DOI: https://doi.org/10.26089/NumMet.v26r438

Numerical method for modeling multiscale dynamics of gas-dispersed media with two relaxation parameters based on Smoothed Particle Hydrodynamics

Authors

  • Tatiana A. Savvateeva

Keywords:

gas-dispersed media
smoothed particle hydrodynamics
interphase exchange

Abstract

In some applications, it is advisable to simulate the dynamics of gas-dispersed media using the particle method. In this case, when using the particle-particle approach to calculate the interphase interaction, there is a problem of excess dissipation when solving problems with a small parameter. It is known that the particle-mesh approach solves this problem in the case of one relaxation process (momentum exchange). The work is an experimental study of the possibilities of extending this approach to the case of two relaxation processes (momentum and thermal energy exchange). The test problem is the problem of the motion of a plane sound wave, which has a reference solution for small-amplitude waves. The modes are considered in which the relaxation times are significantly longer, comparable, and significantly shorter than the wave period. It is found that the method under consideration does not introduce dissipation into the solution even with a small number of particles in a cell, but introduces excess counting dispersion in the mode when the relaxation times are comparable to the wave period. To reduce the level of dispersion, it is necessary to increase the number of particles in the cell (up to 5 in the one-dimensional case) and select the time step according to the Courant condition, in which the length scale is the distance from the particle to its nearest neighbor.


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Published

2025-12-19

Issue

Vol. 26 (2025): Issue 4.

Section

Methods and algorithms of computational mathematics and their applications

Author

Tatiana A. Savvateeva

Lavrent'ev Institute of Hydrodynamics of SB RAS

• Junior Researcher

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