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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A semi-implicit\, semi-Lagrangian\, p-adaptive Dis
continuous Galerkin method for the rotating shallo
w water equations - Giovanni Tumolo\, (Abdus Sal
am International Centre for Theoretical Physics)
DTSTART;TZID=Europe/London:20120925T145000
DTEND;TZID=Europe/London:20120925T151500
UID:TALK40085AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/40085
DESCRIPTION:As a first step towards construction and analysis
of a DG based dynamical core for high resolution a
tmospheric modeling\, a semi-implicit and semi-Lag
rangian Discontinuous Galerkin method for the shal
low water equations with rotation is proposed and
analyzed. \n\nThe method is equipped with a simple
p-adaptivity criterion\, that allows to adjust dy
namically the number of local degrees of freedom e
mployed to the local structure of the solution. \n
\nNumerical results in the framework of two dimens
ional test cases prove that the method captures ac
curately and effectively the main features of line
ar gravity and inertial gravity waves. Also the so
lution of nonlinear Stommel problem is correctly s
imulated. The effectiveness of the method is also
demonstrated by numerical results obtained at high
Courant numbers and with automatic choice of the
local approximation degree. \n\nThe present resear
ch has been carried out during the PhD of the auto
r (supervisors F. Giorgi and L. Bonaventura) with
financial support from the {it Abdus Salam Interna
tional Center for Theoretical Physics} and in coll
aboration with L.Bonaventura and M. Restelli {it M
OX - Politecnico di Milano}. \n\nSee MOX-Report 04
/2012 Tumolo\, G.\; Bonaventura\, L.\; Restelli\,
M. A semi-implicit\, semi-Lagrangian\, p-adaptive
Discontinuous Galerkin method for the shallow wate
r equations.\n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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