High-order non-reflecting boundary conditions for the linearized Euler equations
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Authors
Dea, John R.
Subjects
open boundary conditions
auxiliary variables
wave propagation
Euler equations
gravity
infinite domains
non-reflecting
finite differences
auxiliary variables
wave propagation
Euler equations
gravity
infinite domains
non-reflecting
finite differences
Advisors
Neta, Beny
Giraldo, Francis X.
Date of Issue
2008-09
Date
September 2008
Publisher
Monterey, California. Naval Postgraduate School
Language
Abstract
We wish to solve fluid flow problems in only a portion of a large or infinite
domain. By restricting our area of interest, we effectively create a boundary where
none exists physically, dividing our computational domain from the rest of the physical
domain. The challenge we must overcome, then, is defining this boundary in such a
way that it behaves computationally as if there were no physical boundary. Such a
boundary definition is often called a non-reflecting boundary, as its primary function
is to permit wave phenomena to pass through the open boundary without reflection.
In this dissertation we develop several non-reflecting boundary conditions for the
linearized Euler equations of inviscid gas dynamics. These boundary conditions are
derived from the Higdon, Givoli-Neta, and Hagstrom-Warburton boundary schemes
for scalar equations, and they are adapted here for a system of first-order partial
differential equations. Using finite difference methods, we apply the various boundary
schemes to the gas dynamic equations in two dimensions, in an open domain with
and without the influence of gravity or Coriolis forces. These new methods provide
significantly greater accuracy than the classic Sommerfeld radiation condition with
only a modest increase to the computation time.
Type
Thesis
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Distribution Statement
Approved for public release; distribution is unlimited.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.