Now showing items 1-20 of 22

  • Accelerated diffusion in the centre of a vortex 

    Bajer, Konrad; Bassom, Andrew P.; Gilbert, Andrew D. (Cambridge University Press, 2001)
    The spiral wind-up and diffusive decay of a passive scalar in circular streamlines is considered. An accelerated diffusion mechanism operates to destroy scalar fluctuations on a time scale of order P1/3 times the turn-over ...
  • Critical layer and radiative instabilities in shallow-water shear flows 

    Riedinger, X; Gilbert, Andrew D. (Cambridge University Press, 2014-06-23)
    In this study a linear stability analysis of shallow-water flows is undertaken for a representative Froude number $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let ...
  • Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices 

    Turner, M.R.; Bassom, Andrew P.; Gilbert, Andrew D. (Cambridge University Press, 2009)
    The spreading and diffusion of two-dimensional vortices subject to weak external random strain fields is examined. The response to such a field of given angular frequency depends on the profile of the vortex and can be ...
  • Dissipative structures in a nonlinear dynamo 

    Gilbert, Andrew D.; Ponty, Y.; Zheligovsky, V. (Taylor & Francis, 2010-12-02)
    This paper considers magnetic field generation by a fluid flow in a system referred to as the Archontis dynamo: a steady nonlinear magnetohydrodynamic (MHD) state is driven by a prescribed body force. The field and flow become ...
  • Dynamo action in the ABC flows using symmetries 

    Jones, Samuel Edward; Gilbert, Andrew D. (Taylor & Francis, 2013-09-25)
    This paper concerns kinematic dynamo action by the 1:1:1 ABC flow, in the highly conducting limit of large magnetic Reynolds number Rm. The flow possesses 24 symmetries, with a symmetry group isomorphic to the group O24 ...
  • Effective diffusion of scalar fields in a chaotic flow 

    Turner, M. R.; Gilbert, Andrew D.; Thuburn, John (American Institute of Physics, 2008)
    The advection of a tracer field in a fluid flow can create complex scalar structures and increase the effect of weak diffusion by orders of magnitude. One tool to quantify this is to measure the flux of scalar across contour ...
  • Flux Expulsion with Dynamics 

    Mason, J; Gilbert, Andrew D.; Tobias, SM (Cambridge University Press (CUP), 2016)
    In the process of flux expulsion, a magnetic field is expelled from a region of closed streamlines on a T R1/3 m time scale, for magnetic Reynolds number Rm 1 (T being the turnover time of the flow). This classic result ...
  • The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source 

    Turner, M. R.; Thuburn, John; Gilbert, Andrew D. (American Institute of Physics, 2009)
    In this paper we examine the influence of periodic islands within a time periodic chaotic flow on the evolution of a scalar tracer. The passive scalar tracer is injected into the flow field by means of a steady source term. ...
  • Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection 

    Ponty, Y.; Gilbert, Andrew D.; Soward, Andrew M. (Cambridge University Press, 2001)
    A numerical investigation is presented of kinematic dynamo action in a dynamically driven fluid flow. The model isolates basic dynamo processes relevant to field generation in the Solar tachocline. The horizontal plane ...
  • Linear and nonlinear decay of cat's eyes in two-dimensional vortices, and the link to Landau poles 

    Turner, M. R.; Gilbert, Andrew D. (Cambridge University Press, 2007)
    This paper considers the evolution of smooth, two-dimensional vortices subject to a rotating external strain field, which generates regions of recirculating, cat's eye stream line topology within a vortex. When the external ...
  • Neutral modes of a two-dimensional vortex and their link to persistent cat's eyes 

    Turner, M. R.; Gilbert, Andrew D.; Bassom, Andrew P. (American Institute of Physics, 2008)
    This paper considers the relaxation of a smooth two-dimensional vortex to axisymmetry after the application of an instantaneous, weak external strain field. In this limit the disturbance decays exponentially in time at a ...
  • Nonlinear dynamo action in rotating convection and shear 

    Zhang, Pu; Gilbert, Andrew D.; Zhang, Keke (Cambridge University Press, 2005)
    Magnetic field amplification by the motion of an electrically conducting fluid is studied, using a rotating plane-layer geometry. The fluid flow is driven by convection, and by a moving bottom boundary, which leads to an ...
  • Nonlinear equilibration of a dynamo in a smooth helical flow 

    Bassom, Andrew P.; Gilbert, Andrew D. (Cambridge University Press, 1997)
    We investigate the nonlinear equilibration of magnetic fields in a smooth helical flow at large Reynolds number Re and magnetic Reynolds number Rm with Re >> Rm >> 1. We start with a smooth spiral Couette flow driven by ...
  • On the form of the viscous term for two dimensional Navier-Stokes flows 

    Gilbert, Andrew D.; Riedinger, X; Thuburn, John (Oxford University Press, 2014-02-27)
    The form of the viscous term is discussed for incompressible flow on a two-dimensional curved surface S and for the shallow water equations. In the case of flow on a surface three versions are considered. These correspond ...
  • The onset of thermal convection in Ekman–Couette shear flow with oblique rotation 

    Ponty, Y.; Gilbert, Andrew D.; Soward, Andrew M. (Cambridge University Press, 2003)
    The onset of convection of a Boussinesq fluid in a horizontal plane layer is studied. The system rotates with constant angular velocity Ω, which is inclined at an angle ϑ to the vertical. The layer is sheared by keeping ...
  • Passive scalar decay in chaotic flows with boundaries 

    Zaggout, FA; Gilbert, Andrew D. (IOP Publishing for Japan Society of Fluid Mechanics, 2012-02-29)
    This paper considers the long-time decay rate of a passive scalar in twodimensional flow. The focus is on the effects of boundary conditions for kinematically prescribed velocity fields with random or periodic time dependence. ...
  • The spiral wind-up and dissipation of vorticity and a passive scalar in a strained planar vortex 

    Bassom, Andrew P.; Gilbert, Andrew D. (Cambridge University Press, 1999)
    The response of a Gaussian vortex to a weak time-dependent external strain field is studied numerically. The cases of an impulsive strain, an on–off step function, and a continuous random strain are considered. Transfers ...
  • The spiral wind-up of vorticity in an inviscid planar vortex 

    Bassom, Andrew P.; Gilbert, Andrew D. (Cambridge University Press, 1998)
    The relaxation of a smooth two-dimensional vortex to axisymmetry, also known as `axisymmetrization', is studied asymptotically and numerically. The vortex is perturbed at t = 0 and differential rotation leads to the wind-up ...
  • Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field 

    Turner, M.R.; Gilbert, Andrew D. (Cambridge University Press, 2009)
    This paper examines the evolution of an axisymmetric two-dimensional vortex in a steadily rotating strain field and the dynamical interactions that can enhance vortex spreading through resonant behaviour. Starting with a ...
  • Theory of ferromagnetic microswimmers 

    Gilbert, Andrew D.; Ogrin, Feodor Y.; Petrov, Peter G.; Winlove, C. Peter (Oxford University Press, 2011)
    This paper considers the dynamics of a microscale swimmer based on two magnetic beads that are elastically coupled together. A time-varying external magnetic field is imposed that has two principal effects: one is to exert ...