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Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection

Title: Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection.
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Name(s): Woodruff, Celestine, author
Wang, Xiaoming, Ph. D., 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
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2015
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (99 pages)
Language(s): English
Abstract/Description: 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.
Identifier: FSU_2015fall_Woodruff_fsu_0071E_12813 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Fall Semester 2015.
Date of Defense: July 30, 2015.
Keywords: infinite, long time, numerical, Prandtl, statistical
Bibliography Note: Includes bibliographical references.
Advisory Committee: Xiaoming Wang, Professor Directing Dissertation; Qing-Xiang Amy Sang, University Representative; Bettye Anne Case, Committee Member; Brian Ewald, Committee Member; Max Gunzburger, Committee Member.
Subject(s): Applied mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_2015fall_Woodruff_fsu_0071E_12813
Owner Institution: FSU

Choose the citation style.
Woodruff, C. (2015). Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection. Retrieved from http://purl.flvc.org/fsu/fd/FSU_2015fall_Woodruff_fsu_0071E_12813