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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Main Authors: Sebastián Leguizamón, François Avellan
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Energies
Subjects:
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.
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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