{"id":{"repo_id":"utc","oai_identifier":"oai:scholar.utc.edu:theses-1577"},"canonical_url":"https://search.dev.ndltd.org/etd/utc/oai:scholar.utc.edu:theses-1577","repository":{"repo_id":"utc","name":"University of Tennessee - Chattanooga","base_url":"https://scholar.utc.edu/do/oai/"},"display":{"title":"A parabolized Navier-Stokes method for wind farm applications","abstract":"Fluid flow simulations play an important role in the wind industry. With the development of large wind farms, flow simulations through an entire wind farm are becoming a necessity. These are required for designing the layout of new wind farms in the development stage and for forecasting power production from the existing ones for operational purposes. Conventional Navier-Stokes simulations (commonly referred to as CFD simulations) are computationally very expensive since they require a supercomputer with runtimes of several weeks. A Parabolized Navier-Stokes (PNS) method is developed and implemented in this study. The developed PNS method requires less stringent approximations as compared to the existing parabolic methods and incorporates more physics. A wind turbine model is developed and coupled with the PNS method for simulating wind turbines and entire wind farms. The wind turbine model is adapted for spatial marching and is based on the Actuator Line rotor model and Blade Element Momentum theory. The developed PNS method is validated and verified using several test cases and a wind farm simulation on a desktop computer has a runtime of only several hours.","abstract_html":"Fluid flow simulations play an important role in the wind industry. With the development of large wind farms, flow simulations through an entire wind farm are becoming a necessity. These are required for designing the layout of new wind farms in the development stage and for forecasting power production from the existing ones for operational purposes. Conventional Navier-Stokes simulations (commonly referred to as CFD simulations) are computationally very expensive since they require a supercomputer with runtimes of several weeks. A Parabolized Navier-Stokes (PNS) method is developed and implemented in this study. The developed PNS method requires less stringent approximations as compared to the existing parabolic methods and incorporates more physics. A wind turbine model is developed and coupled with the PNS method for simulating wind turbines and entire wind farms. The wind turbine model is adapted for spatial marching and is based on the Actuator Line rotor model and Blade Element Momentum theory. The developed PNS method is validated and verified using several test cases and a wind farm simulation on a desktop computer has a runtime of only several hours.","abstract_has_math":false,"creators":["Mittal, Anshul"],"institution":"University of Tennessee at Chattanooga","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Taylor, Lafayette K.","Briley, W. Roger; Nichols, Stephen; Sreenivas, Kidambi; Anderson, William K.; Matthews, John","College of Engineering and Computer Science"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T05:46:28Z","subjects":["Wind power plants","Wind turbines"],"languages":["English","eng"],"rights":[],"rights_urls":["https://rightsstatements.org/page/InC/1.0/?language=en"],"identifier_entries":[]},"links":{"outbound_url":"https://scholar.utc.edu/theses/438","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Taylor, Lafayette K.","Briley, W. Roger; Nichols, Stephen; Sreenivas, Kidambi; Anderson, William K.; Matthews, John","College of Engineering and Computer Science"]},{"key":"dc:creator","label":"Author","values":["Mittal, Anshul"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-12-01T08:00:00Z"]},{"key":"dc:publisher","label":"Institution","values":["University of Tennessee at Chattanooga","Chattanooga (Tenn.)"]},{"key":"dc:relation","label":"Dc Relation","values":["Masters Theses and Doctoral Dissertations"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral dissertations","Text"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Wind power plants","Wind turbines"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["https://rightsstatements.org/page/InC/1.0/?language=en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholar.utc.edu/theses/438"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Dept. of Computational Engineering","Ph. D.; A dissertation submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Doctor of Philosophy."]},{"key":"dc:description.abstract","label":"Abstract","values":["Fluid flow simulations play an important role in the wind industry. With the development of large wind farms, flow simulations through an entire wind farm are becoming a necessity. These are required for designing the layout of new wind farms in the development stage and for forecasting power production from the existing ones for operational purposes. Conventional Navier-Stokes simulations (commonly referred to as CFD simulations) are computationally very expensive since they require a supercomputer with runtimes of several weeks. A Parabolized Navier-Stokes (PNS) method is developed and implemented in this study. The developed PNS method requires less stringent approximations as compared to the existing parabolic methods and incorporates more physics. A wind turbine model is developed and coupled with the PNS method for simulating wind turbines and entire wind farms. The wind turbine model is adapted for spatial marching and is based on the Actuator Line rotor model and Blade Element Momentum theory. The developed PNS method is validated and verified using several test cases and a wind farm simulation on a desktop computer has a runtime of only several hours."]},{"key":"dc:title","label":"Title","values":["A parabolized Navier-Stokes method for wind farm applications"]}]}],"canonical_facts":{"dc:contributor":["Taylor, Lafayette K.","Briley, W. Roger; Nichols, Stephen; Sreenivas, Kidambi; Anderson, William K.; Matthews, John","College of Engineering and Computer Science"],"dc:creator":["Mittal, Anshul"],"dc:date":["2015-12-01T08:00:00Z"],"dc:description":["Dept. of Computational Engineering","Ph. D.; A dissertation submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Doctor of Philosophy."],"dc:description.abstract":["Fluid flow simulations play an important role in the wind industry. With the development of large wind farms, flow simulations through an entire wind farm are becoming a necessity. These are required for designing the layout of new wind farms in the development stage and for forecasting power production from the existing ones for operational purposes. Conventional Navier-Stokes simulations (commonly referred to as CFD simulations) are computationally very expensive since they require a supercomputer with runtimes of several weeks. A Parabolized Navier-Stokes (PNS) method is developed and implemented in this study. The developed PNS method requires less stringent approximations as compared to the existing parabolic methods and incorporates more physics. A wind turbine model is developed and coupled with the PNS method for simulating wind turbines and entire wind farms. The wind turbine model is adapted for spatial marching and is based on the Actuator Line rotor model and Blade Element Momentum theory. The developed PNS method is validated and verified using several test cases and a wind farm simulation on a desktop computer has a runtime of only several hours."],"dc:identifier":["https://scholar.utc.edu/theses/438"],"dc:language":["English","eng"],"dc:publisher":["University of Tennessee at Chattanooga","Chattanooga (Tenn.)"],"dc:relation":["Masters Theses and Doctoral Dissertations"],"dc:rights":["https://rightsstatements.org/page/InC/1.0/?language=en"],"dc:subject":["Wind power plants","Wind turbines"],"dc:title":["A parabolized Navier-Stokes method for wind farm applications"],"dc:type":["Doctoral dissertations","Text"]},"updated_at":"2026-07-24T05:46:28Z"}