Numerical Simulations For Non Conservative Hyperbolic System. Application to Transient Two-Phase Flow with Cavitation Phenomenon.

A numerical method for simulating transient ows of gas-liquid mixtures is proposed. The mathematical model, established for a suspension of gas bubbles in liquid, includes an equation taking into account the relative velocity between the gas and liquid. A numerical technique based on the MacCormack scheme combined with the method of characteristics for the boundary conditions is presented. Theoretical results for transients initiated by a rapid closing valves are compared with measure- ments. A good agreement is found particularly for large values of initial dissolved gas concentration. [ABSTRACT FROM AUTHOR]