High Order Methods for Problems with Moving, Deforming Boundaries
Brian Helenbrook, Clarkson University
3:30 p.m., September 6, 2022 | B001 Geddes Hall
In this talk, high-order hp-finite element moving mesh formulations for problems with moving boundaries and discontinuous solutions will be discussed. In particular, the attainable order of accuracy will be examined for several practical applications. These applications include ducted wind turbines where the rotor is modeled with an actuator disc, solidification of Silicon with a moving freesurface and solidification front, and re-entry vehicles with a bow shock where the bow shock is tracked by the moving mesh.
In all of these cases, the solutions have non-smooth behaviors which makes obtaining design order of accuracy difficult / impossible. We examine whether high-order accurate schemes are still advantageous for these types of problems for both uniform mesh refinement approaches and adaptive meshing.
Prof. Brian Helenbrook holds the Paynter-Krigman Endowed Chair in Engineering Science Simulation at Clarkson University and is also the Chair of the Mechanical and Aeronautical Engineering Department at Clarkson University. He obtained his B.S. degree from the University of Notre Dame and a Master’s and Ph.D. degree from Princeton University, all in mechanical engineering.
His research interests are mainly in the development and application of numerical simulation techniques for fluid flows and heat transfer with a focus on two-phase flows. He has developed adaptive, arbitrary-Lagrangian-Eulerian (ALE), hp-finite element methods, which enable efficient high-order of accuracy numerical simulations of single and multiphase flows. Recent application areas are on ducted wind turbines, luge sleds, silicon manufacturing processes, particle laden flows for the oil and gas industry, and aerosol transport of disease. In 2014, he received the University’s Distinguished Teaching Award and in 2018 he was made a fellow of the ASME.