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Accession Number
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ADA566255
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Title
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Development of High-Order Method for Multi-Physics Problems Governed by Hyperbolic Equations.
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Publication Date
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Aug 2012
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Media Count
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41p
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Personal Author
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J. A. Ekaterinarius
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Abstract
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In this section we present the discontinuous Galerkin (DG) discretization of the three dimensional Euler and Nervier-Stokes equations for hybrid-type meshes. Without loss of generality the general finite element discretization framework is presented for hexahedral type meshes since all computations of the DG method are performed at the computational domain on the standard cubic element and transferred back to the physical domain elements (tetrahedras, prisms, pyramids, or hexahedras) using collapsed coordinate transformations. This approach greatly facilitates implementation of hybrid meshes where neighboring element communication is performed through the numerical flux defined on the element faces. The numerical solution has been validated for flow over a cylinder and for flow over a wing with Joukowsky airfoil section.
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Keywords
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Aerodynamics
Airfoils
Computational fluid dynamics
Euler equations
Finite element analysis
Foreign reports
Galerkin method
Greece
Hybrid systems
Mesh
Navier stokes equations
Numerical analysis
Transformations
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Source Agency
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Non Paid ADAS
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NTIS Subject Category
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72B - Algebra, Analysis, Geometry, & Mathematical Logic
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Corporate Author
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Foundation for Research and Technology-Hellas, Iraklion (Greece).
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Document Type
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Technical report
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Title Note
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Final rept. 20 Jul 2011-19 Jul 2012.
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NTIS Issue Number
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1306
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Contract Number
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FA8655-11-1-3070
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