Numerical simulations for non conservative hyperbolic system. Application to transient two-phase flow with cavitation phenomenon


A numerical method for simulating transient flows 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 is presented. Theoretical results for transients initiated by a rapid closing valves are compared with measurements. A good agreement is found particularly for large values of initial dissolved gas concentration.

Keyword : non conservative system, MacCormack scheme, hyperbolic system, two phase flow, cavitation

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Achchab, B., Agouzal, A., & El Idrissi, A. Q. (2019). Numerical simulations for non conservative hyperbolic system. Application to transient two-phase flow with cavitation phenomenon. Mathematical Modelling and Analysis, 24(2), 218-235.
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Feb 5, 2019
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