Tim Warburton

Associate Professor

Rice University

Department of Computational Applied Mathematics

For more information please contact Dr. George Biros at gbiros@cc.gatech.edu

Title:

A Low Storage, High Order Discontinuous Galerkin Method for Curvilinear Domains

Abstract:

A range of important issues relating to the practical application of discontinuous Galerkin time-domain (DGTD) method for wave propagation will be discussed.

Several issues arise in time stepping for realistic simulations using DGTD.

Multiple intrinsic length and time scales are induced by geometry, material properties, mesh generation and the use of high order polynomial approximation. I will describe a simple filtering process that allows us to reduce the anomalously large gradients intrinsic to high-order polynomial approximations and consequently use a larger time step. Additionally, local time stepping algorithms will be demonstrated for meshes with a large range of element sizes.

Recently we have been testing high performance implementations for DGTD on graphics processing units. The results are very promising. I will discuss the performance of the low storage DGTD for curvilinear domains on this platform and how its design was influenced by the memory constraints of these high performance compute devices.

Examples will be shown for electromagnetic scattering and fluid flow.

http://www.caam.rice.edu/~timwar

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You are cordially invited to attend a reception in the lounge next to Klaus 1324 before the seminar to chat informally with faculty and students. PIZZA will be provided.

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