Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, March 5, 2010 - 04:00

Location:

Gilkey 113

Guest Speaker:

Eugene Zhang

Institution:

School of Electrical Engineering and Computer Science, OSU

Abstract:

The gradient of a velocity vector field is an asymmetric tensor field which can provide critical insight that is difficult to infer from traditional trajectory-based vector field visualization techniques. We describe the structures in the eigenvalue and eigenvector fields of the gradient tensor and how these structures can be used to infer the behaviors of the velocity field that can represent either a 2D compressible flow or the projection of a 3D compressible or incompressible flow onto a two-dimensional manifold. In addition, we visualize the structures in the eigenvector fields by using a combination of hyperstreamline tracing and glyph packing.