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Computation of free surface waves around an arbitrary body by a Navier-Stokes solver using the psuedocompressibility technique
Authors:H Liu  M Ikehata
Abstract:A Navier-Stokes equation solver is developed for computing free surface wave and viscous flow around an arbitrary body, in which a free surface model is introduced into the pseudocompressibility solution. The governing equations are classified in a vectorial form, with primitive variables, and a block diagonal system is generated by the discretization of an implicit factorization method. A moving grid system fitted to both the free surface and body surface is generated by an effective cubic spline fitting technique. Two zero-equation turbulence models, namely the Cebeci-Smith model and the Baldwin-Lomax model, are used for turbulent calculations. Numerical simulations are carried out for the free surface viscous flows generated by a submerged hydrofoil and a ship model. Computed results are in reasonable agreement with measurements.
Keywords:Euler implicit scheme  Pseudocompressibility  Moving grid system  Free surface fitting  Baldwin-Lomax turbulence model
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