Author ORCID Identifier
https://orcid.org/0009-0002-9515-8814
Date Available
12-11-2024
Year of Publication
2024
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Advisor
Dr. Peter Hislop
Abstract
Automated and robust structured curvilinear overset grid generation remains a significant challenge for the application of computational fluid dynamics. This thesis intro- duces a specialized anisotropic Mach cone aligned adaptation algorithm for low-boom simulations and an automated procedure for generating structured curvilinear overset grids for immersed boundary simulations. Results demonstrate that anisotropic mesh adaptation can reduce computational resource usage by over 50% while maintaining sonic boom prediction accuracy across the entire sonic boom domain compared to user-constructed Mach cone aligned grids. The proposed immersed overset grid gen- eration procedure eliminates the need for complex surface generation algorithms, producing grids suitable for structured curvilinear immersed boundary simulations. Additionally, a novel geometry-based anisotropic elliptic adaptation methodology is presented, along with an efficient parallel three-dimensional interpolation algorithm. A generalized control function blending formulation for elliptic mesh redistributions further expands the applicability of anisotropic adaptation to complex configurations. Applying this novel geometry-based adaptation procedure to a complex lobed mixer geometry is shown to remove the 40% reduction in time-step size and 15% increase in degrees of freedom that result from traditional manual overset grid generation. This geometry-based adaptation approach, tested within the automatic immersed grid generation procedure, enables up to an order of magnitude increase in geometry resolution.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2024.470
Funding Information
- The National Aeronautics and Space Administration Commercial Supersonic Technology Project (2019-2024)
- The National Aeronautics and Space AdministrationTransformation Tools and Technologies Project (2019-2024)
Recommended Citation
Ashby, Chase, "Advancements in Elliptic Mesh Redistribution and Automated Overset Grid Generation for Computational Fluid Dynamics" (2024). Theses and Dissertations--Mathematics. 118.
https://uknowledge.uky.edu/math_etds/118
Included in
Aerodynamics and Fluid Mechanics Commons, Aeronautical Vehicles Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
