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CABARET Scheme as Applied to Numerical Approximation of Two-Fluid Flow Equations

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The balance-characteristic method is used to approximate a two-fluid model for two-phase gas–liquid flows. The original system of equations is a hyperbolic one with different phase pressures and an additional… Click to show full abstract

The balance-characteristic method is used to approximate a two-fluid model for two-phase gas–liquid flows. The original system of equations is a hyperbolic one with different phase pressures and an additional equation for pressure relaxation. A finite-difference approximation is constructed for the system. Numerical results for the motion of a gas–liquid mixture are obtained and compared with results of standard numerical schemes.

Keywords: applied numerical; numerical approximation; approximation; two fluid; scheme applied; cabaret scheme

Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2018

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