Version 1
: Received: 20 August 2024 / Approved: 21 August 2024 / Online: 21 August 2024 (07:39:58 CEST)
How to cite:
Sobchuk, V.; Kurylko, O.; Boryseiko, O.; Perehuda, O.; Lebedyeva, I.; Vashchilina, O. Analytical and Computer Modelling of Chaotic Advection of Stokes Flow Inside a Rectangular Cavity under Constant Velocities. Preprints2024, 2024081520. https://doi.org/10.20944/preprints202408.1520.v1
Sobchuk, V.; Kurylko, O.; Boryseiko, O.; Perehuda, O.; Lebedyeva, I.; Vashchilina, O. Analytical and Computer Modelling of Chaotic Advection of Stokes Flow Inside a Rectangular Cavity under Constant Velocities. Preprints 2024, 2024081520. https://doi.org/10.20944/preprints202408.1520.v1
Sobchuk, V.; Kurylko, O.; Boryseiko, O.; Perehuda, O.; Lebedyeva, I.; Vashchilina, O. Analytical and Computer Modelling of Chaotic Advection of Stokes Flow Inside a Rectangular Cavity under Constant Velocities. Preprints2024, 2024081520. https://doi.org/10.20944/preprints202408.1520.v1
APA Style
Sobchuk, V., Kurylko, O., Boryseiko, O., Perehuda, O., Lebedyeva, I., & Vashchilina, O. (2024). Analytical and Computer Modelling of Chaotic Advection of Stokes Flow Inside a Rectangular Cavity under Constant Velocities. Preprints. https://doi.org/10.20944/preprints202408.1520.v1
Chicago/Turabian Style
Sobchuk, V., Iryna Lebedyeva and Olena Vashchilina. 2024 "Analytical and Computer Modelling of Chaotic Advection of Stokes Flow Inside a Rectangular Cavity under Constant Velocities" Preprints. https://doi.org/10.20944/preprints202408.1520.v1
Abstract
Two-dimensional periodic Stokes flow of viscous incompressible fluid in a rectangular cavity with constant velocities applied to the top and bottom walls is considered. The study of chaotic advection regimes is reduced to the sequential solving of two problems. To solve the first problem, the analytical method of superposition, that allows to obtain any desired accuracy of the velocity field, is used. To solve the second problem, which is associated with obtaining the trajectories of individual fluid particles, numerical calculations of the Cauchy problem were performed. An analysis of the boundary conditions accuracy was performed based on the control of local integration. The advection of the selected volume of fluid in the rectangular cavity under the periodic motion of walls for a finite period time based on piecewise spline cubic interpolation is modelled. The obtained numerical results agree with well-known experimental data.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
