Applications of an immersed boundary method on two-dimensional flows at low Reynolds numbers

The goal of this work is to investigate the application of the immersed boundary projection method to moving and deforming bodies using the ViscousFlow numerical package [1]. A brief overview discussing the method is presented. Three cases of verification are performed for a stationary NACA0012 at Re = 1000, a sinusoidally plunging NACA0012 at Re = 1000, and a canonical pitch-hold-return flat plate maneuver at Re = 100. The results of the first and third cases were in rough agreement, while the sinusoidally plunging case captured the general frequency of the solution with a noticeable discrepancy. A deformation case with a NACA 4-digit airfoil changing thickness from NACA0006 to NACA0012 at zero angle of attack was also performed. The airfoil starts as a NACA0006 from convective time t = 0 to 5 /∞, where c is the chord and ∞ the freestream velocity. Then, the linear deformation occurs for t = 5 to 10. At t = 10, the airfoil is a NACA0012 and stays stationary until t = 15. In additional simulations, the effect of changing the deformation duration was changed to have duration times of 5, 3, and 1. This work is intended to serve as a base for future work involving investigating morphing shapes used in flow control.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Aerospace Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2023

Author dc:creator

• Alhussaini, Mohammad Abdullah H

Contributors dc:contributor

• Bodony, Daniel J

• Immersed Boundary Method
• Ibm
• Ibpm
• Viscous Flow
• Low Reynolds Number

Statement dc:rights

• Copyright 2023 Mohammad Alhussaini

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/122079

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F122079