Berkeley Fluids Seminar

Two high-order methods: LES of transonic buffet and an adjoint method with fully implicit RK schemes

Monday, December 2, 2019

12:00-13:00, 3110 Etcheverry Hall

Michael Franco

(Department of Mathematics
University of California at Berkeley)

Abstract: This talk will cover two largely distinct topics under the umbrella of high-order methods for compressible flow problems. First, we will discuss a computationally efficient adjoint method with fully implicit Runge-Kutta (IRK) schemes. The fully discrete adjoint equations and corresponding adjoint method for unsteady PDE-constrained optimization problems will be introduced, and we will show that the resulting linear systems compare competitively with those derived from diagonally IRK schemes. Our implementation of the IRK adjoint method is tested by computing the energetically optimal trajectory of a 2D airfoil in compressible flow. Secondly, we will introduce a shock-capturing technique for large eddy simulation of compressible flow at transonic speeds. Results from the simulation of the OAT15A airfoil will be presented to show that the judicious application of artificial viscosity can be used to stabilize the high-order method, while accurately modeling the buffet phenomenon.

Bio: Michael Franco is a PhD Candidate in the Department of Mathematics at UC Berkeley. His research focuses on the areas of parallel computing and computational fluid dynamics. Specific topics of interest include: high-order discontinuous Galerkin methods, implicit time integration, numerical optimization, and fluid-structure interaction.

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Acknowledgments

Prof. Eliot Quataert on behalf of The Theoretical Astrophysics Center and the Astronomy Department (UC Berkeley)

Prof. Philip S. Marcus on behalf of the Mechanical Engineering Department (UC Berkeley)

Prof. Michael Manga (Earth and Planetary Science, UC Berkeley)

Prof. Evan Variano (Civil and Environmental Engineering, UC Berkeley)