Optimization and validation of discontinuous Galerkin Code for the 3D Navier-Stokes equations
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722781913-MIT.pdf
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Full printable version
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967.13 KB
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dba856a325ebf4411514ae81bbc41606
Author(s)
Liu, Eric Hung-Lin
Advisor(s)
David L. Darmofal.
Date Issued
2011
Publisher
Massachusetts Institute of Technology
Abstract
From residual and Jacobian assembly to the linear solve, the components of a high-order, Discontinuous Galerkin Finite Element Method (DGFEM) for the Navier-Stokes equations in 3D are presented. Emphasis is given to residual and Jacobian assembly, since these are rarely discussed in the literature; in particular, this thesis focuses on code optimization. Performance properties of DG methods are identified, including key memory bottlenecks. A detailed overview of the memory hierarchy on modern CPUs is given along with discussion on optimization suggestions for utilizing the hierarchy efficiently. Other programming suggestions are also given, including the process for rewriting residual and Jacobian assembly using matrix-matrix products. Finally, a validation of the performance of the 3D, viscous DG solver is presented through a series of canonical test cases.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student submitted PDF version of thesis.
Includes bibliographical references (p. 165-170).
Subjects
Aeronautics and Astronautics.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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