Sequentially Optimized Meshfree Approximation as a New Computation Fluid Dynamics Method

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dc.contributor.advisorMeade, Andrew J., Jr.
dc.contributor.committeeMemberAkin, John Edward.
dc.contributor.committeeMemberEmbree, Mark
dc.contributor.committeeMemberHouchens, Brent C.
dc.creatorWilkinson, Matthew
dc.date.accessioned2012-09-06T04:25:35Z
dc.date.accessioned2012-09-06T04:25:46Z
dc.date.available2012-09-06T04:25:35Z
dc.date.available2012-09-06T04:25:46Z
dc.date.created2012-05
dc.date.issued2012-09-05
dc.date.submittedMay 2012
dc.date.updated2012-09-06T04:25:47Z
dc.description.abstractThis thesis presents the Sequentially Optimized Meshfree Approximation (SOMA) method, a new and powerful Computational Fluid Dynamics (CFD) solver. While standard computational methods can be faster and cheaper that physical experimentation, both in cost and work time, these methods do have some time and user interaction overhead which SOMA eliminates. As a meshfree method which could use adaptive domain refinement methods, SOMA avoids the need for user generated and/or analyzed grids, volumes, and meshes. Incremental building of a feed-forward artificial neural network through machine learning to solve the flow problem significantly reduces user interaction and reduces computational cost. This is done by avoiding the creation and inversion of possibly dense block diagonal matrices and by focusing computational work on regions where the flow changes and ignoring regions where no changes occur.
dc.format.mimetypeapplication/pdf
dc.identifier.citationWilkinson, Matthew. "Sequentially Optimized Meshfree Approximation as a New Computation Fluid Dynamics Method." (2012) Diss., Rice University. <a href="https://hdl.handle.net/1911/64673">https://hdl.handle.net/1911/64673</a>.
dc.identifier.slug123456789/ETD-2012-05-138
dc.identifier.urihttps://hdl.handle.net/1911/64673
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectAerospace engineering
dc.subjectComputational fluid dynamics
dc.subjectMechanical engineering
dc.subjectMeshfree methods
dc.subjectSequential optimization
dc.subjectNeural networks
dc.titleSequentially Optimized Meshfree Approximation as a New Computation Fluid Dynamics Method
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMechanical Engineering and Materials Science
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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