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A Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere

Author

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  • Yusuke Mizuno
  • Shun Takahashi
  • Taku Nonomura
  • Takayuki Nagata
  • Kota Fukuda

Abstract

This study is devoted to investigating a flow around a stationary or moving sphere by using direct numerical simulation with immersed boundary method (IBM) for the three-dimensional compressible Navier-Stokes equations. A hybrid scheme developed to solve both shocks and turbulent flows is employed to solve the flow around a sphere in the equally spaced Cartesian mesh. Drag coefficients of the spheres are compared with reliable values obtained from highly accurate boundary-fitted coordinate (BFC) flow solver to clarify the applicability of the present method. As a result, good agreement was obtained between the present results and those from the BFC flow solver. Moreover, the effectiveness of the hybrid scheme was demonstrated to capture the wake structure of a sphere. Both advantages and disadvantages of the simple IBM were investigated in detail.

Suggested Citation

  • Yusuke Mizuno & Shun Takahashi & Taku Nonomura & Takayuki Nagata & Kota Fukuda, 2015. "A Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-17, October.
    • Handle: RePEc:hin:jnlmpe:438086
    DOI: 10.1155/2015/438086
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