• Acta Physica Sinica
  • Vol. 69, Issue 4, 044702-1 (2020)
Jian-Jian Xin1, Zhen-Lei Chen1、*, Fan Shi1, and Fu-Long Shi2
Author Affiliations
  • 1Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
  • 2School of Hydraulic Engineering, Changsha University of Science and Technology, Changsha 410114, China
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    DOI: 10.7498/aps.69.20191711 Cite this Article
    Jian-Jian Xin, Zhen-Lei Chen, Fan Shi, Fu-Long Shi. Numerical simulation of flows around single and multiple flexible hydrofoils in array arrangement by a Cartesian grid method[J]. Acta Physica Sinica, 2020, 69(4): 044702-1 Copy Citation Text show less
    Two-dimensional interpolation stencil of the ghost cell method: (a) No ghost cells; (b) one ghost cell; (c) two ghost cells.
    Fig. 1. Two-dimensional interpolation stencil of the ghost cell method: (a) No ghost cells; (b) one ghost cell; (c) two ghost cells.
    Flowchart of numerical algorithm for stationary or moving boundary flows.
    Fig. 2. Flowchart of numerical algorithm for stationary or moving boundary flows.
    Comparison of force coefficients under five oscillation frequencies: (a) Average drag coefficient; (b) root mean square lift coefficient.
    Fig. 3. Comparison of force coefficients under five oscillation frequencies: (a) Average drag coefficient; (b) root mean square lift coefficient.
    Variation of drag and lift coefficients with the dimensionless time under three oscillation frequencies: (a) Drag coefficient; (b) lift coefficient.
    Fig. 4. Variation of drag and lift coefficients with the dimensionless time under three oscillation frequencies: (a) Drag coefficient; (b) lift coefficient.
    Local instantaneous vortex contours for = 0.15 at two moments: (a) ; (b) .
    Fig. 5. Local instantaneous vortex contours for = 0.15 at two moments: (a) ; (b) .
    Local instantaneous vortex contours for= 0.45 at two moments: (a) ; (b) .
    Fig. 6. Local instantaneous vortex contours for = 0.45 at two moments: (a) ; (b) .
    Local instantaneous vortex contours for = 0.75 at two moments: (a) ; (b) .
    Fig. 7. Local instantaneous vortex contours for = 0.75 at two moments: (a) ; (b) .
    Geometrical model of the undulating hydrofoil in array arrangement.
    Fig. 8. Geometrical model of the undulating hydrofoil in array arrangement.
    Comparison of force coefficients between the central hydrofoil in array arrangement for three gap distances and the single hydrofoil under five frequencies: (a) Average drag coefficient; (b) root mean square lift coefficient.
    Fig. 9. Comparison of force coefficients between the central hydrofoil in array arrangement for three gap distances and the single hydrofoil under five frequencies: (a) Average drag coefficient; (b) root mean square lift coefficient.
    Variation of drag and lift coefficients on the central hydrofoil in array arrangement with the dimensionless time under three oscillation frequencies: (a) Drag coefficient; (b) lift coefficient.
    Fig. 10. Variation of drag and lift coefficients on the central hydrofoil in array arrangement with the dimensionless time under three oscillation frequencies: (a) Drag coefficient; (b) lift coefficient.
    Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.15 at two moments: (a) ; (b) .
    Fig. 11. Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.15 at two moments: (a) ; (b) .
    Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.45 at two moments: (a) ; (b) .
    Fig. 12. Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.45 at two moments: (a) ; (b) .
    Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.75 at two moments: (a) ; (b) .
    Fig. 13. Local instantaneous vortex contours of undulating hydrofoils in array arrangement for = 0.75 at two moments: (a) ; (b) .
    方法平均阻力系数均方根升力系数
    150 × 800.2000.91
    300 × 1500.1841.15
    600 × 3000.1821.16
    Sui等[21]0.1801.20
    Table 1.

    Comparison of the force coefficients between the present method and Sui’s method[21].

    本文力系数结果与Sui等[21]的参考结果比较

    Jian-Jian Xin, Zhen-Lei Chen, Fan Shi, Fu-Long Shi. Numerical simulation of flows around single and multiple flexible hydrofoils in array arrangement by a Cartesian grid method[J]. Acta Physica Sinica, 2020, 69(4): 044702-1
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