4.7 Article

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

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JOURNAL OF COMPUTATIONAL PHYSICS
卷 192, 期 2, 页码 593-623

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ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2003.07.024

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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. (C) 2003 Elsevier B.V. All rights reserved.

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