Hybridized Multiscale Discontinuous Galerkin Methods for Multiphysics

Abstract

We have continued the development of the Hybridized Discontinuous Galerkin (HDG) method for the solution of systems of conservation laws. The focus has been on the development of robust, accurate, and efficient methods capable of handling complex physics in realistic geometries. In particular, we have: 1) proposed a Hybridized Multiscale Discontinuous Galerkin method (HMDG), 2) extended the HDG approximation to second-order elliptic eigenvalue problems, 3) presented a new phased-based method for high frequency wave propagation, 4) presented an embedded discontinuous Galerkin (EDG) method , 5) introduced a novel shock capturing technique, and 6) presented a novel approach for UQ

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 14, 2015
Accession Number
ADA621809

Entities

People

  • Jaime Peraire
  • Ngoc Cuong Nguyen

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Acoustic Waves
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Frequency
  • Galerkin Method
  • Geometry
  • Mechanics
  • Partial Differential Equations
  • Wave Propagation
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)