Publication Date
2024
Document Type
Thesis
Committee Members
George Huang, Ph.D., P.E. (Advisor); Jose Camberos, Ph.D., P.E. (Committee Member); Nicholas Bisek, Ph.D. (Committee Member); James Menart, Ph.D. (Other)
Degree Name
Master of Science in Aerospace Systems Engineering (MSASE)
Abstract
The development of high order numerical schemes has been instrumental in advancing computational fluid dynamics (CFD), particularly for applications requiring high resolution of discontinuities and complex flow phenomena prevalent in high-speed flows. This thesis introduces the Pade-ENO scheme, a high-order method that integrates Essentially Non-Oscillatory (ENO) techniques with compact Pade stencils to achieve superior accuracy, up to 7th order, while maintaining stability in harsh environments. The scheme’s performance is evaluated through benchmark tests, including the advection equation, Burgers’ equation, and the Euler equations. For high Mach number flows, such as the sod shock tube the Pade-ENO method demonstrates its ability to resolve sharp gradients and discontinuities with no smoothing required. Numerical results highlight the scheme’s robustness and its potential as a powerful tool for high-speed aerodynamic simulations, paving the way for future advancements in CFD modeling.
Page Count
91
Department or Program
Department of Mechanical and Materials Engineering
Year Degree Awarded
2024
Copyright
Copyright 2024, all rights reserved. My ETD will be available under the "Fair Use" terms of copyright law.
