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# Dylan Bruney – GMA Seminar

## November 18, 2019 @ 4:00 pm - 5:00 pm

**Title:** *Data-driven Mesh Optimization for Staggered-grid Lagrangian Hydrodynamics*

**Abstract: **The Euler equations are used in many industrial applications to model gas dynamics, but face a multitude of numerical issues. The foremost of which is the development of shock-waves, at which finite difference schemes produce large errors. One solution is the use of an artificial viscosity; however, this also necessitates high resolution at the shock interface. For a Lagrangian scheme that tracks the movement of fluid parcels, we get the benefit of a mesh that naturally adapts to the evolution of the PDE and gives us that necessary resolution, but we also open up the near limitless number of choices of which fluid parcels to track. The presentation will explore how to choose these nodes in the most numerically cost effective manner.