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

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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2012
Accession Number
ADA566255

Entities

People

  • John A. Ekaterinarius

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow Fields
  • Fluid Dynamics
  • Parallel Computing
  • Pressure Distribution
  • Pressure Gradients
  • Steady State
  • Three Dimensional
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.