A Novel Approach for Shock Capturing in Unstructured High-Order Methods

Speaker: Abhishek Sheshadri, Stanford University
July 7, 2016

Presentation

Abstract

High-order methods have shown great potential for increased efficiency for vortex dominated flows on account of their lower numerical dissipation. But a direct consequence of this reduced dissipation is their increased susceptibility to instabilities. Instabilities arising due to shocks in compressible flows have been investigated and a robust and efficient shock capturing strategy along with a novel shock detection mechanism inspired by image edge-detection has been proposed. The strategy is capable of sub-cell shock capturing on general unstructured grids and is applicable to any non-linear PDE.

Biography

Abhishek Sheshadri is a doctoral candidate in the Department of Aeronautics and Astronautics at Stanford University. His work is mainly focused on linear and nonlinear stability analysis of high-order methods in CFD and on shock capturing in such methods. He is also working on methods for finding efficient quadrature rules on arbitrary domains. His other interests include large scale GPU Computing and Financial Mathematics.

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