A new hydrid method combining the compact finite difference and Fourier spectral expansion in different spatial directions is developed in this paper to perform the numerical simulation of 3-D open space flows.The implicit fourth-order compact scheme for solving the Helmholtz equations satisfied by the velocities and pressure in spectral space is derived and its preconditioned conjugate gradient iteration method is studied.The treatment of pressure boundary conditions and the three dimensional non-reflecting outflow boundary conditions are presented.Application to the vortex dislocation evolution in a three dimensional wake is also reported.
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