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dc.contributor.advisor Symes, William W.
dc.creatorBencomo, Mario Javier
dc.date.accessioned 2016-01-06T20:25:31Z
dc.date.available 2016-01-06T20:25:31Z
dc.date.created 2015-05
dc.date.issued 2015-04-20
dc.date.submitted May 2015
dc.identifier.citation Bencomo, Mario Javier. "Discontinuous Galerkin and Finite Difference Methods for the Acoustic Equations with Smooth Coefficients." (2015) Master’s Thesis, Rice University. https://hdl.handle.net/1911/87708.
dc.identifier.urihttps://hdl.handle.net/1911/87708
dc.description.abstract This thesis analyzes the computational efficiency of two types of numerical methods: finite difference (FD) and discontinuous Galerkin (DG) methods, in the context of 2D acoustic equations in pressure-velocity form with smooth coefficients. The acoustic equations model propagation of sound waves in elastic fluids, and are of particular interest to the field of seismic imaging. The ubiquity of smooth trends in real data, and thus in the acoustic coefficients, validates the importance of this novel study. Previous work, from the discontinuous coefficient case of a two-layered media, demonstrates the efficiency of DG over FD methods but does not provide insight for the smooth coefficient case. Floating point operation (FLOPs) counts are compared, relative to a prescribed accuracy, for standard 2-2 and 2-4 staggered grid FD methods, and a myriad of standard DG implementations. This comparison is done in a serial framework, where FD code is implemented in C while DG code is written in Matlab. Results show FD methods considerably outperform DG methods in FLOP count. More interestingly, implementations of quadrature based DG with mesh refinement (for lower velocity zones) yield the best results in the case of highly variable media, relative to other DG methods.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectstaggered finite difference
discontinuous Galerkin
Acoustic equations
smooth coefficients
dc.title Discontinuous Galerkin and Finite Difference Methods for the Acoustic Equations with Smooth Coefficients
dc.type Thesis
dc.contributor.committeeMember Warburton, Timothy C
dc.contributor.committeeMember Riviere, Beatrice M
dc.date.updated 2016-01-06T20:25:31Z
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts


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