Convolution quadrature methods for time domain acoustic wave propagation in layered media and composite materials

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dc.contributor.advisorJerez Hanckes, Carlos F.
dc.contributor.authorLabarca Figueroa, Ignacio Javier
dc.contributor.otherPontificia Universidad Católica de Chile. Escuela de Ingeniería
dc.date.accessioned2022-10-05T17:01:35Z
dc.date.available2022-10-05T17:01:35Z
dc.date.issued2019
dc.descriptionTesis (Master of Science in Engineering)--Pontificia Universidad Católica, 2022
dc.description.abstractWe present a novel computational scheme to solve time domain acoustic scattering in two particular situations, using multistep and multistage Convolution Quadrature (CQ) methods for a time domain discretization. First, we study two dimensional layered media problems, i.e. scattering from unbounded penetrable interfaces. The proposed methodology relies on the Windowed Green Function method, which reduces a second-kind boundary integral equation to a bounded interface, introducing errors that decay superalgebraically as the window size increases. The boundary integral equation is then solved by a high-order Nystr¨om method based on Alpert’s quadrature rule. A variety of numerical examples, including wave propagation on open waveguides, demonstrate the capabilities of the proposed methodology. The second problem that we study is the one of scattering over composite materials in two dimensions, i.e. penetrable obstacles displaying triple points are found. We rely on a Multiple Traces Formulation (MTF), discretized using a spectral Galerkin method based on second kind Chebyshev polynomials. Although spectral convergence in space is not expected due to the presence of Lipschitz domains, the method remains as a high-order choice to solve the MTF, resulting in an efficient combination with a CQ scheme. Numerical examples are shown, with different configurations of geometries and parameters.
dc.format.extentxiii, 88 páginas
dc.fuente.origenSRIA
dc.identifier.doi10.7764/tesisUC/ING/64977
dc.identifier.urihttps://doi.org/10.7764/tesisUC/ING/64977
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/64977
dc.information.autorucEscuela de Ingeniería ; Jerez Hanckes, Carlos F. ; S/I ; 13660125
dc.information.autorucEscuela de Ingeniería ; Labarca Figueroa, Ignacio Javier ; S/I ; 222913
dc.language.isoen
dc.nota.accesoContenido completo
dc.rightsacceso abierto
dc.subjectConvolution quadraturees_ES
dc.subjectTime domain acoustic scatteringes_ES
dc.subjectWave propagationes_ES
dc.subjectBoundary integral equationses_ES
dc.subjectMultiple traces formulationes_ES
dc.subjectLayered media scatteringes_ES
dc.subjectWaveguideses_ES
dc.subject.ddc620
dc.subject.deweyIngenieríaes_ES
dc.titleConvolution quadrature methods for time domain acoustic wave propagation in layered media and composite materialses_ES
dc.typetesis de maestría
sipa.codpersvinculados13660125
sipa.codpersvinculados222913
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