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Acoustic wave propagation in complicated geometries and heterogeneous media
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
2014 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 61, 90-118 p.Article in journal (Refereed) Published
Place, publisher, year, edition, pages
2014. Vol. 61, 90-118 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-217300DOI: 10.1007/s10915-014-9817-1ISI: 000341627100005OAI: oai:DiVA.org:uu-217300DiVA: diva2:692741
Available from: 2014-01-29 Created: 2014-01-31 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Difference methods with boundary and interface treatment for wave equations
Open this publication in new window or tab >>Difference methods with boundary and interface treatment for wave equations
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Wave motion in acoustic and elastic media is highly influenced by the presence of outer boundaries and media interfaces. The solutions to the equations governing the wave motion at any point in the domain as a function of time can be sought either through analytical or numerical techniques.

This thesis proposes provably stable finite difference schemes to accurately investigate wave interaction with boundaries and interfaces. Schemes for the acoustic wave equation in three spatial coordinates, general domains and heterogeneous media and the elastic wave equation in two spatial dimensions and layered media are presented. A study of the Rayleigh surface wave in almost incompressible media is carried through. Extensive numerical experiments designed to verify stability and accuracy as well as applicability to nontrivial boundary and interface phenomena are given.

Place, publisher, year, edition, pages
Uppsala University, 2013
Series
Information technology licentiate theses: Licentiate theses from the Department of Information Technology, ISSN 1404-5117 ; 2013-006
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
urn:nbn:se:uu:diva-209139 (URN)
Supervisors
Available from: 2013-10-22 Created: 2013-10-14 Last updated: 2017-08-31Bibliographically approved
2. Numerics of Elastic and Acoustic Wave Motion
Open this publication in new window or tab >>Numerics of Elastic and Acoustic Wave Motion
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The elastic wave equation describes the propagation of elastic disturbances produced by seismic events in the Earth or vibrations in plates and beams. The acoustic wave equation governs the propagation of sound. The description of the wave fields resulting from an initial configuration or time dependent forces is a valuable tool when gaining insight into the effects of the layering of the Earth, the propagation of earthquakes or the behavior of underwater sound. In the most general case exact solutions to both the elastic wave equation and the acoustic wave equation are impossible to construct. Numerical methods that produce approximative solutions to the underlaying equations now become valuable tools. In this thesis we construct numerical solvers for the elastic and acoustic wave equations with focus on stability, high order of accuracy, boundary conditions and geometric flexibility. The numerical solvers are used to study wave boundary interactions and effects of curved geometries. We also compare the methods that we have constructed to other methods for the simulation of elastic and acoustic wave motion.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2016. 32 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1322
Keyword
finite differences, stability, high order accuracy, elastic wave equation, acoustic wave equation
National Category
Computational Mathematics
Research subject
Scientific Computing with specialization in Numerical Analysis
Identifiers
urn:nbn:se:uu:diva-267135 (URN)978-91-554-9418-6 (ISBN)
Public defence
2016-01-18, 2446, Polacksbacken, Lägerhyddsvägen 2, Uppsala, 10:00 (English)
Opponent
Supervisors
Available from: 2015-12-17 Created: 2015-11-18 Last updated: 2016-01-13

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Virta, KristofferMattsson, Ken

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