The central purpose of this thesis is to explore the behavior of the numerical solution of the Cold- Ion model with shock forming conditions in one and two dimensions. In the one
dimensional case, a comparison between the numerical solution of the Vlasov equation is made. It is observed that the Cold-Ion model is no longer representative of the cold-ion limit of the
Vlasov-Poisson equation when a spike forms in the solution. It was found that the lack of a spike in the solution of the Cold-Ion model does not necessarily mean that a bifurcation has not
formed in the solution of the Vlasov-Poisson equation. It was also determined that the spike present in the solution of the one dimensional problem appears again in the two dimensional
simulation. The findings presented in this thesis opens up the question of determining which initial and boundary conditions of the Cold-Ion model causes a shock to form in the
solution. / A Thesis submitted to the Department of Scientiļ¬c Computing in partial fulfillment of the requirements for the degree of Master of Science. / Fall Semester, 2014. / October 15, 2014. / Cold-Ion, Plasma, Shocks, Vlasov-Poisson / Includes bibliographical references. / Max Gunzburger, Professor Directing Thesis; Janet Peterson, Committee Member; Sachin Shanbhag, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_252816 |
| Contributors | Cheung, James (authoraut), Gunzburger, Max D. (professor directing thesis), Peterson, Janet S. (committee member), Shanbhag, Sachin (committee member), Florida State University (degree granting institution), College of Arts and Sciences (degree granting college), Department of Scientific Computing (degree granting department) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (79 pages), computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
Page generated in 0.0013 seconds