, rivers) to simulate the propagation of inertia-gra
 vity and Rossby waves. For most of the discretization schemes\, the numeri
 cal approximation of shallow-water models is a delicate problem leading to
  the appearance of spurious (non physical) solutions in the representation
  of the fast (inertia-gravity) and slow (Rossby) waves. In order to unders
 tand these difficulties and to select appropriate spatial discretization s
 chemes\, Fourier / dispersion analyses and the study of the null space of 
 the associated discretized problems have proven beneficial. The aim of thi
 s talk is to present such results and to propose a class of possible discr
 etization schemes that is not affected by the spurious modes. Both discret
 e analyses and numerical simulations involving the eddy propagation in an 
 oceanic context will be presented.\n
LOCATION:Seminar Room 1\, Newton Institute
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