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 modifi ed inverse method of characteristics are given for a singlevelocity 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 modifi ed inverse method of characteristics is applied. Using the proposed method, the spreading of a liquid column under the infl uence of gravitational forces for fl at 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
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 modifi ed inverse method of characteristics are given for a singlevelocity 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 modifi ed inverse method of characteristics is applied. Using the proposed method, the spreading of a liquid column under the infl uence of gravitational forces for fl at 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
Author:  V. S. Surov
Keywords:  modifi ed inverse method of characteristics, multidimensional nodal method of characteristics
Page:  186