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dc.contributor.authorAbdi, Daniel S.
dc.contributor.authorGiraldo, Francis X.
dc.dateMay 28, 2016
dc.date.accessioned2016-09-27T19:52:29Z
dc.date.available2016-09-27T19:52:29Z
dc.date.issued2016-05-28
dc.identifier.urihttp://hdl.handle.net/10945/49922
dc.descriptionPreprint submitted to TBDen_US
dc.description.abstractA unified approach for the numerical solution of the 3D hyperbolic Euler equations using high order methods, namely continuous Galerkin (CG) and discontinuous Galerkin (DG) methods, is presented. First, we examine how classical CG that uses a global storage scheme can be constructed within the DG framework using constraint imposition techniques commonly used in the finite element literature. Then, we implement and test a simplified version in the Non-hydrostatic Unified Model of the Atmosphere (NUMA) for the case of explicit time integration and a diagonal mass matrix. Constructing CG within the DG framework allows CG to benefit from the desirable properties of DG such as, easier hp-refinement, better stability etc. Moreover, this representation allows for regional mixing of CG and DG depending on the flow regime in an area. The different flavors of CG and DG in the unified implementation are then tested for accuracy and performance using a suite of benchmark problems representative of cloud-resolving scale, meso-scale and global-scale atmospheric dynamics. The value of our unified approach is that we are able to show how to carry both CG and DG methods within the same code and also offer a simple recipe for modifying an existing CG code to DG and vice versa.en_US
dc.description.sponsorshipOffice of Naval Research, PE-0602435Nen_US
dc.format.extent29 p.en_US
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.titleEfficient Construction of Unified Continuous and Discontinuous Galerkin Formulations for the 3D Euler Equationsen_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematics
dc.subject.authorNUMAen_US
dc.subject.authorcontinuous Galerkinen_US
dc.subject.authordiscontinuous Galerkinen_US
dc.description.funderOffice of Naval Research, PE-0602435Nen_US


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