Numerical Methods for PDEs Seminar
Wednesday, September 25, 2019 at 4:30pm to 5:30pm
Room 2-136 77 Massachusetts Avenue, Cambridge, MA 02139
SPEAKER: Rasmus Ellebaek Christiansen (Technical University of Denmark)
TITLE: Topology Optimization: Not Just Throwing Parameters at the Wall
ABSTRACT:
The engineering of physical systems, such as the load-carrying members of an airplane or the optical components of a microscope, is a cornerstone in the improvement and development of new devices and the advancement of science. Computational design tools now allow us to rapidly explore a huge space of non-intuitive designs, but such large-scale optimization approaches require careful formulation of the problem and the design space in order to yield tractable and usable results.
This talk explains the technique of topology optimization (TO) for device design, illustrating it for a variety of engineering problems in solid mechanics and electromagnetism. In particular, it will focus on density-based TO and associated methods for imposing manufacturing constraints (e.g. minimum feature sizes) and rapid optimization (e.g. adjoint-based sensitivity analysis). A typical engineering problem cannot simply be "thrown" at TO, however - one must often reformulate the engineering objective to be well suited for TO, addressing concerns such as differentiability and density interpolation. We illustrate this process using recent results of TO for design problems such as plasmonic field localization, Raman scattering, and photonic cavity design.
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