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An Investigation of Wave Propagations in Discontinuous Galerkin MethodAnalysis of the discontinuous Galerkin method has been carried out for one- and two-dimensional system of hyperbolic equations. Analytical, as well as numerical, properties of wave propagation in a DGM scheme are derived and verified with direct numerical simulations. In addition to a systematic examination of the dissipation and dispersion errors, behaviours of a DG scheme at an interface of two different grid topologies are also studied. Under the same framework, a quantitative discrete analysis of various artificial boundary conditions is also conducted. Progress has been made in numerical boundary condition treatment that is closely related to the application of DGM in aeroacoustics problems. Finally, Fourier analysis of DGM for the Convective diffusion equation has also be studied in connection with the application of DG schemes for the Navier-Stokes equations. This research has resulted in five(5) publications, plus one additional manuscript in preparation, four(4) conference presentations, and three(3) departmental seminars, as summarized in part II. Abstracts of papers are given in part 111 of this report.
Document ID
20040074324
Document Type
Contractor or Grantee Report
Authors
Hu, Fang Q. (Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
August 21, 2013
Publication Date
January 1, 2004
Subject Category
Numerical Analysis
Meeting Information
7th AIAA/CEAS Aeroacoustics Conference(Maastricht)
Funding Number(s)
CONTRACT_GRANT: NAG1-01044
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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