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Surface waves in elastic material
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2014 (English)Independent thesis Advanced level (degree of Master (Two Years)), 30 credits / 45 HE creditsStudent thesis
Abstract [en]

A finite volume method based solver for Rayleigh waves in two dimensional elastic materials is constructed  by using the Conservation Laws Package (Clawpack). The Lax-Wendroff scheme is implemented and only first-order accuracy is achieved for the Rayleigh wave problems by the default elastic wave solver in Clawpack. A Lamb's problem is solved by Clawpack and some instabilities occur in the cases of almost incompressible materials. The Rayleigh wave problem in complex geometries is transformed by a smooth mapping function and solved by using a fourth-order summation-by-parts (SBP) operators  with a simultaneous approximation term (SAT) method. The stability is proved by the energy method in the continuous and discrete form. The numerical experiment shows that the curved boundary has influences on the magnitude and phase of the Rayleigh waves.

Place, publisher, year, edition, pages
IT, 14 040
National Category
Engineering and Technology
URN: urn:nbn:se:uu:diva-227640OAI: diva2:730684
Educational program
Master Programme in Computational Science
Available from: 2014-06-29 Created: 2014-06-29 Last updated: 2014-06-29Bibliographically approved

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