vortex dynamics, fluid convection, dynamic systems, structures in fluid
UDC:
519.634
Subject:
computational mathematics, fluid mechanics, mathematical biology, dynamic systems
Main publications:
Govorukhin V., “Bifurcations phenomena and route to chaos via the cosymmetry breaking in the Darcy convection problem”, Physica D: Nonlinear Phenomena, 460:art. 134092 (2024)
Govorukhin V.N., Tsybulin V.G., “Multistability, scattering and selection of equilibria in the mechanical system with constraint”, Communications in Nonlinear Science and Numerical Simulation, 95:art. 105602 (2021)
Govorukhin V., Shevchenko I., “Multiple equilibria, bifurcations and selection scenarios in cosymmetric problem of thermal convection in porous medium”, Physica D: Nonlinear Phenomena, 361 (2017), 42-58
Govorukhin V., Zhdanov, I., “Steady-state flows of inviscid incompressible fluid and related particle dynamics in rectangular channels”, European Journal of Mechanics, B/Fluids, 67 (2018), 280-290
Govorukhin V., “An extended and improved particle-spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length”, International Journal for Numerical Methods in Fluids, 95:4 (2023), 579-602
V. N. Govorukhin, B. K. Goncharov, “Scenarios of passive particle transport in the velocity field of a vortex pair in shear flow”, Izvestiya VUZ. Applied Nonlinear Dynamics, 33:3 (2025), 341–360
2024
2.
V. N. Govorukhin, “Identification and prediction of a plane vortex flow by using the Rankine vortices”, Prikl. Mekh. Tekh. Fiz., 65:5 (2024), 60–75; J. Appl. Mech. Tech. Phys., 65:5 (2024), 844–857
2023
3.
V. N. Govorukhin, “Algorithm for vortices identification based on flow velocity vectors using the simplest mathematical model of vortex dynamics”, Computer Research and Modeling, 15:6 (2023), 1477–1493
V. N. Govorukhin, “Identification and dynamics prediction of a plane vortex structure based on a mathematical model of a point vortices system”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:6 (2023), 710–726
5.
V. N. Govorukhin, “Transfer of passive particles in the velocity field of vortex tripole moving on a plane”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:3 (2023), 286–304
V. N. Govorukhin, A. D. Zagrebneva, “Population waves and their bifurcations in a model “active predator–passive prey””, Computer Research and Modeling, 12:4 (2020), 831–843
V. N. Govorukhin, “Numerical study of dynamical system generated by CABC vector field”, Izvestiya VUZ. Applied Nonlinear Dynamics, 28:6 (2020), 633–642
V. N. Govorukhin, V. G. Tsybulin, M. Yu. Tyaglov, “Multistability and memory effects in dynamical system with cosymmetric potential”, Izvestiya VUZ. Applied Nonlinear Dynamics, 28:3 (2020), 259–273
2019
9.
V. N. Govorukhin, А. M. Filimonova, “Numerical calculation of planar geophysical flows of an inviscid incompressible fluid by a meshfree-spectral method”, Computer Research and Modeling, 11:3 (2019), 413–426
V. N. Govorukhin, “Emergence of self-excited oscillations in flows of inviscid fluids in a channel”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 1024–1036; Comput. Math. Math. Phys., 59:6 (2019), 994–1005
V. N. Govorukhin, A. D. Zagrebneva, V. V. Kartashev, “A mathematical model of spatial transmission of vector-borne disease”, Mat. Biolog. Bioinform., 13:2 (2018), 437–453
2017
12.
V. N. Govorukhin, “Parallel implementation of a meshfree method for calculating flows of ideal incompressible fluid”, Num. Meth. Prog., 18:2 (2017), 175–186
A. D. Zagrebneva, V. N. Govorukhin, F. A. Surkov, “Bifurcations in active predator - passive prey model”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:3 (2014), 94–106
V. N. Govorukhin, “On the action of internal heat sources on convective motion in a porous medium heated from below”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 43–52; J. Appl. Mech. Tech. Phys., 55:2 (2014), 225–233
V. N. Govorukhin, “On the choice of a method for integrating the equations of motion of a set of fluid particles”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 697–710; Comput. Math. Math. Phys., 54:4 (2014), 706–718