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Accession Number ADA566255
Title Development of High-Order Method for Multi-Physics Problems Governed by Hyperbolic Equations.
Publication Date Aug 2012
Media Count 41p
Personal Author J. A. Ekaterinarius
Abstract 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.
Keywords Aerodynamics
Computational fluid dynamics
Euler equations
Finite element analysis
Foreign reports
Galerkin method
Hybrid systems
Navier stokes equations
Numerical analysis

Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Author Foundation for Research and Technology-Hellas, Iraklion (Greece).
Document Type Technical report
Title Note Final rept. 20 Jul 2011-19 Jul 2012.
NTIS Issue Number 1306
Contract Number FA8655-11-1-3070

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