For more information about this meeting, contact Siyan Zhang, Mari Royer.
| Title: | Imaging flows that are represented by hyperbolic PDEs |
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| Seminar: | CCMA Luncheon Seminar |
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| Speaker: | Gary Settles, Penn State University |
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| Abstract: |
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| When the field of gas dynamics developed in the 19th and 20th centuries,
much of the required mathematical background was already in place (Riemann,
Rankine, Hugoniot, etc.) The governing potential equation (a nonlinear
hyperbolic differential equation of second order) admits well-known
discontinuous solutions that have natural analogs in the shock waves that
occur in supersonic flows, forming a rich variety of patterns. Fortunately,
these patterns are easily made visible by optical methods that sense the
refraction due to density changes in the air, and that transform invisible
phase disturbances into visible amplitude patterns. Given the brevity of
this talk, I shall assume that my audience is familiar with the underlying
mathematics and proceed directly to a preliminary discussion of the optical
methods, followed by a gallery of still and video images of real high-speed
flows represented by hyperbolic PDEs. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 02 / 20 / 2009 |
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| Time: | 12:15pm - 01:25pm |
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