In various astrophysical and high-energy density plasma flows, the evolution and behavior of the magnetic field can greatly influence flow morphology and result in transient phenomena. Many existing magnetohydrodynamic codes used in astrophysics and high energy density physics often ignore plasma self-magnetization and treat other physics related to magnetic field such as viscosity, thermal conduction, and resistivity as isotropic. This work is focused on constructing a computational model based on the Braginskii plasma transport theory, specifically the effects due to the Biermann battery process, and anisotropic resistive, viscous, and thermal transport processes. This model reflects on the ability of the magnetic field to modify the transport processes throughout the plasma, as well as enables the generation of spontaneous magnetic fields. For certain plasma configurations, the magnetic field dynamics brought on through these processes can come to dominate the evolution of the system at very small scales, leading to a stiff system of equations and necessitating an implicit solution to the magnetic induction equation. To relax this stiffness constraint, we implement a multigrid-based Crank-Nicolson implicit solver. We present implementation details of the corresponding computational model and its related verification results. We apply the verified model to the Kelvin-Helmholtz instability problem under high-energy density conditions. We carry out a series of numerical experiments and compare the obtained instability growth rates to benchmark results. We design a high-energy density shock tube experiment for conditions on the OMEGA laser and compare the obtained magnetic field growth to theoretically predicted results. / A Dissertation submitted to the Department Scientific Computing in partial fulfillment of the requirements for the degree of Doctor of Philosophy. / Summer Semester 2018. / July 16, 2018. / Biermann Battery, High-energy density, Instabilities, Kelvin-Helmholtz, Resistivity / Includes bibliographical references. / Tomasz Plewa, Professor Directing Dissertation; Mark Sussman, University Representative; Gordon Erlebacher, Committee Member; Chen Huang, Committee Member; Ming Ye, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_650717 |
| Contributors | Learn, Ryan Joseph (author), Plewa, Tomasz (professor directing dissertation), Sussman, Mark (university representative), Erlebacher, Gordon, 1957- (committee member), Huang, Chen (committee member), Ye, Ming (committee member), Florida State University (degree granting institution), College of Arts and Sciences (degree granting college), Department of Scientific Computing (degree granting departmentdgg) |
| Publisher | Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text, doctoral thesis |
| Format | 1 online resource (84 pages), computer, application/pdf |
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