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

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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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     author = {A. A. Belozerov and E. I. Romenski and N. A. Lebedeva},
     title = {Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {40--56},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_1_a3/}
}
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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/