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Joint Fluid Dynamics Seminar/Wave Seminar

Tuesday, Nov 20th, 2007, 4:00 PM
Cullimore Hall, Room 611
New Jersey Institute of Technology

Waves and Fluids: Simulation, Visualization and Analytics

Norman Zabusky

Department of Mechanical and Aerospace Engineering, Rutgers University

Abstract

I will present an overview of the role of computer simulation in understanding and mathematizing natural phenomena at various times. I will draw on years of work [1] beginning with the Fermi-Pasta-Ulam near-recurrence and thermalization phenomena for a 1D nonlinear lattice [2] and move to vortex phenomena that arise in accelerated inhomogeneous flows, e.g., the Richtmyer-Meshkov instability in 2D and 3D [3,4]. I will examine the choice of the: reduced model; discrete algorithm and visiometric representation (diagnostics), including animations.

[1] Zabusky NJ, "Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: History, synergetics, and visiometrics". CHAOS 15 (1): Art. No. 015102 MAR 2005.

[2]. Zabusky NJ, Sun Z, Peng G, "Measures of chaos and equipartition in integrable and nonintegrable lattices" CHAOS 16 (1): Art. No. 013130 MAR 2006.

[3] Lee DK, Peng GZ, Zabusky NJ, "Circulation rate of change: A vortex approach for understanding accelerated inhomogeneous flows through intermediate times." PHYS FLUIDS 18 (9): No. 097102 SEP 2006.

[4] Peng GZ, Zabusky NJ, Zhang S, "Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer-Meshkov interface." PHYSICS OF FLUIDS 15 (12): 3730-3744 DEC 2003.