Abstract
A methematical model is presented which includes the simulation of discharge valve response and discharge plenum pressure oscillations. Two methods are given for coupling a highly non-linear mathematical model for the valve with an acoustic wave equation model employed for the discharge pressure simulation. With the first method, a classical finite difference scheme is employed to reduce the wave equation in the plenum into a number of first order differential equations which may then be integrated with the valve equations. With the second method, a steady state solution for the acoustic impedance at the valve is coupled with the non-linear valve model to obtain a solution. Emphasis is placed on the generality and computational efficiency of this latter method. Comparisons between theory and experiment are given.
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