In our work we analyze and implement numerical schemes for the infinite Prandtl number model for convection. This model describes the convection that is a potential driving force
behind the flow and temperature of the Earth's mantle. There are many schemes available, but most are given with no mention of their ability to adequately capture the long time statistical
properties of the model. We investigate schemes with the potential to actually capture these statistics. We further show numerically that our schemes align with current knowledge of the
model's characteristics at low Rayleigh numbers. / A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy. / Fall Semester 2015. / July 30, 2015. / infinite, long time, numerical, Prandtl, statistical / Includes bibliographical references. / Xiaoming Wang, Professor Directing Dissertation; Qing-Xiang Amy Sang, University Representative; Bettye Anne Case, Committee Member; Brian Ewald,
Committee Member; Max Gunzburger, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_291282 |
| Contributors | Woodruff, Celestine (authoraut), Wang, Xiaoming (professor directing dissertation), Sang, Qing-Xiang Amy (university representative), Case, Bettye Anne (committee member), Ewald, Brian D. (committee member), Gunzburger, Max D. (committee member), Florida State University (degree granting institution), College of Arts and Sciences (degree granting college), Department of Mathematics (degree granting department) |
| Publisher | Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (99 pages), computer, application/pdf |
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