CNCS Seminar
Tuesday, September 20, 2016, 3:00pm, 119 Physics
Maciej Balajewicz (University of Illinois at Urbana-Champaign)
Nonlinear dimensionality reduction: from turbulent fluid flows to computational finance
Abstract:- The past several decades have seen an exponential growth of
computer
processing speed and memory capacity. The massive, complex simulations that
run
on supercomputers allow exploration of fields for which physical experiments
are
too impractical, hazardous, and/or costly. Accurate and efficient
high-fidelity
simulations are critical to many energy, defense, and health applications,
e.g.,
global climate simulations, optimal design of wind systems for power
generation,
combustion simulations aimed at increasing fuel efficiency and reducing
carbon
emissions, simulations of heart fibrillation, and many others.
Unfortunately,
even with the aid of massively parallel next-generation computers,
high-fidelity
simulations are still too expensive for real-time and multi-query
applications
such as uncertainty quantification, design, optimization, and control. For
this
reason, interest in model order reduction continues to grow. In this talk I
will
summarize recent advances in nonlinear model reduction for
high-Reynolds-number
fluid flows, structural dynamics, and computational finance. [video]
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