Discontinuous Galerkin for Diffusion

Abstract

The funded period of this project ran out on 30 November 2007; a no-cost extension of 3 months was requested by the PI for medical reasons, and was granted. In the second year the effort addressed the following issues: (1) making the Recovery-based Discontinuous Galerkin method (RDG) suitable for multidimensional applications, (2) increasing its efficiency by constructing the recovery basis once as pre-processing step for an entire calculation, (3) the combination of RDG with upwind DG for advection (URDG), (4) writing the general 1-D form of RDG as a penalty method, (5) dissemination via conferences and publications, and (6) technology transfer. Over the total grant period the RDG method developed from a promising one-dimensional Discontinuous Galerkin discretization technique for diffusion terms with superior accuracy and good stability to an efficient multidimensional methodology with a solid theoretical underpinning and ready for transfer to Air Force/industrial use.

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Document Details

Document Type
Technical Report
Publication Date
May 21, 2008
Accession Number
ADA483878

Entities

People

  • Bram van Leer

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Air Force
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Diffusion
  • Eigenvalues
  • Equations
  • Grids
  • Mathematics
  • Polynomials
  • Precision
  • Recovery
  • Scientific Research
  • Two Dimensional

Readers

  • Clinical Trial Research.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)