Performance Analysis of High-Order Numerical Methods for Time-Dependent Acoustic Field Modeling

Handle URI:
http://hdl.handle.net/10754/238360
Title:
Performance Analysis of High-Order Numerical Methods for Time-Dependent Acoustic Field Modeling
Authors:
Moy, Pedro Henrique Rocha
Abstract:
The discretization of time-dependent wave propagation is plagued with dispersion in which the wavefield is perceived to travel with an erroneous velocity. To remediate the problem, simulations are run on dense and computationally expensive grids yielding plausible approximate solutions. This work introduces an error analysis tool which can be used to obtain optimal simulation parameters that account for mesh size, orders of spatial and temporal discretizations, angles of propagation, temporal stability conditions (usually referred to as CFL conditions), and time of propagation. The classical criteria of 10-15 nodes per wavelength for second-order finite differences, and 4-5 nodes per wavelength for fourth-order spectral elements are shown to be unrealistic and overly-optimistic simulation parameters for different propagation times. This work analyzes finite differences, spectral elements, optimally-blended spectral elements, and isogeometric analysis.
Advisors:
Calo, Victor M. ( 0000-0002-1805-4045 )
Committee Member:
Efendiev, Yalchin; Sun, Shuyu ( 0000-0002-3078-864X )
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Program:
Earth Sciences and Engineering
Issue Date:
Jul-2012
Type:
Thesis
Appears in Collections:
Theses; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.advisorCalo, Victor M.en
dc.contributor.authorMoy, Pedro Henrique Rochaen
dc.date.accessioned2012-08-14T08:22:56Z-
dc.date.available2012-08-14T08:22:56Z-
dc.date.issued2012-07en
dc.identifier.urihttp://hdl.handle.net/10754/238360en
dc.description.abstractThe discretization of time-dependent wave propagation is plagued with dispersion in which the wavefield is perceived to travel with an erroneous velocity. To remediate the problem, simulations are run on dense and computationally expensive grids yielding plausible approximate solutions. This work introduces an error analysis tool which can be used to obtain optimal simulation parameters that account for mesh size, orders of spatial and temporal discretizations, angles of propagation, temporal stability conditions (usually referred to as CFL conditions), and time of propagation. The classical criteria of 10-15 nodes per wavelength for second-order finite differences, and 4-5 nodes per wavelength for fourth-order spectral elements are shown to be unrealistic and overly-optimistic simulation parameters for different propagation times. This work analyzes finite differences, spectral elements, optimally-blended spectral elements, and isogeometric analysis.en
dc.language.isoenen
dc.subjectDispersionen
dc.subjectFinite Elementsen
dc.subjectWave Propagationen
dc.subjectWave Equationen
dc.subjectSpectral Elementsen
dc.subjectIsogeometric Analysisen
dc.titlePerformance Analysis of High-Order Numerical Methods for Time-Dependent Acoustic Field Modelingen
dc.typeThesisen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberEfendiev, Yalchinen
dc.contributor.committeememberSun, Shuyuen
thesis.degree.disciplineEarth Sciences and Engineeringen
thesis.degree.nameMaster of Scienceen
dc.person.id113052en
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