Entropy behavior for underresolved discontinuous Galerkin discretizations of the Navier-Stokes equations
Name
1061859789-MIT.pdf
Description
Full printable version
Size
9.18 MB
Format
Adobe PDF
Checksum (MD5)
35f3ae3907f447846440b5680c0bcda9
Author(s)
Frontin, Cory (Cory Vincent)
Advisor(s)
David L. Darmofal.
Date Issued
2018
Publisher
Massachusetts Institute of Technology
Abstract
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).
Subjects
Aeronautics and Astronautics.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Terms of Use
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
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