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Study of Shock Formation and Propagation in the Cold-Ion Model

Title: A Study of Shock Formation and Propagation in the Cold-Ion Model.
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Name(s): Cheung, James, author
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
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2014
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (79 pages)
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-9158 (IID)
Submitted Note: A Thesis submitted to the Department of Scientific Computing in partial fulfillment of the requirements for the degree of Master of Science.
Degree Awarded: Fall Semester, 2014.
Date of Defense: October 15, 2014.
Keywords: Cold-Ion, Plasma, Shocks, Vlasov-Poisson
Bibliography Note: Includes bibliographical references.
Advisory Committee: Max Gunzburger, Professor Directing Thesis; Janet Peterson, Committee Member; Sachin Shanbhag, Committee Member.
Subject(s): Applied mathematics
Plasma (Ionized gases)
Physics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-9158
Owner Institution: FSU

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Cheung, J. (2014). A Study of Shock Formation and Propagation in the Cold-Ion Model. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-9158