VISVE, a vorticity based model applied to 2-D hydrofoils in cavitating conditions
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In this study, the VIScous Vorticity Equation (VISVE) method was applied to predict flow around 2-D hydrofoils in cavitating conditions. The DIVergence of velocity Equation (DIVE) was added to extend the method to compressible flows and coupled with VISVE to predict the partial cavitating flow. The flow was modeled as a homogeneous mixture of vapor and liquid with the vapor volume fraction parameter determining their concentrations inside the volume and an additional transport equation for the vapor volume fraction to predict the partial cavitating flow around 2-D hydrofoils. The VISVE method was designed to be both spatially compact and numerically efficient in comparison with the commonly used Reynolds Averaged Navier-Stokes (RANS) models. Cavity shapes and pressure from the VISVE model were compared with those from a commercial RANS solver to assess the accuracy of the numerical results. With the validation of the 2-D VISVE model, VISVE shows the prospective to model the 3D wetted and cavitating flow.