Development of a Meshfree and Matrix-Free Method for Compressible Computational Fluid Dynamics

Simple item page
dc.contributor.advisorMeade, Andrew J.
dc.creatorVillarreal, Javier Alejandro
dc.date.accessioned2021-05-03T21:12:43Z
dc.date.available2021-05-03T21:12:43Z
dc.date.created2021-05
dc.date.issued2021-04-30
dc.date.submittedMay 2021
dc.date.updated2021-05-03T21:12:44Z
dc.description.abstractMeshfree methods aim to approximate accurate and efficient numerical solutions to partial differential equation problems without the necessity for a mesh, relieving some of the difficulties associated with mesh generation. In this thesis, a hybrid method is presented which alternates between an implicit sequential function approximation scheme and an explicit Runge-Kutta time marching scheme. In the sequential function approximation scheme, a solution is improved incrementally as a summation of Gaussian radial basis functions (RBFs) which have been optimized using a genetic algorithm. Spatial differentiation is performed under both schemes using a meshfree, local differential quadrature method. This thesis focuses on the governing equations for compressible flow problems relevant to aerospace applications, namely aerodynamics. Consequently, numerical methods from finite difference and finite volume methods are adapted to the meshless scheme to account for characteristics particular to these governing equations. The method presented is used to approximate solutions for some common validation cases and the results are compared with those found in the literature.
dc.format.mimetypeapplication/pdf
dc.identifier.citationVillarreal, Javier Alejandro. "Development of a Meshfree and Matrix-Free Method for Compressible Computational Fluid Dynamics." (2021) Diss., Rice University. <a href="https://hdl.handle.net/1911/110415">https://hdl.handle.net/1911/110415</a>.
dc.identifier.urihttps://hdl.handle.net/1911/110415
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.subjectMeshfree methods
dc.titleDevelopment of a Meshfree and Matrix-Free Method for Compressible Computational Fluid Dynamics
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMechanical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
VILLARREAL-DOCUMENT-2021.pdf
Size:
2.79 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.85 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.61 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Electronic Theses and Dissertations