A hybridized least-squares ghost fluid method is presented that increases the accuracy of the ghost fluid method while simultaneously suppressing the pressure oscillation artifact exhibited by many fixed-grid techniques for solving the incompressible Navier-Stokes equations in the presence of moving boundaries. A least-squares technique is used to extrapolate ghost values, and a blending of the governing equations and interpolation is used to allow the solution near the interface to evolve smoothly in time as grid cells transition between the solid and fluid phase. The order of accuracy of the least-squares approach is demonstrated to be 2nd-order for Poisson problems with both Dirichlet and Neumann conditions in smooth as well as irregularly shaped boundaries. The hybridization scheme is shown to maintain the order of accuracy of the GFM while significantly suppressing pressure oscillations.
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