High-Order Non-Reflecting Boundary Conditions for Dispersive Waves in Cartesian, Cylindrical and Spherical Coordinate Systems
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.
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
Rights
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.Collections
Related items
Showing items related by title, author, creator and subject.
-
The effects of a klyston on a high-current, high-gain free electron laser at SLAC
Winter, Gordon H. (Monterey, California. Naval Postgraduate School, 1995-06);A high current, high power X ray Free Electron Laser (FEL) using the Stanford linear accelerator (SLAC) as an electron beam source has been proposed. Such a system will provide the scientific community with its first ... -
Finite Element Analysis of Time-Dependent Semi-Infinite Wave-Guides with High-Order Boundary Treatment
Neta, Beny; Givoli, Dan; Patlashenko, Igor (2003-02);A new Finite Element (FE) scheme is proposed for the solution of time-dependent semi- infinite wave-guide problems, in dispersive or non-dispersive media. The semi-infinite do- main is truncated via an artificial boundary ... -
Source location in thin plates using crosscorrelation.
Ziola, Steven Michael (Monterey, California. Naval Postgraduate School, 1991-12);Alternative methods to first threshold crossing techniques for acoustic emission (AE) source location in dispersive media are presented. The accuracy of source location in dispersive media can be improved by locating ...