High-Order Non-Reflecting Boundary Conditions for Dispersive Waves in Cartesian, Cylindrical and Spherical Coordinate Systems
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Authors
Joolen, Vince Van
Givoli, Dan
Neta, Beny
Subjects
Open boundary condition (OBC)
Finite element
Dispersive waves
Hagstrom–Hariharan (HH) OBCs
Finite element
Dispersive waves
Hagstrom–Hariharan (HH) OBCs
Advisors
Date of Issue
2003-08
Date
2003-08
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Abstract
Among the many areas of research that Professor Kawahara has been active in is the subject of open boundaries in which linear time-dependent dispersive waves are considered in an unbounded domain. The infinite domain is truncated via an artificial boundary B on which an open boundary condition (OBC) is imposed. In this paper, Higdon OBCs and Hagstrom – Hariharan (HH) OBCs are considered. Higdon- type conditions, originally implemented as low-order OBCs, are made accessible for any desired order via a new scheme. The higher-order Higdon OBC is then reformulated using auxiliary variables and made compatible for use with finite element (FE) methods. Methodologies for selecting Higdon parameters are also proposed. The performances of these schemes are demonstrated in two numerical examples. This is followed by a discussion of the HH OBC, which is applicable to non-dispersive media on cylindrical and spherical geometries. The paper extends this OBC to the “slightly dispersive” case.
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Description
International J. Computational Fluid Dynamics, 17(4), (2003), 263–274.
The article of record as published may be located at http://dx.doi.org/10.1080/1061856031000113608
The article of record as published may be located at http://dx.doi.org/10.1080/1061856031000113608
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Applied Mathematics
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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.