A novel iterative direct-forcing immersed boundary method and its finite volume applications

  • Authors:

  • C. Ji;A. Munjiza;J. J. R. Williams

  • Affiliations:

  • School of Engineering & Materials Science, Queen Mary University of London, Mile End Rd., London E1 4NS, UK and Tianjin Key Laboratory of Harbour & Ocean Engineering, Tianjin University, Weijin Rd ...;School of Engineering & Materials Science, Queen Mary University of London, Mile End Rd., London E1 4NS, UK;School of Engineering & Materials Science, Queen Mary University of London, Mile End Rd., London E1 4NS, UK

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

We present a novel iterative immersed boundary (IB) method in which the body force updating is incorporated into the pressure iterations. Because the body force and pressure are solved simultaneously, the boundary condition on the immersed boundary can be fully verified. The computational costs of this iterative IB method is comparable to those of conventional IB methods. We also introduce an improved body force distribution function which transfers the body force in the discrete volume of IB points to surrounding Cartesian grids totally. To alleviate the demanding computational requirements of a full-resolved direct numerical simulation, a wall-layer model is presented. The accuracy and capability of the present method is verified by a variety of two- and three-dimensional numerical simulations, ranging from laminar flow past a cylinder and a sphere to turbulent flow around a cylinder. The improvement of the iterative IB method is fully demonstrated and the influences of different body force distribution strategies is discussed.