NUMERICAL SIMULATIONS FOR NON CONSERVATIVE HYPERBOLIC SYSTEM. APPLICATION TO TRANSIENT TWO-PHASE FLOW WITH CAVITATION PHENOMENON | Zendy

Abdelmjid Qadi El Idrissi | Zendy; Boujemâa Achchab | Zendy; Abdellatif Agouzal | Zendy

Open Access

NUMERICAL SIMULATIONS FOR NON CONSERVATIVE HYPERBOLIC SYSTEM. APPLICATION TO TRANSIENT TWO-PHASE FLOW WITH CAVITATION PHENOMENON

Author(s) -

Abdelmjid Qadi El Idrissi,

Boujemâa Achchab,

Abdellatif Agouzal

Publication year - 2019

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2019.015

Subject(s) - transient (computer programming) , mechanics , cavitation , transient flow , flow (mathematics) , suspension (topology) , two phase flow , computer simulation , numerical analysis , materials science , thermodynamics , mathematics , physics , mathematical analysis , computer science , meteorology , surge , homotopy , pure mathematics , operating system

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 Mac Cormack 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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