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MATHEMATICS COLLOQUIUM

Speaker: Miguel R. Visbal
Title: High-Order Methods for Practical Multi-Disciplinary Simulations.
Affiliation: Air Force Research Laboratory.
Date: Friday, December 1.
Place and Time: Room 101 - Love Building, 3:35-4:35 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. This presentation will discuss recent successes in the development of a set of versatile schemes aimed at the solution of multi-disciplinary problems on general curvilinear geometries. Fourth and sixth-order accurate Pade-type schemes, coupled with a newly developed low-pass 10th-order filter have been incorporated into implicit and explicit time-marching solvers. The filtering technique overcome previous limitations associated with numerical instability arising from non-linearity, boundary condition implementation and mesh non-uniformity, while retaining the desired high spatial accuracy. Extensions to treat moving meshes, as well as multi-domain strategies have yielded a powerful common platform to solve problems in turbulence, acoustics and fluid-structure interactions. Several results obtained in the Computational Sciences Branch will be described, and ongoing research will also be outlined.




 
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Last modified: Monday November 6th, 2000