Accession Number : ADA621809


Title :   Hybridized Multiscale Discontinuous Galerkin Methods for Multiphysics


Descriptive Note : Final rept. Jul 2012-Jun 2015


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF AERONAUTICS AND ASTRONAUTICS


Personal Author(s) : Peraire, Jaime ; Nguyen, Ngoc C


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a621809.pdf


Report Date : 14 Sep 2015


Pagination or Media Count : 10


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


Descriptors :   *APPROXIMATION(MATHEMATICS) , *COMPUTATIONAL FLUID DYNAMICS , *WAVE PROPAGATION , APPLIED MATHEMATICS , COMPRESSIBLE FLOW , CONSERVATION , CONVECTION(ATMOSPHERIC) , EIGENVALUES , ELLIPSES , EULER EQUATIONS , EXPERIMENTAL DESIGN , FINITE ELEMENT ANALYSIS , FLUID MECHANICS , FLUX(RATE) , HYBRID SYSTEMS , LINEAR REGRESSION ANALYSIS , MAXWELLS EQUATIONS , NANOTECHNOLOGY , NAVIER STOKES EQUATIONS , PARTIAL DIFFERENTIAL EQUATIONS , POLYNOMIALS , SHOCK , UNCERTAINTY


Subject Categories : Numerical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE