Stochastic analysis of the time evolution of laminar-turbulent bands of plane Couette flow

@article{Rolland2015StochasticAO,
  title={Stochastic analysis of the time evolution of laminar-turbulent bands of plane Couette flow},
  author={J. Rolland},
  journal={The European Physical Journal E},
  year={2015},
  volume={38},
  pages={1-13}
}
  • J. Rolland
  • Published 2015
  • Physics, Medicine
  • The European Physical Journal E
Abstract.This article is concerned with the time evolution of the oblique laminar-turbulent bands of transitional plane Couette flow under the influence of turbulent noise. Our study is focused on the amplitude of modulation of turbulence (the bands). In order to guide the numerical study of the flow, we first perform an analytical and numerical analysis of a Stochastic Ginzburg-Landau (GL) equation for a complex order parameter. The modulus of this order parameter models the amplitude of… Expand
Finite size analysis of a double crossover in transitional wall turbulence
This article presents the finite size analysis of two consecutive crossovers leading laminar-turbulent bands to uniform wall turbulence in transitional plane Couette flow. Direct numericalExpand
Temporal and spatial intermittencies within channel flow turbulence near transition
Direct numerical simulations (DNS) of plane Poiseuille flow are performed in an extended domain at friction Reynolds numbers ranging from 70 to 100. In minimal domains, turbulence in this ReynoldsExpand
Spatiotemporal dynamics of viscoelastic turbulence in transitional channel flow
Abstract Direct numerical simulations (DNS) of viscoelastic turbulence in channel flow are performed in minimal and large domains and the dynamics in the two cases are compared. Friction ReynoldsExpand
Collective cell migration without proliferation: density determines cell velocity and wave velocity
TLDR
This model combines conservation laws, monolayer mechanical properties and a phenomenological coupling between strain and polarity: advancing cells pull on their followers, which then become polarized, and with reasonable values of parameters, this model agrees with several of the experimental observations. Expand
Cell growth, division, and death in cohesive tissues: A thermodynamic approach.
TLDR
It is shown how linear nonequilibrium thermodynamics allows for a nonzero rate of variation of cell density to be expressed as a combination of relevant thermodynamic forces: chemical potential, velocity divergence, and activity. Expand
From cells to tissue: A continuum model of epithelial mechanics.
TLDR
This study provides an integrated scheme for the understanding of the orchestration of morphogenetic processes in individual cells to achieve epithelial tissue morphogenesis by elucidated dynamical behavior underlying passive relaxation, active contraction-elongation, and tissue shear flow. Expand
Biological and biomechanical analysis of two types of mesenchymal stem cells for intervention in chemotherapy-induced ovarian dysfunction
TLDR
UC-MSC and h-AMSC intervention restored damaged ovarian morphology, elasticity, and toughness to a certain extent, and ovarian function showed some recovery. Expand

References

SHOWING 1-10 OF 35 REFERENCES
On modelling transitional turbulent flows using under-resolved direct numerical simulations: the case of plane Couette flow
Direct numerical simulations have proven of inestimable help to our understanding of the transition to turbulence in wall-bounded flows. While the dynamics of the transition from laminar flow toExpand
Mechanical and statistical study of the laminar hole formation in transitional plane Couette flow
This article is concerned with the numerical study and modelling of two aspects the formation of laminar holes in transitional turbulence of plane Couette flow (PCF). On the one hand, we considerExpand
Ginzburg–Landau description of laminar-turbulent oblique band formation in transitional plane Couette flow
Abstract. Plane Couette flow, the flow between two parallel planes moving in opposite directions, is an example of wall-bounded flow experiencing a transition to turbulence with an orderedExpand
From temporal to spatiotemporal dynamics in transitional plane Couette flow.
  • J. Philip, P. Manneville
  • Mathematics, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
TLDR
There exists a streamwise crossover size of order L{x}~70-80 h beyond which the transition to or from turbulence in PCF is undoubtedly a spatiotemporal process, with typical scenario turbulent flow→riddled regime→oblique pattern→ laminar flow, whereas below that size it is more a temporal process describable in terms of finite-dimensional dynamical systems. Expand
Formation of spanwise vorticity in oblique turbulent bands of transitional plane Couette flow, part 1: Numerical experiments
Abstract This article investigates the formation of spanwise vorticity in the velocity streaks of the oblique laminar–turbulent bands of plane Couette flow (PCF) by mean of Direct NumericalExpand
Formation of turbulent patterns near the onset of transition in plane Couette flow
The formation of turbulent patterns in plane Couette flow is investigated near the onset of transition, using numerical simulation in a very large domain of size 800 h × 2 h × 356 h. Based on aExpand
Mean flow of turbulent–laminar patterns in plane Couette flow
A turbulent–laminar banded pattern in plane Couette flow is studied numerically. This pattern is statistically steady, is oriented obliquely to the streamwise direction, and has a very largeExpand
Long-wavelength modulation of turbulent shear flows
Abstract The reverse transition from turbulent to laminar flow is studied in very large aspect ratio plane Couette and Taylor–Couette experiments. We show that laminar-turbulence coexistence dynamicsExpand
Patterns and dynamics in transitional plane Couette flow
Near transition, plane Couette flow takes the form of large-scale, oblique, and statistically steady alternating bands of turbulent and laminar flow. Properties of these flows are investigated usingExpand
Visualizing the geometry of state space in plane Couette flow
Motivated by recent experimental and numerical studies of coherent structures in wall-bounded shear flows, we initiate a systematic exploration of the hierarchy of unstable invariant solutions of theExpand
...
1
2
3
4
...