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A new numerical method to simulate steady-state isothermal liquid flows with hydraulic cavitation is proposed. The 3D averaged N-S equations with LamBremhorst κ – e turbulence model are used. The barotropic state equation is developed basing on thermodynamic equilibrium relations. Simulation of such flows faces a lot of numerical difficulties concerned with variations of density, speed of sound and time scale. The method is a hybrid splitting scheme that is a mixture of “density-based” and “pressure-based” approaches. The splitting scheme is the “pressure-based” SIMPLE-type algorithm in the region of incompressible liquid flow without cavitation. The scheme degenerates to the “density-based” algorithm in a compressible region (2-phase state or pure gas). The proposed method differs from both “density-based” preconditioned algorithms and SIMPLE-type methods adapted to the case of cavitating flows. The method has been tested on numerous typical 3D problems with hydraulic cavitation. Results of numerical simulation are in good agreement with experimental data. The algorithm shows high efficiency for the considered problems. The method has been implemented in FloEFD

Hybrid density- and pressure-based splitting scheme for cavitating flows simulation