Abstract
This article deals with partially-reflecting boundary conditions for the four-equation, one-pressure, isentropic two-fluid model. Using pid controllers, this boundary treatment allows waves to pass the boundaries, while keeping the boundary values close to their set-point values, even when the equation system contains source terms. We consider the water faucet test case. Using the partially-reflecting boundary conditions, the method reaches the correct steady-state solution, and, moreover, in the transient period, the pressure profiles closely resemble the ones produced using non-reflecting boundary conditions.
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