Overlapping and Moving Grid Approaches with Spectral-Element Methods: Concepts and Applications

Dr. Yulia Peet (Arizona State University)
Title: Overlapping and Moving Grid Approaches with Spectral-Element Methods: Concepts and Applications
Abstract: 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. .

Webpage of the Applied Maths Seminar: http://www.maths.usyd.edu.au/u/SemConf/Applied.html

Please notice that, exceptionally, this seminar takes place on Monday.