SMSD Seminar - Implementing, applying, and automating geometrically-flexible numerical methods in mechanics
Thursday, October 24, 2019 at 4:00pm
Professor David Kamensky, UC San Diego
Studies of mechanical analysis workflows identify geometry manipulation as the most time-consuming task. The geometrical challenges in mechanics are twofold: (1) Upstream geometry descriptions are rarely suitable for analysis. (2) Geometric complexity may arise spontaneously, due to nonlinear physics. Isogeometric analysis (IGA) attempts to address the first challenge, by using the same mathematical representation of geometry in both design an analysis. Immersogeometric analysis (IMGA) extends IGA to handle geometries formed by intersections of curves, surfaces, and volumes, but is still insufficient to fully address the second challenge. Meshfree methods provide the flexibility needed to represent topological events, such as fracture and contact, by describing geometry in terms of point clouds. As case studies, I consider IMGA of heart valve fluid--structure interaction (FSI) and hybrid IGA--meshfree analysis of blast FSI. Some analysis technologies that grew out of these projects include: new fluid--structure coupling algorithms, nonlocal contact formulations, a hyperbolic model for phase-field fracture, parallelization of particle--grid methods using distributed graphs, and an open-source library, tIGAr, that leverages software from the FEniCS project to automate IGA.
Biography: David Kamensky is an Assistant Professor in the Mechanical and Aerospace Engineering department at UC San Diego, specializing in computational mechanics. He received a BS from the University of Virginia in 2011, where he studied Computer Science and Physics, and a PhD from the University of Texas at Austin in 2016, in Computational Science, Engineering, and Mathematics. Before joining the faculty at UC San Diego in 2019, he held postdoctoral positions in the Structural Engineering department at UC San Diego and in the School of Engineering at Brown University.