Simulation of shallow-water jets with a unified element-based continuous/discontinuous Galerkin model with grid flexibility on the sphere

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dc.contributor.authorMarras, S.
dc.contributor.authorKopera, M.A.
dc.contributor.authorGiraldo, F.X.
dc.contributor.departmentApplied Mathematics
dc.date.accessioned2015-08-20T22:48:57Z
dc.date.available2015-08-20T22:48:57Z
dc.date.issued2014
dc.descriptionThe article of record as published may be located at http://dx.doi.org/10.1002/qj.2474en_US
dc.description.abstractWe test the behaviour of a unified continuous/discontinuous Galerkin (CG/DG) shallowwater model in spherical geometry with curved elements on three different grids of ubiquitous use in atmospheric modelling: (i) the cubed-sphere, (ii) the reduced latitude–longitude, and (iii) the icosahedral grid. Both conforming and non-conforming grids are adopted including static and dynamically adaptive grids for a total of twelve mesh configurations. The behaviour of CG and DG on the different grids are compared for a nonlinear midlatitude perturbed jet and for a linear case that admits an analytic solution. Because the inviscid solution on certain grids shows a high sensitivity to the resolution, the viscous counterpart of the governing equations is also solved and the results compared. The logically unstructured element-based CG/DG model described in this article is flexible with respect to arbitrary grids. However, we were unable to define a best grid configuration that could possiblyminimize the error regardless of the characteristic geometry of the flow. This is especially true if the governing equations are not regularized by the addition of a sufficiently large, fully artificial, diffusion mechanism, as will be shown. The main novelty of this study lies in the unified implementation of two element-based Galerkin methods that share the same numericalmachinery and do not rely on any specific grid configuration to solve the shallow-water equation on the sphere.en_US
dc.description.sponsorshipThe authors gratefully acknowledge the support of the Office of Naval Research through program element PE-0602435N, the National Science Foundation (Division ofMathematical Sciences) through program element 121670, and the Air Force Office of Scientific Research through the Computational Mathematics program.en_US
dc.identifier.citationQ. J. R. Meteorol. Soc. (2014) DOI:10.1002/qj.2474en_US
dc.identifier.urihttps://hdl.handle.net/10945/46139
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.authorreduced lat-lon gridsen_US
dc.subject.authoricosahedral griden_US
dc.subject.authorcubed-sphereen_US
dc.subject.authorshallow-water equationsen_US
dc.subject.authorspectral element methoden_US
dc.subject.authordiscontinuous Galerkinen_US
dc.subject.authorgrid generation on the sphereen_US
dc.subject.authortransfinite interpolationen_US
dc.titleSimulation of shallow-water jets with a unified element-based continuous/discontinuous Galerkin model with grid flexibility on the sphereen_US
dc.typeArticleen_US
dspace.entity.typePublication
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