TITLE:

PATTERN FORMATION AND HOPPING BEHAVIOR IN THE KURAMOTO-SIVASHINSKY EQUATION (No. 51)

DATE:

Friday, September 10th, 2004

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Peter Blomgren, Department of Mathematics, San Diego State University

ABSTRACT:

We report the first observations of numerical “hopping” cellular flame patterns found in computer simulations of the Kuramoto-Sivashinsky equation.

Hopping states are characterized by nonuniform rotations of a ring of cells, in which individual cells make abrupt changes in their angular positions while they rotate around the ring. Until now, these states have been observed only in experiments but not (to the best of our knowledge) in computer simulations.

A modal decomposition analysis of the simulated patterns, via the Proper Orthogonal Decomposition, reveals spatio-temporal behavior in which the overall temporal dynamics is similar to that of equivalent experimental states. The spatial dynamics exhibit a few more features that are not seen in the experiments.

Our laboratory uses a combination of clinical, experimental and computational studies to investigate the fluid dynamics of the cardiovascular system in patients with LVADs in an effort to develop improved surgical implantation techniques, as well as design and control modifications for pump manufacturers. The project is a collaboration with cardiac surgeon Dr. Walter Dembitsky of Sharp Memorial Hospital and cardiologist Dr. Brian Jaski of the San Diego Cardiac Center. Together they care for the largest population of LVAD patients in the San Diego area. This project is funded by the National Science Foundation, the San Diego Foundation, and Micromed.

HOST:

Ricardo Carretero

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