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Colloquia Archive
Untitled Document
| DATE: |
Friday, March 21st, 2008 |
| TITLE: |
ADVANCE HYBRID HIGH ORDER METHODS FOR MULTI-SCALES PROBLEMS
IN SHOCKED FLOWS
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| TIME: |
3:30 PM |
| LOCATION: |
GMCS 214 |
| SPEAKER: |
Wai Sun Don
Visiting Professor, Division of Applied Mathematics
Brown University |
| ABSTRACT: |
Classical high order methods such as spectral
methods and classical WENO methods are reaching their limits in handling
shocked flows with both large and small scales structures, such as the classical
Richtmyer-Meshkov instability and shock-particle laden flow, in an efficient
and accurate manner due to some of their inherent weakness.
Spectral methods, though highly efficient and accuracy for smooth problems,
suffer the Gibbs oscillations when discontinuities formed
in the solution in a nonlinear hyperbolic conservation laws. High
order WENO methods, on the other hand, are capable of capturing shocks in
an essentially non-oscillatory manner due to its non-linear adaptive stencils
switching and lowering of the order at the non-smooth stencils. However,
the reconstruction procedure is an expensive undertaking and quite dissipative
in nature. In this talk, I will present the work on the hybridization of
these two methodologically different methods in a spatially and temporary
adaptive multi-domain framework yielding a scheme which can capture shock
and resolving smooth small scales structures in an efficient manner. The
adaptively is based on the high order multi-resolution analysis. Examples
of the standard Riemann IVP problems, Mach 3 shock-density wave interaction
and two dimensional Shock-vortex interaction and Richtmyer-Meshkov instability
at high Mach numbers will be shown.
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| HOST: |
Gustaaf (Guus) Jacobs
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Computational Science Research Center :: 5500 Campanile Drive :: San Diego, CA 92182-1245 :: (619) 594-3430
©2007 Computational Science Research Center, SDSU - All rights
reserved.
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Last
updated:
May 6, 2008 9:52 AM
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