Date of Award:

5-2016

Document Type:

Dissertation

Degree Name:

Doctor of Philosophy (PhD)

Department:

Mechanical and Aerospace Engineering

Committee Chair(s)

Aaron Katz

Committee

Aaron Katz

Committee

Robert Spall

Committee

Heng Ban

Committee

Barton Smith

Committee

Michael Johnson

Abstract

The strand-Cartesian grid approach is a unique method of generating and computing fluid dynamic simulations. The strand-Cartesian approach provides highly desirable qualities of fully-automatic grid generation and high accuracy. This work focuses on development of a high-accuracy methodology (high-order scheme) on strand grids for two and three dimensions.

In this work, the high-order scheme is extended to high-Reynolds number computations in both two and three dimensions with the Spalart-Allmaras turbulence model and the Menter SST turbulence model. In addition, a simple limiter is explored to allow the high-order scheme to accurately predict discontinuous flows.

Extensive verification and validation is conducted in two and three dimensions to determine the accuracy and fidelity of the scheme for a number of different cases. Verification studies show that the scheme is indeed high-order for various flows. Cost studies show that in three-dimensions, the high-order scheme required only 30% more computational time than a traditional scheme. In order to overcome meshing issues at sharp corners and other small-scale features, a unique approach to traditional geometry, coined “asymptotic geometry,” is explored

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