In book
Guskova M., Shchur L. Vol. 2. , Springer Publishing Company, 2021.
Maria Guskova, Shchur L., , in: Supercomputing Book Subtitle 7th Russian Supercomputing Days, RuSCDays 2021, Moscow, Russia, September 27–28, 2021, Revised Selected Papers Series Title Communications in Computer and Information Science.: Springer, 2021.
We simulate the drop-chain movement in the two-dimensional channel using the lattice Boltzmann method coupled with the Immersed Boundary approach. We choose the asymmetric initial state of the drop chain to generate drop oscillations and calculate the wave spectrum. The numerical results coincide qualitatively with the experimental results obtained in the quasi-two-dimensional microfluidic device. ...
Added: May 31, 2022
Ziganurova L., Shchur L., Lobachevskii Journal of Mathematics 2022 Vol. 43 No. 2 P. 513–518
The Lattice Boltzmann method (LBM) is the alternative approach for hydrodynamic
equation solving. Two factors make it a favorite approach nowadays. Firstly, the attractive feature
of LBM is that it is intrinsic for parallel simulations due to the linear structure of the algorithm.
Secondly, what makes LBM special for the research, it is well applicable to the simulations ...
Added: May 25, 2022
Guskova M., Burovskiy E., Shchur V. et al., Lobachevskii Journal of Mathematics 2022 Vol. 43 No. 2 P. 381–385
A particle moving in the Poiseuille flow in a channel experiences the influence of
the velocity gradient and the channel walls. Several effects happen with the particle – velocity
retardation, rotation, and migration transversal to the main flow direction. We simulate dynamics
of a hard particle in a narrow two-dimensional channel and estimate the variation with the channel
width ...
Added: May 25, 2022
Shchur L., Guskova M., Communications in Computer and Information Science 2021 Vol. 1131 P. 198–206
The classical problem of oscillations of liquid droplets is a good test for the applicability of computer simulation. We discuss the details of our approach to a simulation scheme based on the Boltzmann lattice equation. We show the results of modeling induced vibrations in a chain of three drops in a closed tube. In the ...
Added: February 20, 2021
Guskova M., Shchur L., Journal of Physics: Conference Series 2021 Vol. 1740 P. 1–6
The stability of the quasi-two-dimensional droplet flow is of great importance in microfluidic devices. We check the drop's stability in the square box using the immersed boundary and lattice Boltzmann methods. We implement two-dimensional equations within the immersed boundary approach in the Palabos programming platform. We check the influence
of the boundaries on the drop movement. ...
Added: February 19, 2021
Guskova M., Shchur L., Springer Publishing Company, 2021.
We discuss the applicability of multiphase lattice Boltzmann method for the simulation of the drop
oscillation. We demonstrate that the simulation of the single drop excited to the first eigenmode does
follow Rayleigh formula. Simulations show no sensitivity to the number of the discrete velocities with
D3Q19 and D3Q27 representations of the distribution function in three dimensions. The ...
Added: February 19, 2021
Zagvozdina K., Burovskiy E., Journal of Physics: Conference Series 2021 Vol. 1740 Article 012027
Lattice Boltzmann method is a mesoscopic method used for solving hydrodynamics problems of both incompressible and compressible fluids. Although the method is widely used, reliability of the results is unclear. Therefore, we use the method to solve a fundamental problem with a known analytical solution, the Couette flow. We estimate the accuracy of the simulation ...
Added: January 22, 2021
Guskova M., Shchur L., , in: Communications in Computer and Information ScienceVol. Analysis of Images, Social Networks, and Texts. Forth Conference.: Springer, 2015. P. 992–995.
The classical problem of oscillations of liquid droplets is a good test for the applicability of computer simulation. We discuss the details of our approach to a simulation scheme based on the Boltzmann lattice equation. We show the results of modeling induced vibrations in a chain of three drops in a closed tube. In the ...
Added: December 11, 2020
Guskova M., Shchur V., Shchur L., Lobachevskii Journal of Mathematics 2020 Vol. 41 No. 6 P. 992–995
We simulate the oscillation of the viscous drop in the viscous liquid. We combine methods of chromodynamics model and Shan-Chen pseudo-potential for the immiscible fluids. We measure the frequency of the first nontrivial eigenmode using the initial ellipsoid form of the drop. Drop oscillates about the equilibrium spherical form of radius $R$. Computed frequency as ...
Added: June 2, 2020