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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

Faculty

Dr. Peter Hislop

Faculty

Dr. Benjamin Braun

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)

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