Skip to main content
NASA Advanced Supercomputing (NAS) Division World-class modeling, simulation, and supercomputing in support of the NASA mission

Advances in SBP-SAT-Based Methods for the Prediction and Control of Compressible Turbulent Flows

AMS Seminar Series

Speaker: Daniel J. Bodony, University of Illinois

Presentation

Seminar Slide Deck (PDF-13MB)

Abstract

The accurate simulation of compressible turbulent flows places heavy demands on the underlying numerical methods to capture the large range of spatial and temporal scales of motion without adding numerical dissipation, especially in the presence of complex geometries. When an adjoint-based design methodology is to be used, additional demands arise to ensure accuracy of the gradient and meaningful interpretation of the sensitivity field. This presentation will discuss new developments towards provably stable numerical schemes, without artificial dissipation, appropriate for the prediction and control of compressible turbulent flows in the presence of complex geometries. We leverage the summation-by-parts / simultaneous-approximation-term (SBP-SAT) framework. In particular we will focus on (a) fully discrete and dual consistent adjoint-based gradients, (b) provably stable approximations for d/dx(a(x,t) du/dx), and (c) provably stable methods for overset grids. Examples will be given demonstrating the developments.

Biography

Daniel J. Bodony is the Blue Waters Associate Professor in the Department of Aerospace Engineering at the University of Illinois. He received his Ph.D. in Aeronautics & Astronautics from Stanford University in 2005. After working at the NASA Ames/Stanford Center for Turbulence Research he joined the Aerospace Engineering department at the University of Illinois in late 2006 as an assistant professor. He received an NSF CAREER award in 2012 in fluid dynamics and is an associate fellow of the AIAA.