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Applications of the perfectly matched layers in a discontinuous fluid media
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis we study the applications of the PML in a multi-layered media. The PML is constructed  for the scalar wave equation and the convergence and stability of the continuous problem is studied using the normal mode analysis. A high order accurate semi-discrete problem is constructed  by approximating the spatial derivatives with high order finite difference operators  satisfying the summation-by-parts properties. To have a stable semi-discrete approximation of the problem, we impose boundary conditions as well as interface conditions using the simultaneous approximation term technique. In order to gain accuracy, a transformed interface condition is constructed for the PML. The semi-discrete problem is approximated using second order accurate central difference scheme. To achieve higher order accuracy we modify the time marching scheme to eliminate truncation errors. Numerical experiments are presented showing that using the proposed transformed interface conditions, higher order of accuracy and convergence are achieved.

Place, publisher, year, edition, pages
2012.
Series
IT, 12 023
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-176541OAI: oai:DiVA.org:uu-176541DiVA: diva2:535758
Educational program
Master Programme in Computational Science
Uppsok
Technology
Supervisors
Examiners
Available from: 2012-06-20 Created: 2012-06-20 Last updated: 2012-06-20Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
  • en-GB
  • en-US
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  • nn-NB
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Output format
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