On numerical aspects of simulating flow past a circular cylinder

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    Abstract

    Three-dimensional direct numerical simulation results of flow past a circular cylinder are influenced by numerical aspects, for example the spanwise domain length and the lateral boundary condition adopted for the simulation. It is found that inappropriate numerical set-up, which restricts the development of intrinsic wake structure, leads to an over-prediction of the onset point of the secondary wake instability (Recr). A best practice of the numerical set-up is presented for the accurate prediction of Recr by direct numerical simulation while minimizing the computational cost. The cylinder span length should be chosen on the basis of the intrinsic wavelength of the wake structure to be simulated, whereas a long span length is not necessary. For the wake transitions above Recr, because the wake structures no longer follow particular wavelengths but become disordered and chaotic, a span length of more than 10 cylinder diameters (approximately three times the intrinsic wavelength) is recommended for the simulations to obtain wake structures and hydrodynamic forces that are not strongly restricted by the numerical set-up. The performances of the periodic and symmetry lateral boundary conditions are compared and discussed. The symmetry boundary condition is recommended for predicting Recr, while the periodic boundary condition is recommended for simulating the wake structures above Recr. The general conclusions drawn through a circular cylinder are expected to be applicable to other bluff body configurations.

    Original languageEnglish
    Pages (from-to)113-132
    JournalInternational Journal for Numerical Methods in Fluids
    Volume85
    Issue number2
    DOIs
    Publication statusPublished - 20 Sep 2017

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    Circular Cylinder
    Circular cylinders
    Wake
    Boundary conditions
    Direct numerical simulation
    Wavelength
    Lateral
    Symmetry
    Prediction
    Best Practice
    Periodic Boundary Conditions
    Computational Cost
    Hydrodynamics
    Simulation
    Three-dimensional
    Configuration
    Necessary
    Costs

    Cite this

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    title = "On numerical aspects of simulating flow past a circular cylinder",
    abstract = "Three-dimensional direct numerical simulation results of flow past a circular cylinder are influenced by numerical aspects, for example the spanwise domain length and the lateral boundary condition adopted for the simulation. It is found that inappropriate numerical set-up, which restricts the development of intrinsic wake structure, leads to an over-prediction of the onset point of the secondary wake instability (Recr). A best practice of the numerical set-up is presented for the accurate prediction of Recr by direct numerical simulation while minimizing the computational cost. The cylinder span length should be chosen on the basis of the intrinsic wavelength of the wake structure to be simulated, whereas a long span length is not necessary. For the wake transitions above Recr, because the wake structures no longer follow particular wavelengths but become disordered and chaotic, a span length of more than 10 cylinder diameters (approximately three times the intrinsic wavelength) is recommended for the simulations to obtain wake structures and hydrodynamic forces that are not strongly restricted by the numerical set-up. The performances of the periodic and symmetry lateral boundary conditions are compared and discussed. The symmetry boundary condition is recommended for predicting Recr, while the periodic boundary condition is recommended for simulating the wake structures above Recr. The general conclusions drawn through a circular cylinder are expected to be applicable to other bluff body configurations.",
    keywords = "Boundary condition, Circular cylinder, Direct numerical simulation, Spanwise domain length, Wake transition",
    author = "Hongyi Jiang and Liang Cheng and Hongwei An",
    year = "2017",
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    language = "English",
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    T1 - On numerical aspects of simulating flow past a circular cylinder

    AU - Jiang, Hongyi

    AU - Cheng, Liang

    AU - An, Hongwei

    PY - 2017/9/20

    Y1 - 2017/9/20

    N2 - Three-dimensional direct numerical simulation results of flow past a circular cylinder are influenced by numerical aspects, for example the spanwise domain length and the lateral boundary condition adopted for the simulation. It is found that inappropriate numerical set-up, which restricts the development of intrinsic wake structure, leads to an over-prediction of the onset point of the secondary wake instability (Recr). A best practice of the numerical set-up is presented for the accurate prediction of Recr by direct numerical simulation while minimizing the computational cost. The cylinder span length should be chosen on the basis of the intrinsic wavelength of the wake structure to be simulated, whereas a long span length is not necessary. For the wake transitions above Recr, because the wake structures no longer follow particular wavelengths but become disordered and chaotic, a span length of more than 10 cylinder diameters (approximately three times the intrinsic wavelength) is recommended for the simulations to obtain wake structures and hydrodynamic forces that are not strongly restricted by the numerical set-up. The performances of the periodic and symmetry lateral boundary conditions are compared and discussed. The symmetry boundary condition is recommended for predicting Recr, while the periodic boundary condition is recommended for simulating the wake structures above Recr. The general conclusions drawn through a circular cylinder are expected to be applicable to other bluff body configurations.

    AB - Three-dimensional direct numerical simulation results of flow past a circular cylinder are influenced by numerical aspects, for example the spanwise domain length and the lateral boundary condition adopted for the simulation. It is found that inappropriate numerical set-up, which restricts the development of intrinsic wake structure, leads to an over-prediction of the onset point of the secondary wake instability (Recr). A best practice of the numerical set-up is presented for the accurate prediction of Recr by direct numerical simulation while minimizing the computational cost. The cylinder span length should be chosen on the basis of the intrinsic wavelength of the wake structure to be simulated, whereas a long span length is not necessary. For the wake transitions above Recr, because the wake structures no longer follow particular wavelengths but become disordered and chaotic, a span length of more than 10 cylinder diameters (approximately three times the intrinsic wavelength) is recommended for the simulations to obtain wake structures and hydrodynamic forces that are not strongly restricted by the numerical set-up. The performances of the periodic and symmetry lateral boundary conditions are compared and discussed. The symmetry boundary condition is recommended for predicting Recr, while the periodic boundary condition is recommended for simulating the wake structures above Recr. The general conclusions drawn through a circular cylinder are expected to be applicable to other bluff body configurations.

    KW - Boundary condition

    KW - Circular cylinder

    KW - Direct numerical simulation

    KW - Spanwise domain length

    KW - Wake transition

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