Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations

Joseph Saverin*, David Marten, George Pechlivanoglou, Christian Oliver Paschereit, Arne Van Garrel

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    A method for the treatment of the evolution of the wake ofaerodynamic bodies has been implemented. A vortex particlemethod approach has been used whereby the flow field is discretized into numerical volumes which possess a given circulation. A lifting line formulation is used to determine the circulation of the trailing and shed vortex elements. Upon their releasevortex particles are allowed to freely convect under the action ofthe blade, the freestream and other particles. Induced velocitiesare calculated with a regularized form of the Biot-Savart kernel,adapted for vortex particles. Vortex trajectories are integrated ina Lagrangian sense. Provision is made in the model for the rateof change of the circulation vector and for viscous particle interaction; however these features are not exploited in this work.The validity of the model is tested by comparing results of thenumerical simulation to the experimental measurements of theMexico rotor. A range of tip speed ratios are investigated andthe blade loading and induced wake velocities are compared toexperiment and finite-volume numerical models.The computational expense of this method scales quadratically with the number of released wake particles N. This resultsin an unacceptable computational expense after a limited simulation time. A recently developed multilevel algorithm has been implemented to overcome this computational expense. This method approximates the Biot-Savart kernel in the far field by using polynomial interpolation onto a structured grid node system. The error of this approximation is seen to be arbitrarily controlled bythe polynomial order of the interpolation. It is demonstrated thatby using this method the computational expense scales linearly.The model's ability to quickly produce results of comparable accuracy to finite volume simulations is illustrated and emphasizesthe opportunity for industry to move from low fidelity, less accurate blade-element-momentum methods towards higher fidelityfree vortex wake models while keeping the advantage of shortproblem turnaround times.

    Original languageEnglish
    Title of host publicationOil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy
    PublisherAmerican Society of Mechanical Engineers (ASME)
    Volume9
    ISBN (Print)9780791851180
    DOIs
    Publication statusPublished - 1 Jan 2018
    EventASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition - Oslo, Norway
    Duration: 11 Jun 201815 Jun 2018

    Conference

    ConferenceASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition
    CountryNorway
    CityOslo
    Period11/06/1815/06/18

    Fingerprint

    Particle interactions
    Wind turbines
    Vortex flow
    Interpolation
    Polynomials
    Turnaround time
    Numerical models
    Flow fields
    Momentum
    Rotors
    Trajectories
    Industry

    Cite this

    Saverin, J., Marten, D., Pechlivanoglou, G., Paschereit, C. O., & Van Garrel, A. (2018). Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations. In Oil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy (Vol. 9). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/GT2018-76554
    Saverin, Joseph ; Marten, David ; Pechlivanoglou, George ; Paschereit, Christian Oliver ; Van Garrel, Arne. / Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations. Oil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy. Vol. 9 American Society of Mechanical Engineers (ASME), 2018.
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    abstract = "A method for the treatment of the evolution of the wake ofaerodynamic bodies has been implemented. A vortex particlemethod approach has been used whereby the flow field is discretized into numerical volumes which possess a given circulation. A lifting line formulation is used to determine the circulation of the trailing and shed vortex elements. Upon their releasevortex particles are allowed to freely convect under the action ofthe blade, the freestream and other particles. Induced velocitiesare calculated with a regularized form of the Biot-Savart kernel,adapted for vortex particles. Vortex trajectories are integrated ina Lagrangian sense. Provision is made in the model for the rateof change of the circulation vector and for viscous particle interaction; however these features are not exploited in this work.The validity of the model is tested by comparing results of thenumerical simulation to the experimental measurements of theMexico rotor. A range of tip speed ratios are investigated andthe blade loading and induced wake velocities are compared toexperiment and finite-volume numerical models.The computational expense of this method scales quadratically with the number of released wake particles N. This resultsin an unacceptable computational expense after a limited simulation time. A recently developed multilevel algorithm has been implemented to overcome this computational expense. This method approximates the Biot-Savart kernel in the far field by using polynomial interpolation onto a structured grid node system. The error of this approximation is seen to be arbitrarily controlled bythe polynomial order of the interpolation. It is demonstrated thatby using this method the computational expense scales linearly.The model's ability to quickly produce results of comparable accuracy to finite volume simulations is illustrated and emphasizesthe opportunity for industry to move from low fidelity, less accurate blade-element-momentum methods towards higher fidelityfree vortex wake models while keeping the advantage of shortproblem turnaround times.",
    author = "Joseph Saverin and David Marten and George Pechlivanoglou and Paschereit, {Christian Oliver} and {Van Garrel}, Arne",
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    Saverin, J, Marten, D, Pechlivanoglou, G, Paschereit, CO & Van Garrel, A 2018, Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations. in Oil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy. vol. 9, American Society of Mechanical Engineers (ASME), ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Oslo, Norway, 11/06/18. https://doi.org/10.1115/GT2018-76554

    Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations. / Saverin, Joseph; Marten, David; Pechlivanoglou, George; Paschereit, Christian Oliver; Van Garrel, Arne.

    Oil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy. Vol. 9 American Society of Mechanical Engineers (ASME), 2018.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AU - Marten, David

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    AU - Paschereit, Christian Oliver

    AU - Van Garrel, Arne

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    Saverin J, Marten D, Pechlivanoglou G, Paschereit CO, Van Garrel A. Implementation of the multi-level multi-integration cluster method to the treatment of vortex particle interactions for fast wind turbine wake simulations. In Oil and Gas Applications; Supercritical CO2 Power Cycles; Wind Energy. Vol. 9. American Society of Mechanical Engineers (ASME). 2018 https://doi.org/10.1115/GT2018-76554