Numerical simulations for non conservative hyperbolic system. Application to transient two-phase flow with cavitation phenomenon
DOI: https://doi.org/10.3846/mma.2019.015Abstract
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.
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non conservative system, MacCormack scheme, hyperbolic system, two phase flow, cavitationHow to Cite
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Copyright (c) 2019 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2019 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.