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Analysis of Aeroacoustic Properties of the Local Radial Point Interpolation Cumulant Lattice Boltzmann Method

  • Identification data

    Identifier: imarina:9178050
    Authors:
    Gorakifard, MohsenSaluena, ClaraCuesta, IldefonsoFar, Ehsan Kian
    Abstract:
    The lattice Boltzmann method (LBM) has recently been used to simulate wave propagation, one of the challenging aspects of wind turbine modeling and simulation. However, standard LB methods suffer from the instability that occurs at low viscosities and from its characteristic lattice uniformity, which results in issues of accuracy and computational efficiency following mesh refinement. The local radial point interpolation cumulant lattice Boltzmann method (LRPIC-LBM) is proposed in this paper to overcome these shortcomings. The LB equation is divided into collision and streaming steps. The collision step is modeled by the cumulant method, one of the stable LB methods at low viscosities. In addition, the streaming step, which is naturally a pure advection equation, is discretized in time and space using the Lax-Wendroff scheme and the local radial point interpolation method (RPIM), a mesh free method. We describe the propagation of planar acoustic waves, including the temporal decay of a standing plane wave and the spatial decay of a planar acoustic pulse. The analysis of these specific benchmark problems has yielded qualitative and quantitative data on acoustic dispersion and dissipation, and their deviation from analytical results demonstrates the accuracy of the method. We found that the LRPIC-LBM replicates the analytical results for different viscosities, and the errors of the fundamental acoustic properties are negligible, even for quite low resolutions. Thus, this method may constitute a useful platform for effectively predicting complex engineering problems such as wind turbine simulations, without parameter dependencies such as the number of points per wavelength Nppw and resolution sigma or the detrimental effect caused by the use of coarse grids found in other
  • Others:

    Author, as appears in the article.: Gorakifard, Mohsen; Saluena, Clara; Cuesta, Ildefonso; Far, Ehsan Kian;
    Department: Enginyeria Mecànica
    URV's Author/s: Cuesta Romeo, Ildefonso / Goraki Fard, Mohsen / Salueña Pérez, Clara
    Keywords: Wind turbines Wind turbine simulation Wind turbine modeling Wind turbine Viscosity Radial point interpolations Parameter dependency Mesh generation Local radial point interpolation methods Local radial point interpolation cumulant lbm Lattice boltzmann methods (lbm) Lattice boltzmann method Kinetic theory Interpolation Dissipation Dispersion Computational efficiency Complex engineering problems Aeroacoustics Acoustic wave propagation Acoustic properties
    Abstract: The lattice Boltzmann method (LBM) has recently been used to simulate wave propagation, one of the challenging aspects of wind turbine modeling and simulation. However, standard LB methods suffer from the instability that occurs at low viscosities and from its characteristic lattice uniformity, which results in issues of accuracy and computational efficiency following mesh refinement. The local radial point interpolation cumulant lattice Boltzmann method (LRPIC-LBM) is proposed in this paper to overcome these shortcomings. The LB equation is divided into collision and streaming steps. The collision step is modeled by the cumulant method, one of the stable LB methods at low viscosities. In addition, the streaming step, which is naturally a pure advection equation, is discretized in time and space using the Lax-Wendroff scheme and the local radial point interpolation method (RPIM), a mesh free method. We describe the propagation of planar acoustic waves, including the temporal decay of a standing plane wave and the spatial decay of a planar acoustic pulse. The analysis of these specific benchmark problems has yielded qualitative and quantitative data on acoustic dispersion and dissipation, and their deviation from analytical results demonstrates the accuracy of the method. We found that the LRPIC-LBM replicates the analytical results for different viscosities, and the errors of the fundamental acoustic properties are negligible, even for quite low resolutions. Thus, this method may constitute a useful platform for effectively predicting complex engineering problems such as wind turbine simulations, without parameter dependencies such as the number of points per wavelength Nppw and resolution sigma or the detrimental effect caused by the use of coarse grids found in other accurate and stable LB models.
    Thematic Areas: Zootecnia / recursos pesqueiros Renewable energy, sustainability and the environment Renewable energy, sustainability and the environm Interdisciplinar General computer science Fuel technology Engineering (miscellaneous) Engenharias iv Engenharias iii Engenharias ii Energy engineering and power technology Energy (miscellaneous) Energy & fuels Electrical and electronic engineering Economia Control and optimization Ciências ambientais Ciências agrárias i Ciência da computação Building and construction Biotecnología Biodiversidade Astronomia / física
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: ildefonso.cuesta@urv.cat clara.saluena@urv.cat
    Author identifier: 0000-0002-4948-5569 0000-0001-7595-8588
    Record's date: 2024-07-27
    Journal volume: 14
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://www.mdpi.com/1996-1073/14/5/1443
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Energies. 14 (5):
    APA: Gorakifard, Mohsen; Saluena, Clara; Cuesta, Ildefonso; Far, Ehsan Kian; (2021). Analysis of Aeroacoustic Properties of the Local Radial Point Interpolation Cumulant Lattice Boltzmann Method. Energies, 14(5), -. DOI: 10.3390/en14051443
    Article's DOI: 10.3390/en14051443
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Publication Type: Journal Publications
  • Keywords:

    Control and Optimization,Electrical and Electronic Engineering,Energy & Fuels,Energy (Miscellaneous),Energy Engineering and Power Technology,Engineering (Miscellaneous),Fuel Technology,Renewable Energy, Sustainability and the Environm,Renewable Energy, Sustainability and the Environment
    Wind turbines
    Wind turbine simulation
    Wind turbine modeling
    Wind turbine
    Viscosity
    Radial point interpolations
    Parameter dependency
    Mesh generation
    Local radial point interpolation methods
    Local radial point interpolation cumulant lbm
    Lattice boltzmann methods (lbm)
    Lattice boltzmann method
    Kinetic theory
    Interpolation
    Dissipation
    Dispersion
    Computational efficiency
    Complex engineering problems
    Aeroacoustics
    Acoustic wave propagation
    Acoustic properties
    Zootecnia / recursos pesqueiros
    Renewable energy, sustainability and the environment
    Renewable energy, sustainability and the environm
    Interdisciplinar
    General computer science
    Fuel technology
    Engineering (miscellaneous)
    Engenharias iv
    Engenharias iii
    Engenharias ii
    Energy engineering and power technology
    Energy (miscellaneous)
    Energy & fuels
    Electrical and electronic engineering
    Economia
    Control and optimization
    Ciências ambientais
    Ciências agrárias i
    Ciência da computação
    Building and construction
    Biotecnología
    Biodiversidade
    Astronomia / física
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