Entropy behavior for underresolved discontinuous Galerkin discretizations of the Navier-Stokes equations
Author(s)
Frontin, Cory (Cory Vincent)![Thumbnail](/bitstream/handle/1721.1/119299/1061859789-MIT.pdf.jpg?sequence=3&isAllowed=y)
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Other Contributors
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics.
Advisor
David L. Darmofal.
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High-order methods are emerging as a crucial tool for aerodynamics. One application is for solving large eddy simulations (LES). The use of the discontinuous Galerkin (DG) discretization in particular has attractive properties for these simulations. The stabilization methods used for high-order DG for underresolved Navier Stokes perform some compensation for subgrid scale effects, like subgrid-scale modeling in explict LES. In this work, the mathematical formulation of the finite element method is used to create a new technique for quantifying the artificial generation of entropy due to stabilization in a common DG formulation, in order to clarify the necessity of explicit subgrid modeling and give insight into future modeling strategies for LES performed using high-order finite element methods.
Description
Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018. Cataloged from PDF version of thesis. Includes bibliographical references (pages 87-89).
Date issued
2018Department
Massachusetts Institute of Technology. Department of Aeronautics and AstronauticsPublisher
Massachusetts Institute of Technology
Keywords
Aeronautics and Astronautics.