Entropy-Stabilized Discontinuous Galerkin Method for Gas-Dynamics Simulations

Speaker: Matthias Ihme, Department of Mechanical Engineering, Stanford University
March 17, 2015

Presentation

Abstract

This presentation gives an overview of our recent developments of a high-order shock-capturing framework, combining three key components, namely entropy-bounding, shock detection, and artificial viscosity. This framework is developed in the context of a discontinuous Galerkin method, and a local entropy constraint is introduced to guarantee numerical robustness. An entropy-residual function is proposed for capturing shocks and local discontinuities to enable high-order accurate simulations of shock-dominated flows. Stability, proof of convergence, and formulation of a local threshold for the artificial viscosity will be discussed.

The second part of this talk will address the application of this entropy-bounded DG-framework to different flow configurations. Examples include hypersonic flows, shock-wave problems, unsteady wall bounded flows, turbulent flow simulations, and detonation transition

Biography

Matthias Ihme is Assistant Professor in the Department of Mechanical Engineering at Stanford University. He holds a BSc. degree in Mechanical Engineering and a MSc. degree in Computational Engineering. In 2008, he received his Ph.D. in Mechanical Engineering from Stanford. After being on the faculty of the Aerospace Engineering Department at the University of Michigan for five years, he returned to Stanford in 2013. He is a recipient of the NSF CAREER Award, the ONR Young Investigator Award, and the AFOSR Young Investigator Award.

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