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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