Implementation of an implicit-explicit scheme for hybridizable discontinuous Galerkin
Name
1061860976-MIT.pdf
Description
Full printable version
Size
4.27 MB
Format
Adobe PDF
Checksum (MD5)
7ff3d6755ad9bd6b6fc7d794b6b37a42
Author(s)
Kolkman, Lauren Nicole
Advisor(s)
James Peraire.
Date Issued
2018
Publisher
Massachusetts Institute of Technology
Abstract
Finite element methods, specifically Hybridizable Discontinuous Galerkin (HDG), are used in many applications. One choice made when implementing HDG for a specific problem is whether time integration should be performed implicitly or explicitly. Both approaches have their advantages but, for some problems, a combination of these methods is a better choice than either on their own. Thus, an implicit-explicit (IMEX) scheme that splits the computational domain into implicit and explicit regions based on the domain geometry is considered in this thesis. This allows for stability throughout the domain and exploits the advantages each scheme has to offer. A study of the convergence and properties of this implementation of the IMEX method is presented along with comparisons to the individual 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 51-52).
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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