This thesis presents a Linearized Euler Equation (LEE) solver that was developed for OpenFOAM. OpenFOAM is an open-source Computational Fluid Dynamics (CFD) package that is widely used by industry and academia. The LEE’s are a set of equations used in Computational Aeroacoustics (CAA). The LEE’s can solve for the acoustic solution directly and quickly. The solver developed, named leeFoam, was tested against analytical solutions to verify accuracy and then was utilized to predict the acoustics of a heated supersonic rectangular jet. The rectangular jet (RJET) results were compared against experimental data.
The results from this work show that OpenFOAM can be used as an effective platform to develop CAA specific solvers. The leeFoam solver successfully predicted acoustic solutions accurately and quickly. To aid in the production of accurate results several other tools were developed to go along with the leeFoam solver to enhance its capabilities. This included boundary dampening to prevent reflections and artificial viscosity to aid in stability. In all this allowed the leeFoam solver to produce accurate acoustic CAA results and this code could be used by any professional looking to run the Linearized Euler Equation for there workflow.
","abstract_html":"<p>This thesis presents a Linearized Euler Equation (LEE) solver that was developed for OpenFOAM. OpenFOAM is an open-source Computational Fluid Dynamics (CFD) package that is widely used by industry and academia. The LEE’s are a set of equations used in Computational Aeroacoustics (CAA). The LEE’s can solve for the acoustic solution directly and quickly. The solver developed, named leeFoam, was tested against analytical solutions to verify accuracy and then was utilized to predict the acoustics of a heated supersonic rectangular jet. The rectangular jet (RJET) results were compared against experimental data.</p> <p>The results from this work show that OpenFOAM can be used as an effective platform to develop CAA specific solvers. The leeFoam solver successfully predicted acoustic solutions accurately and quickly. To aid in the production of accurate results several other tools were developed to go along with the leeFoam solver to enhance its capabilities. This included boundary dampening to prevent reflections and artificial viscosity to aid in stability. In all this allowed the leeFoam solver to produce accurate acoustic CAA results and this code could be used by any professional looking to run the Linearized Euler Equation for there workflow.</p>","abstract_has_math":false,"creators":["Good, Patrick"],"institution":null,"degree_name":"Master of Science in Aerospace Engineering","degree_level":"Thesis - Open Access","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023-04-01T07:00:00Z","date_published":"2023-04-01T07:00:00Z","updated_at":"2026-07-27T19:25:45Z","subjects":["Computational Aeroacoustics","Linearized Euler Equation (LEE)","OpenFOAM","e Computational Fluid Dynamics (CFD)","The rectangular jet (RJET)","Aerodynamics and Fluid Mechanics","Aerospace Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://commons.erau.edu/edt/742","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Good, Patrick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Aerospace Engineering"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Computational Aeroacoustics","Linearized Euler Equation (LEE)","OpenFOAM","e Computational Fluid Dynamics (CFD)","The rectangular jet (RJET)","Aerodynamics and Fluid Mechanics","Aerospace Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://commons.erau.edu/edt/742"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This thesis presents a Linearized Euler Equation (LEE) solver that was developed for OpenFOAM. OpenFOAM is an open-source Computational Fluid Dynamics (CFD) package that is widely used by industry and academia. The LEE’s are a set of equations used in Computational Aeroacoustics (CAA). The LEE’s can solve for the acoustic solution directly and quickly. The solver developed, named leeFoam, was tested against analytical solutions to verify accuracy and then was utilized to predict the acoustics of a heated supersonic rectangular jet. The rectangular jet (RJET) results were compared against experimental data.
The results from this work show that OpenFOAM can be used as an effective platform to develop CAA specific solvers. The leeFoam solver successfully predicted acoustic solutions accurately and quickly. To aid in the production of accurate results several other tools were developed to go along with the leeFoam solver to enhance its capabilities. This included boundary dampening to prevent reflections and artificial viscosity to aid in stability. In all this allowed the leeFoam solver to produce accurate acoustic CAA results and this code could be used by any professional looking to run the Linearized Euler Equation for there workflow.
"]},{"key":"dc:title","label":"Title","values":["The Linearized Euler Equations for Predicting Supersonic Jet Noise of a Rectangular Jet Using OpenFOAM"]}]}],"canonical_facts":{"dc:creator":["Good, Patrick"],"dc:description.abstract":["This thesis presents a Linearized Euler Equation (LEE) solver that was developed for OpenFOAM. OpenFOAM is an open-source Computational Fluid Dynamics (CFD) package that is widely used by industry and academia. The LEE’s are a set of equations used in Computational Aeroacoustics (CAA). The LEE’s can solve for the acoustic solution directly and quickly. The solver developed, named leeFoam, was tested against analytical solutions to verify accuracy and then was utilized to predict the acoustics of a heated supersonic rectangular jet. The rectangular jet (RJET) results were compared against experimental data.
The results from this work show that OpenFOAM can be used as an effective platform to develop CAA specific solvers. The leeFoam solver successfully predicted acoustic solutions accurately and quickly. To aid in the production of accurate results several other tools were developed to go along with the leeFoam solver to enhance its capabilities. This included boundary dampening to prevent reflections and artificial viscosity to aid in stability. In all this allowed the leeFoam solver to produce accurate acoustic CAA results and this code could be used by any professional looking to run the Linearized Euler Equation for there workflow.
"],"dc:identifier":["https://commons.erau.edu/edt/742"],"dc:subject":["Computational Aeroacoustics","Linearized Euler Equation (LEE)","OpenFOAM","e Computational Fluid Dynamics (CFD)","The rectangular jet (RJET)","Aerodynamics and Fluid Mechanics","Aerospace Engineering"],"dc:title":["The Linearized Euler Equations for Predicting Supersonic Jet Noise of a Rectangular Jet Using OpenFOAM"],"thesis:degree_discipline":["Aerospace Engineering"],"thesis:degree_level":["Thesis - Open Access"],"thesis:degree_name":["Master of Science in Aerospace Engineering"]},"updated_at":"2026-07-27T19:25:45Z"}