TY - JOUR
T1 - PIECEWISE LINEAR MODEL OF PHYTOPLANKTON WAVE PROPAGATION IN PERIODICAL VORTEX FLOW
AU - Miroshnichenko, Taisia
AU - Gubernov, Vladimir
AU - Minaev, Sergey
AU - Mislavskii, Vladimir
AU - Okajima, Junnosuke
N1 - Funding Information:
\ast Received by the editors March 18, 2021; accepted for publication (in revised form) October 1, 2021; published electronically February 15, 2022. https://doi.org/10.1137/21M1405861 Funding: This work was supported by the Ministry of Science and Higher Education of the Russian Federation under contract no. 075-15-2019-1878. \dagger P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia (miroshnichenkotp@lebedev.ru, gubernovvv@lebedev.ru, vmislavskii@gmail.com). \ddagger P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia; and Institute of Applied Mathematics FEB RAS, Vladivostok, Russia (minaevss@yahoo.com). \S Institute of Applied Mathematics FEB RAS, Vladivostok, Russia; and Institute of Fluid Science, Tohoku University, Sendai, Japan (j.okajima@tohoku.ac.jp).
Publisher Copyright:
© 2022 Society for Industrial and Applied Mathematics
PY - 2022
Y1 - 2022
N2 - A piecewise linear model of phytoplankton growth in the presence of a convective flow has been proposed in the paper. The model, in one-dimensional formulation, admits a stable autowave solution, propagating with a certain critical minimum velocity. The main purpose of the work is to study the features of the phytoplankton front propagation in the presence of vortex flow. The vortex flow represents chain of two-dimensional vortices described by the Taylor-Green solution of incompressible Navier-Stokes equations. Different regimes of wave propagation are revealed depending on the intensity of the vortex flow and the model parameters. In particular, the wobbling, zigzag, and jumping regimes are found if the velocity of convective flow is less or comparable, exceeds, and is much greater than the front propagation speed in still media, respectively. The front propagation velocity is characterized by definite types of dependence on the flow intensity in different regimes.
AB - A piecewise linear model of phytoplankton growth in the presence of a convective flow has been proposed in the paper. The model, in one-dimensional formulation, admits a stable autowave solution, propagating with a certain critical minimum velocity. The main purpose of the work is to study the features of the phytoplankton front propagation in the presence of vortex flow. The vortex flow represents chain of two-dimensional vortices described by the Taylor-Green solution of incompressible Navier-Stokes equations. Different regimes of wave propagation are revealed depending on the intensity of the vortex flow and the model parameters. In particular, the wobbling, zigzag, and jumping regimes are found if the velocity of convective flow is less or comparable, exceeds, and is much greater than the front propagation speed in still media, respectively. The front propagation velocity is characterized by definite types of dependence on the flow intensity in different regimes.
KW - autowave
KW - Fisher KPP
KW - phytoplankton
KW - vortex flow
UR - http://www.scopus.com/inward/record.url?scp=85130719828&partnerID=8YFLogxK
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U2 - 10.1137/21M1405861
DO - 10.1137/21M1405861
M3 - Article
AN - SCOPUS:85130719828
SN - 0036-1399
VL - 82
SP - 294
EP - 312
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 1
ER -