Geodesic
Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 1, pp. 40-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the base of thermodynamically compatible systems theory the governing equations of gas-liquid combpressible pipe flow are formulated. The Runge–Kutta–TVD and Runge–Kutta–WENO high accuracy methods are developed for the proposed system. The computational model is used to solve a series of test cases demonstrating its efficiency and capability to be applied to slug flows modeling.
Keywords: hyperbolic systems of conservation laws, two-phase gas-liquid pipe flow, slug flow. 
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A. A. Belozerov; E. I. Romenski; N. A. Lebedeva. Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 1, pp. 40-56. http://geodesic.mathdoc.fr/item/VNGU_2016_16_1_a3/

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