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.

Report Date:

2015-09-14

Pagination or Media Count:

10.0

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