Numerical Simulation of Heavy Liquid Flow by the Multidimensional Nodal Method of Characteristics

A variant of the inverse method of characteristics is presented, in the algorithm of which an additional fractional time step is introduced, which makes it possible to carry out calculations with a large time step without loss of accuracy and stability. Calculation formulas of the modified inverse m...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2024, Vol.97 (1), p.186-194
Main Author: Surov, V. S.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Classical Mechanics
Complex Systems
Drops (liquids)
Engineering
Engineering Thermodynamics
Gravity
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Inverse method
Liquid flow
Mathematical models
Method of characteristics
Methods
Numerical analysis
Simulation methods
Subsystems
Thermodynamics
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Summary:A variant of the inverse method of characteristics is presented, in the algorithm of which an additional fractional time step is introduced, which makes it possible to carry out calculations with a large time step without loss of accuracy and stability. Calculation formulas of the modified inverse method of characteristics are given for a single-velocity generalized equilibrium model of a gas–liquid mixture. When calculating multidimensional problems, the original system of equations is split into a number of one-dimensional subsystems, for the calculation of which a modified inverse method of characteristics is applied. Using the proposed method, the spreading of a liquid column under the influence of gravitational forces for flat and axisymmetric cases, as well as a drop of liquid falling into a hard smooth barrier were calculated. The calculation results are compared with the available experimental data.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-024-02882-6