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Article information
2022 , Volume 27, ¹ 2, p.62-73
Surov V.S.
Calculation of heavy liquid flows by the multidimensional nodal method of characteristics
Gravity forces are included in the hyperbolic generalized-equilibrium model of the medium. This model, which describes the flow of a single-velocity binary mixture of an ideal gas with a second incompressible fraction, is used in multi-fluid hydrodynamics to calculate the combined movement of liquid and gas with automatic localization of contact surfaces. Numerical solution of the model equations adapts a simple but effective multidimensional node method of characteristics. The method was designed to integrate hyperbolic systems and it is based on splitting the original system of equations into a number of one-dimensional subsystems. To do this a one-dimensional node method of characteristics is employed. Using the described method, a number of model problems were solved including the flow of a column of liquid under the influence of gravity, the fall of a water column on a layer of liquid as well as the free oscillation of liquid in the basin.
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Keywords: hyperbolic model of gas-liquid medium, multidimensional nodal method of characteristics
doi: 10.25743/ICT.2022.27.2.006
Author(s):
Surov Victor Sergeevich
Dr. , Professor
Position: Professor
Office: South Ural State University
Address: 454080, Russia, Chelyabinsk, 76, Lenin prospekt
Phone Office: (951) 778 55 47
E-mail: surovvictor@gmail.com
SPIN-code: 9049-3366 References:
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Bibliography link:
Surov V.S. Calculation of heavy liquid flows by the multidimensional nodal method of characteristics // Computational technologies. 2022. V. 27. ¹ 2. P. 62-73
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