Validation of the gFR Computational Fluid Dynamics Methodology

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Eager, Daniel
Aikens, Kurt
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Houghton College
There is a current demand in computational fluid dynamics (CFD) for higher-order solvers that can simulate fluid flows using unstructured grids. Such software would allow for highlyaccurate simulations of complex and industrially-relevant geometries. To help meet these needs, a new code, gFR, is being developed by researchers at the NASA Glenn Research Center. It is based on the flux reconstruction (FR) methods of H.T. Huynh, which are used to solve the three-dimensional Navier-Stokes equations. The methodology is capable of performing efficient and accurate large eddy simulations (LES) and, depending on userspecified choices, can recover many popular high-order methods including the discontinuous Galerkin, spectral difference, and spectral volume methods. Runge-Kutta methods are used to advance the governing equations in time. While gFR has many theoretical advantages, it had only been tested on two problems prior to the present work: a two-dimensional inviscid vortex and the Taylor-Green vortex problem. The present study at Houghton College includes tests of laminar flow over a flat plate as well as laminar channel flow over a backward-facing step. Preliminary results are shown for the two test cases and compared with corresponding experimental and theoretical results. Challenges are described and possible future work is outlined.
XXXVI Annual Rochester Symposium for Physics Students, University of Rochester, Rochester, NY., April 1, 2017.
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