A Perfectly Matched Layer Method for the Navier-Stokes equations
Name
73811432-MIT.pdf
Description
Full printable version
Size
4.39 MB
Format
Adobe PDF
Checksum (MD5)
aae0e9052c8c9f4a32e99261502167b2
Author(s)
Whitney, John Peter, 1982-
Advisor(s)
Jamie Prairie.
Alternative Title
PML for the Navier-Stokes equations
Date Issued
2006
Publisher
Massachusetts Institute of Technology
Abstract
The Perfectly Matched Layer Method (PML) has found widespread application as a high-accuracy, non-reflecting boundary treatment in many wave propagation simulations. However, in the area of computational fluid dynamics, its application has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unstable. Even so, in light of the method's computational efficiency and high accuracy, finding a robust and stable implementation is highly desirable. Here, the method is extended to the Navier-Stokes equations, and is implemented with a high-order discontinuous Galerkin finite element method (DGFEM). The weaknesses and strengths of the method are investigated, and its performance is assessed when applied to complex flows; in particular, a viscous cavity flow is investigated. Stabilizing adjustments to the method are made, and future work is indicated for increased utility and flexibility of the method.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2006.
Includes bibliographical references (p. 49-51).
Subjects
Aeronautics and Astronautics.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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