Yulia Peet
School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA
In this talk, we present our recent development of overlapping and moving grid methodology for high-fidelity computations of fluid flow problems with spectral element methods. Spectral element methods belong to a class of high-order methods that combine exponential convergence of global spectral methods with geometrical flexibility of finite-element methods. High-order methods possess low dissipation and low dispersion errors and are well suited for high-accuracy simulations of turbulent flows. The current development of overlapping and moving grid approaches enables the application of spectral element methods to a larger class of problems that involve moving bodies and complex geometries. In this talk, the fundamental concepts of both the spectral element methodology and the overlapping grid approach will be discussed, followed by a description and analysis of the methods that we have developed, paying a special attention to the concepts of stability and accuracy of the proposed methodology. We will proceed by discussing an application of the developed method to Direct Numerical Simulations of airfoil dynamic stall in the presence of upstream disturbances. We conclude by showing further potential extensions of the current methodology and list new applications that can be successfully tackled with this method.
Bio: Yulia Peet is an Assistant Professor of Mechanical and Aerospace Engineering at the School for Engineering of Matter, Transport and Energy at Arizona State University since Fall 2012. Her Ph.D. degree is in Aeronautics and Astronautics from Stanford (2006), M.S. and B.S. degrees are from Moscow Institute of Physics and Technology (1999 and 1997). Her previous appointments include a Postdoctoral position at the University of Pierre and Marie Curie in Paris in 2006-2008, and a dual appointment as an NSF Fellow at Northwestern and Assistant Computational Scientist at Argonne National Laboratory in 2009-2012. Her research interests include computational methods and high-performance computing, fluid mechanics and turbulence, with applications in wind energy, aerospace, and biological fluid mechanics.