Algorithmic aspects of simulation of magnetic field generation by thermal convection in a plane layer of fluid
D Tolmachev, R Chertovskih, V Zheligovsky - Mathematics, 2023 - mdpi.com
We present an algorithm for numerical solution of the equations of magnetohydrodynamics
describing the convective dynamo in a plane horizontal layer rotating about an arbitrary axis …
describing the convective dynamo in a plane horizontal layer rotating about an arbitrary axis …
Study of rotation effect on nanofluid natural convection and heat transfer by the immersed boundary-lattice Boltzmann method
T Lai, J Xu, X Liu, M He - Energies, 2022 - mdpi.com
Aiming to investigate the rotation effect on the natural convection and heat transfer of
nanofluid, which has an important application in the control of heat transfer, the velocity field …
nanofluid, which has an important application in the control of heat transfer, the velocity field …
[HTML][HTML] Numerical study of the impacts of stochastic forcing on the vortex in fluid flow
J Lv, X Hou, J Chen, X Wang - Partial Differential Equations in Applied …, 2024 - Elsevier
This paper focuses on a numerical study about the stochastic Navier–Stokes equations.
Unlike previous studies, this paper focuses on studying these equations from the …
Unlike previous studies, this paper focuses on studying these equations from the …
Predictability of Magnetic Field Reversals
D Tolmachev, R Chertovskih, SR Jeyabalan… - Mathematics, 2024 - mdpi.com
Geomagnetic field measurements indicate that at present we may be on the brink of the
Earth's magnetic field reversal, potentially resulting in all the accompanying negative …
Earth's magnetic field reversal, potentially resulting in all the accompanying negative …
[HTML][HTML] Bénard–Marangoni Convection in an Open Cavity with Liquids at Low Prandtl Numbers
H Jiang, W Liao, E Chen - Symmetry, 2024 - mdpi.com
Bénard–Marangoni convection in an open cavity has attracted much attention in the past
century. In most of the previous works, liquids with Prandtl numbers larger than unity were …
century. In most of the previous works, liquids with Prandtl numbers larger than unity were …
Transition to chaos and magnetic field generation in rotating Rayleigh-B\'enard convection
DN Oliveira, R Chertovskih, EL Rempel… - arXiv preprint arXiv …, 2024 - arxiv.org
Hydrodynamic and magnetohydrodynamic convective attractors in three-dimensional
rotating Rayleigh-B\'enard convection are studied numerically by varying the Taylor and …
rotating Rayleigh-B\'enard convection are studied numerically by varying the Taylor and …
Depletion of nonlinearity in space-analytic space-periodic solutions to equations of diffusive magnetohydrodynamics
V Zheligovsky - arXiv preprint arXiv:2404.14429, 2024 - arxiv.org
We consider solenoidal space-periodic space-analytic solutions to the equations of
magnetohydrodynamics. An elementary bound shows that due to the special structure of the …
magnetohydrodynamics. An elementary bound shows that due to the special structure of the …