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A stabilization for three-dimensional discontinuous Galerkin discretizations applied to nonhydrostatic atmospheric simulations

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Blaise, Sébastien [UCL] Lambrechts, Jonathan [UCL] Deleersnijder, Eric [UCL]

A discontinuous Galerkin nonhydrostatic atmospheric model is used for two- and three-dimensional simulations. There is a wide range of timescales to be dealt with. To do so, two different implicit/explicit time discretizations are implemented. A stabilization, based upon a reduced-order discretization of the gravity term is introduced to ensure the balance between pressure and gravity effects. While not affecting significantly the convergence properties of the scheme, this approach allows the simulation of anisotropic flows without generating spurious oscillations, as it happens for a classical discontinuous Galerkin discretization. This approach is shown to be less diffusive than usual spatial filters. A stability analysis demonstrates that the use of this modified scheme discards the instability associated with the usual discretization. Validation against analytical solutions is performed, confirming the good convergence and stability properties of the scheme. Numerical results demonstrate the attractivity of the discontinuous Galerkin method with implicit/explicit time integration for large scale atmospheric flows.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès mixte
Publication date 2016
Language Anglais
Journal information "International Journal for Numerical Methods in Fluids" - Vol. 81, p. 558-585 (2016)
Peer reviewed yes
Publisher JohnWiley & Sons Ltd. ((United Kingdom) Chichester)
issn 0271-2091
e-issn 1097-0363
Publication status Publié
Affiliation UCL - SST/IMMC/MEMA - Applied mechanics and mathematics
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Bibliographic reference Blaise, Sébastien ; Lambrechts, Jonathan ; Deleersnijder, Eric. A stabilization for three-dimensional discontinuous Galerkin discretizations applied to nonhydrostatic atmospheric simulations. In: International Journal for Numerical Methods in Fluids, Vol. 81, p. 558-585 (2016)
Permanent URL http://hdl.handle.net/2078.1/155002