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dc.contributor.authorMarras, Simone
dc.contributor.authorMoragues, Margarida
dc.contributor.authorVázquez, Mariano
dc.contributor.authorJorba Casellas, Oriol
dc.contributor.authorHouzeaux, Guillaume
dc.identifier.citationMarras, S. [et al.]. A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows. "Journal of computational physics", 01 Març 2013, vol. 236, p. 380-407.
dc.description.abstractWe present a compressible version of the variational multiscale stabilization (VMS) method applied to the finite element (FE) solution of the Euler equations for nonhydrostatic stratified flows. This paper is meant to verify how the algorithm performs when solving problems in the framework of nonhydrostatic atmospheric dynamics. This effort is justified by the previously observed good performance of VMS and by the advantages that a compact Galerkin formulation offers on massively parallel architectures – a paradigm for both computational fluid dynamics (CFD) and numerical weather prediction (NWP) practitioners. We also propose a simple technique to construct a well-balanced approximation of the dominant hydrostatics that, if not properly discretized, may cause unacceptable vertical oscillations. This is a relevant problem in NWP, especially in the proximity of steep topography. To evaluate the performance of the method for stratified environments, six standard 2D and two 3D test cases are selected. Of these, two admit a semi-analytic solution, while the remaining six are non-steady and non-linear thermal problems with dominant buoyancy effects that challenge the algorithm in terms of stability.
dc.format.extent28 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
dc.subject.lcshFinite element method
dc.subject.lcshNonhydrostatic flows
dc.subject.lcshEuler equations
dc.subject.otherVariational multiscale stabilization
dc.subject.otherFinite element method
dc.subject.otherNonhydrostatic flows
dc.subject.otherEuler equations
dc.titleA variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows
dc.subject.lemacEuler, Equacions d'
dc.subject.lemacMètode dels elements finits
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
local.citation.authorMarras, S.; Moragues, M.; Vazquez, M.; Jorba, O.; Houzeaux, G.
local.citation.publicationNameJournal of computational physics

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