Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners
The hydraulic design of Francis turbines and pump-turbines is an expensive project-specific engineering effort that typically involves a direct iterative exploration of the design space. An inverse design method for turbomachinery has been previously introduced in the literature, and several recent...
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Format: | Article |
Language: | English |
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MDPI AG
2020-04-01
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Series: | Energies |
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Online Access: | https://www.mdpi.com/1996-1073/13/8/2020 |
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author | Sebastián Leguizamón François Avellan |
author_facet | Sebastián Leguizamón François Avellan |
author_sort | Sebastián Leguizamón |
collection | DOAJ |
description | The hydraulic design of Francis turbines and pump-turbines is an expensive project-specific engineering effort that typically involves a direct iterative exploration of the design space. An inverse design method for turbomachinery has been previously introduced in the literature, and several recent applications have demonstrated its advantages; however, only a commercial implementation of the method is currently available. In this work, an open-source implementation of the inverse design method is introduced. First, the governing equations in cylindrical and curvilinear coordinate systems are derived, consolidating the somewhat inconsistent formulations that are available in the literature. Then, a convergence analysis of the method is performed in order to characterize the behavior of the discretization error and deduce the mesh resolution requirements. A validation of the method output with respect to high-fidelity computational fluid dynamics simulations is then presented; it is demonstrated that the velocity fields are well predicted, the pressure distribution on the blades is reasonably well approximated, and the flow angular momentum extraction is achieved in the prescribed manner. Possible improvements to the open-source implementation of the method are discussed. |
first_indexed | 2024-03-10T20:23:17Z |
format | Article |
id | doaj.art-7ff60a9fb68642fca05905f5b70dc825 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-03-10T20:23:17Z |
publishDate | 2020-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
spelling | doaj.art-7ff60a9fb68642fca05905f5b70dc8252023-11-19T22:01:56ZengMDPI AGEnergies1996-10732020-04-01138202010.3390/en13082020Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine RunnersSebastián Leguizamón0François Avellan1Laboratory for Hydraulic Machines, École Polytechnique Fédérale de Lausanne (EPFL), Avenue de Cour 33 bis, 1007 Lausanne, SwitzerlandLaboratory for Hydraulic Machines, École Polytechnique Fédérale de Lausanne (EPFL), Avenue de Cour 33 bis, 1007 Lausanne, SwitzerlandThe hydraulic design of Francis turbines and pump-turbines is an expensive project-specific engineering effort that typically involves a direct iterative exploration of the design space. An inverse design method for turbomachinery has been previously introduced in the literature, and several recent applications have demonstrated its advantages; however, only a commercial implementation of the method is currently available. In this work, an open-source implementation of the inverse design method is introduced. First, the governing equations in cylindrical and curvilinear coordinate systems are derived, consolidating the somewhat inconsistent formulations that are available in the literature. Then, a convergence analysis of the method is performed in order to characterize the behavior of the discretization error and deduce the mesh resolution requirements. A validation of the method output with respect to high-fidelity computational fluid dynamics simulations is then presented; it is demonstrated that the velocity fields are well predicted, the pressure distribution on the blades is reasonably well approximated, and the flow angular momentum extraction is achieved in the prescribed manner. Possible improvements to the open-source implementation of the method are discussed.https://www.mdpi.com/1996-1073/13/8/2020Francis turbineinverse designopen-source softwarecomputational fluid dynamicsnumerical simulationhydraulic turbomachine |
spellingShingle | Sebastián Leguizamón François Avellan Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners Energies Francis turbine inverse design open-source software computational fluid dynamics numerical simulation hydraulic turbomachine |
title | Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners |
title_full | Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners |
title_fullStr | Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners |
title_full_unstemmed | Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners |
title_short | Open-Source Implementation and Validation of a 3D Inverse Design Method for Francis Turbine Runners |
title_sort | open source implementation and validation of a 3d inverse design method for francis turbine runners |
topic | Francis turbine inverse design open-source software computational fluid dynamics numerical simulation hydraulic turbomachine |
url | https://www.mdpi.com/1996-1073/13/8/2020 |
work_keys_str_mv | AT sebastianleguizamon opensourceimplementationandvalidationofa3dinversedesignmethodforfrancisturbinerunners AT francoisavellan opensourceimplementationandvalidationofa3dinversedesignmethodforfrancisturbinerunners |