Accession Number:

ADA566255

Title:

Development of High-Order Method for Multi-Physics Problems Governed by Hyperbolic Equations

Descriptive Note:

Final rept. 20 Jul 2011-19 Jul 2012

Corporate Author:

FOUNDATION FOR RESEARCH AND TECHNOLOGY-HELLAS HERAKLION CRETE (GREECE)

Personal Author(s):

• Ekaterinarius, John A.

Report Date:

2012-08-01

Pagination or Media Count:

41.0

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.

Descriptors:

• *EULER EQUATIONS
• *NAVIER STOKES EQUATIONS
• AERODYNAMICS
• AIRFOILS
• COMPUTATIONAL FLUID DYNAMICS
• FINITE ELEMENT ANALYSIS
• GALERKIN METHOD
• GREECE
• HYBRID SYSTEMS
• MESH
• NUMERICAL ANALYSIS
• TRANSFORMATIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE