Degree Type

Dissertation

Date of Award

2018

Degree Name

Doctor of Philosophy

Department

Aerospace Engineering

Major

Aerospace Engineering; Wind Energy Science, Engineering, and Policy

First Advisor

R. G. Rajagopalan

Abstract

The runtime of unsteady incompressible flows were reduced through different techniques in the formulation and solution of the governing equations. The implicit Runge-Kutta based IRK-SIMPLER algorithm was developed and compared to the Crank-Nicholson based SIMPLER and the explicit RK-SIMPLER algorithms. The IRK-SIMPLER algorithm was tested for steady and unsteady problems, both on structured Cartesian and unstructured vertex-centered median-dual grids, and proved to be an accurate and robust algorithm that also required less runtime. Further, a second order unstructured Flux Corrected Method improved the accuracy of flux calculation with minimal/negligible increase in runtime. The Flux Corrected Method provided a small stencil scheme that required little additional runtime compared to the commonly used Power Law scheme. Wind turbine cases were simulated with momentum source modeling. Both steady rotor models and three variations of the unsteady momentum source model were tested. The power predicted by the simulations matched experiments well, and for the cases presented, the simulations required 447 times less runtime than traditional methods.

DOI

https://doi.org/10.31274/etd-180810-5983

Copyright Owner

Matthew Vincent Fischels

Language

en

File Format

application/pdf

File Size

241 pages

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