Data Set: A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries
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<p class="p1"><span class="s1">Two-phase outflows refer to situations where&nbsp;the interface formed between two immiscible incompressible fluids&nbsp;passes through open portions of the domain&nbsp;boundary.&nbsp;We present&nbsp;several new forms of open boundary conditions&nbsp;for two-phase outflow simulations within the phase field framework, as well as a rotational&nbsp;pressure correction based algorithm&nbsp;for numerically treating these&nbsp; open&nbsp;boundary conditions. Our algorithm&nbsp;gives rise to linear algebraic systems for the velocity&nbsp;and the pressure&nbsp;that involve&nbsp;only constant and time-independent coefficient matrices&nbsp;after discretization,&nbsp;despite the variable density and variable viscosity&nbsp;of the two-phase mixture.&nbsp;By comparing simulation results with theory and the experimental&nbsp;data, we show that the method&nbsp;produces physically accurate results.&nbsp;We also present numerical experiments to demonstrate&nbsp;the long-term stability of the method in situations where&nbsp;large density contrast, large viscosity contrast,&nbsp;and backflows occur at the&nbsp;two-phase open boundaries.</span></p>
