Numerical Modeling of Gas-Liquid Compressible Pipe Flow Based on the Theory of Thermodynamically Compatible Systems


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Abstract

Based on the theory of thermodynamically compatible systems, we formulate the governing equations of a gas-liquid compressible pipe flow and develop the Runge–Kutta–TVD and Runge–Kutta–WENO high accuracy methods. The computational model is used to solve a series of test cases demonstrating its efficiency and capability to be applied to slug flows modeling.

About the authors

A. A. Belozerov

Novosibirsk State University

Email: evrom@math.nsc.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090

E. I. Romenski

Novosibirsk State University; Sobolev Institute of Mathematics SB RAS

Author for correspondence.
Email: evrom@math.nsc.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090; 4, pr. Akad. Koptyuga, Novosibirsk, 630090

N. A. Lebedeva

Schlumberger Moscow Research Center

Email: evrom@math.nsc.ru
Russian Federation, 13, ul. Pudovkina, Moscow, 119285

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