Ringing instabilities in particle methods

Update Item Information
Publication Type thesis
School or College College of Engineering
Department Computing
Author Gritton, Christopher E.
Title Ringing instabilities in particle methods
Date 2014-08
Description Particle methods have been used in fields ranging from fluid dynamics to plasma physics. The Particle-In-Cell method and the family of methods that are an extension of it are a combination of both Lagrangian and Eularian methods. In this thesis, we present a brief survey of some of the methods and their key components. We show the different methods by which spatial derviates are computed. We propose a method of showing how the so-called "ringing instabilies" associated with particle methods arise and a means to remove them. We also propose that the underlying nodal scheme plays a key role in the stability of the method. Lastly, dierent particle methods are explored through numerical simulations and compared against an analytic solution.
Type Text
Publisher University of Utah
Subject Particle methods; Ringing instabilities
Dissertation Institution University of Utah
Dissertation Name Master of Science
Language eng
Rights Management Copyright © Christopher E. Gritton 2014
Format Medium application/pdf
Format Extent 1,193,944 bytes
Identifier etd3/id/3099
ARK ark:/87278/s68p97qm
Setname ir_etd
ID 196667
Reference URL https://collections.lib.utah.edu/ark:/87278/s68p97qm