AE Distinguished Lecture Series presents

"Hybridized Discontinuous Galerkin Methods for Computational Mechanics"

Professor Jaime Peraire - Department of Aeronautics and Astronautics

Massachusetts Institute of Technology

Thursday April 26, 2012 – Montgomery Knight Bldg (G442) 3:30pm

Abstract:

Discontinuous Galerkin (DG) methods for solving the Navier-Stokes equations have received considerable attention in recent years because of their potential to produce highly accurate solutions with minimum numerical dissipation. Applications such as LES or aero-acoustics demand high accuracy and low dispersion and hence are clear candidates for high order methods. DG methods produce stable discretizations of the convective operator for arbitrary accuracy orders. Moreover, Discontinuous Galerkin methods can be used with unstructured meshes of tetrahedra, which is a requirement for real-world complex geometries.

Presented in the talk will be a description of a new class of hybridizable discontinuous Galerkin (HDG) methods for the numerical solution of the systems of conservation laws. In addition to possessing local conservativity, high-order accuracy, and strong stability for convection-dominated flows, the proposed HDG methods result in a reduced number of globally coupled degrees of freedom than other DG methods. Our current framework allows us to consider in a unified manner applications in CFD, solid mechanics and wave propagation.

BIO:

Jaime Peraire is the H.N. Slater Professor of Aeronautics and Astronautics and Head of the Department of Aeronautics and Astronautics at the Massachusetts Institute of Technology. He graduated in Civil Engineering from the Polytechnic University of Barcelona (Spain) in 1983 and obtained a PhD in 1986 from the University of Wales (UK). He taught as a lecturer at the University of Wales from 1985 to 1989. During 1989 and 1993, he was a Reader at the Department of Aeronautics at Imperial College, London, and in 1993, he joined the faculty at the Massachusetts Institute of Technology.

His areas of interest are computational aerodynamics as well as computational mechanics and optimization. His current interests include computational mechanics, flapping flight, and the design of newly engineered materials. He is the author of over 200 technical papers and serves in the editorial board of several journals. In 2005, he established and co-directed a new MIT SM program in Computation for Design and Optimization (CDO).