Date of Award:
8-2026
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mechanical and Aerospace Engineering
Committee Chair(s)
Douglas Hunsaker
Committee
Douglas Hunsaker
Committee
Som Dutta
Committee
Stephen Whitmore
Committee
Larry Gardner
Abstract
The Parabolized Navier-Stokes (PNS) method is a specialized computational approach for solving the equations that govern fluid flowing faster than the speed of sound, known as supersonic flow. By leveraging unique physical properties of supersonic environments—specifically that information cannot travel upstream—this method allows for significantly more efficient calculations than traditional approaches. Supersonic flows are important for many military and civilian applications including hypersonic weapons, high-speed passenger aircraft, and reentry. This thesis provides a comprehensive review of the two-dimensional PNS formulation, detailing the mathematical derivation and its practical implementation for solving flow problems. Through performance analysis and error assessment, this research identifies both the strengths and current limitations of the method. This thesis establishes a foundation for future research into the PNS method.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Freeman, Logan B., "Theory, Implementation, and Practical Applications of a Modern Parabolized Navier-Stokes Code" (2026). All Graduate Theses and Dissertations, Fall 2023 to Present. 819.
https://digitalcommons.usu.edu/etd2023/819
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