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Transparent boundary conditions for parabolic equations in underwater acoustics
2002 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis the creation of discrete transparent boundary conditions (DTBC’s) for parabolic wave equations (PE’s) in underwater acoustics is treated. The DTBC’s are obtained by using analytical solutions to PE’s for a semi-infinite and homogeneous bottom. These new boundary conditions have been compared with the method of damping layers, which until recently was the common way to truncate an infinite bottom. Three testing examples were used for the evaluation: the Lloyd mirror, the Bucker wave-guide and the Jensen-Kuperman wedge. We used three different damping profiles in the evaluation, two linear and one non-linear. The DTBC’s showed to be much more time efficient and correct than the damping layer method. A first display of the functionality of the DTBC can be seen on the front page, which shows the evolution of a beam hitting a wedge shaped prism in a homogeneous water half-space. As seen from the figure the part of the beam that encounters the surface is reflected back while the bottom boundary is transparent.

Place, publisher, year, edition, pages
Keyword [en]
Technology, SPE, WAPE, TBC, DTBC, transparent boundary conditions, underwater acoustics, wave propagation model
Keyword [sv]
URN: urn:nbn:se:ltu:diva-47748ISRN: LTU-EX--02/152--SELocal ID: 543343a8-0464-4301-a6eb-fa936a844785OAI: diva2:1021076
Subject / course
Student thesis, at least 30 credits
Educational program
Space Engineering, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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