A ghost-cell immersed boundary method for flow in complex geometry

  • Authors:

  • Yu-Heng Tseng;Joel H. Ferziger

  • Affiliations:

  • Environmental Fluid Mechanics Laboratory, Stanford University, Stanford, CA;Environmental Fluid Mechanics Laboratory, Stanford University, Stanford, CA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented. A boundary condition is enforced through a ghost cell method. The reconstruction procedure allows systematic development of numerical schemes for treating the immersed boundary while preserving the overall second-order accuracy of the base solver. Both Dirichlet and Neumann boundary conditions can be treated. The current ghost cell treatment is both suitable for staggered and non-staggered Cartesian grids. The accuracy of the current method is validated using flow past a circular cylinder and large eddy simulation of turbulent flow over a wavy surface. Numerical results are compared with experimental data and boundary-fitted grid results. The method is further extended to an existing ocean model (MITGCM) to simulate geophysical flow over a three-dimensional bump. The method is easily implemented as evidenced by our use of several existing codes.