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SUMMARY:A semi-implicit\, semi-Lagrangian\, p-adaptive Discontinuous Galer
 kin method for the rotating shallow water equations - Giovanni Tumolo\,   
 (Abdus Salam International Centre for Theoretical Physics)
DTSTART:20120925T135000Z
DTEND:20120925T141500Z
UID:TALK40085@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:As a first step towards construction and analysis of a DG base
 d dynamical core for high resolution atmospheric modeling\, a semi-implici
 t and semi-Lagrangian Discontinuous Galerkin method for the shallow water 
 equations with rotation is proposed and analyzed. \n\nThe method is equipp
 ed with a simple p-adaptivity criterion\, that allows to adjust dynamicall
 y the number of local degrees of freedom employed to the local structure o
 f the solution. \n\nNumerical results in the framework of two dimensional 
 test cases prove that the method captures accurately and effectively the m
 ain features of linear gravity and inertial gravity waves. Also the soluti
 on of nonlinear Stommel problem is correctly simulated. The effectiveness 
 of the method is also demonstrated by numerical results obtained at high C
 ourant numbers and with automatic choice of the local approximation degree
 . \n\nThe present research has been carried out during the PhD of the auto
 r (supervisors F. Giorgi and L. Bonaventura) with financial support from t
 he {it Abdus Salam International Center for Theoretical Physics} and in co
 llaboration with L.Bonaventura and M. Restelli {it MOX - Politecnico di Mi
 lano}. \n\nSee MOX-Report 04/2012 Tumolo\, G.\; Bonaventura\, L.\; Restell
 i\, M. A semi-implicit\, semi-Lagrangian\, p-adaptive Discontinuous Galerk
 in method for the shallow water equations.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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