PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Siyan Zhang, Mari Royer.

Title:Imaging flows that are represented by hyperbolic PDEs
Seminar:CCMA Luncheon Seminar
Speaker:Gary Settles, Penn State University
Abstract:
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
Date:02 / 20 / 2009
Time:12:15pm - 01:25pm