Publications
Below is a list of my publications. In time they will all have links to them, but if you would like a copy before then, then please get in touch.

M. R. Turner and P. D. Weidman (2021) Biorthogonally stretching of an elastic membrane beneath a uniformly rotating fluid. Phys. Rev. Fluids 6(7) 074104

D. J. Hill, D. J. B. Lloyd and M. R. Turner (2021) Localised Radial Patterns on the Free Surface of a Ferrofluid. J. Nonlinear Sci. 31 79

M. R. Turner and P. D. Weidman (2020) Homann stagnationpoint flow impinging on a biaxially stretching surface. Euro. J. Mech. B/Fluids 86 4956

M. R. Turner (2020) Leapfrogging criteria for a line vortex pair external to a circular cylinder. Phys. Fluids 32 096602 figure6b.gif, figure6d.gif, figure6f.gif, figure8b.gif, figure8d.gif, figure8f.gif, figure8h.gif

M. R. Turner and J. Norbury (2019) Nonuniqueness in a Single Column Model for Moist Convection. J. Atmos. Sci. 77(3) 10011018

M. R. Turner and J. R. Rowe (2019) Coupled shallowwater fluid sloshing in an upright annular vessel. J. Eng. Maths 119(1) 4367

P. D. Weidman and M. R. Turner (2019) The steady flow of one uniformly rotating fluid layer above another immiscible uniformly rotating fluid layer. Phys. Rev. Fluids 4 084002

M. R. Turner and P. D. Weidman (2019) The boundary layer flow induced above the torsional motion of a disk. Phys. Fluids 31(4) 043604

M. R. Turner and T. J. Bridges (2019) Wetting and drying of twolayer shallowwater flow in a moving vessel via semiLagrangian simulation. Euro. J. Mech. B/Fluids 76 pages 153165

M. R. Turner and P. D. Weidman (2019) Impinging Howarth stagnationpoint flows. Euro. J. Mech. B/Fluids 74 pages 242251

M. R. Turner (2018) Fluid sloshing in rectangular vessels with sidewall baffles using conformal mappings of multiplyconnected domains. Q. J. Mech. Appl. Math. 71(3) pages 245272

Y. H. Huang and M. R. Turner (2017) Dynamic fluid sloshing in a onedimensional array of coupled vessels. Phys. Rev. Fluids 2(12)

B. Cheng, M. J. P. Cullen, J. G. Esler, J. Norbury, M. R. Turner, J. Vanneste and J. Cheng (2017) A Model for Moist Convection in an Ascending Atmospheric Column. Quart. J. Roy. Meteorol. Soc. 143(708) pages 29252939

B. Cheng, J. Cheng, M. J. P. Cullen, J. Norbury, and M. R. Turner (2017) A Rigorous Treatment of Moist Convection in a Single Column. SIAM J. Num. Anal. 49(5) pages 38543892
 M. R. Turner and P. D. Weidman (2017) The absolute instability of a radially stretching disc beneath a rotating fluid. Phys. Rev. Fluids 2(7)
 M. R. Turner, T. J. Bridges and H. Alemi Ardakani. (2017) Lagrangian particle path formulation of multilayer shallowwater flows dynamically coupled to vessel motion. J. Eng. Maths. 106 (1) pages 75106
 P. D. Weidman and M. R. Turner (2017) Stagnationpoint flows with stretching surfaces: A unified formulation and new results. Euro. J. Mech. B/Fluids 61 pages 144153
 M. R. Turner and P. D. Weidman (2016) Coupled sloshing in hyperbolic containers suspended as a bifilar pendulum. Phys. Rev. Fluids 1(4) 043604
 P. D. Weidman and M. R. Turner (2016) Experiments on the synchronous sloshing in suspended containers described by shallowwater theory. J. Fluids Struct. 66 pages 331349
 M. R. Turner (2016) Liquid sloshing in a horizontally forced vessel with bottom topography. J. Fluids Struct. 64 pages 126
 H. Alemi Ardakani and M. R. Turner (2016) Numerical simulations of dynamic coupling between shallowwater sloshing and horizontal vessel motion with baffles. Fluid Dyn. Res. 48(3) pages 3550435531
 H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2016) Shallowwater sloshing in a moving vessel with variable crosssection and wettingdrying using an extension of George's wellbalanced finite volume solver. J. Comp. Phys. 314 pages 590617
 M. R. Turner and T. J. Bridges. (2016) Timedependent conformal mapping of doublyconnected regions. Adv. Comp. Math. 42(4) pages 947972
 T. J. Bridges, M. R. Turner and H. Alemi Ardakani (2016) Modelling and analysis of floating ocean wave energy extraction devices. UK Success Stories in Industrial Mathematics. Springer International Publishing. pages 7782
 H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2016) Adaptation of fwave finite volume methods to the twolayer shallowwater equations in a moving vessel with a rigidlid. J. Comput. Appl. Math. 296 pages 462479
 H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2015) Dynamic coupling between horizontal vessel motion and twolayer shallowwater sloshing. J. Fluids Struct. 59 pages 432460
 M. R. Turner, T. J. Bridges and H. Alemi Ardakani (2015) The pendulumslosh problem: Simulation using a timedependent conformal mapping. J. Fluids Struct. 59 pages 202223
 M. R. Turner, H. Alemi Ardakani and T. J. Bridges (2015) Instability of sloshing motion in a vessel undergoing pivoted oscillations. J. Fluids Struct. 52 pages 166180
 M. R. Turner (2014) Temporal evolution of vorticity staircases in randomly strained twodimensional vortices. Phys. Fluids 26 (11) 116603
 M. R. Turner, T. J. Bridges and H. Alemi Ardakani. (2013) Dynamic coupling in Cooker's sloshing experiment with baffles. Phys. Fluids 25 (10) 112102
 M. R. Turner and T. J. Bridges. (2013) Nonlinear energy transfer between fluid sloshing and vessel motion. J. Fluid Mech. 719 pages 606636, Supplementary material
 H. Alemi Ardakani, T. J. Bridges and M. R. Turner. (2012) Resonance in a model for Cooker's sloshing experiment. Euro. J. Mech. B/Fluids 36 pages 2538, The extended version, The equivalence report
 M. R. Turner, S. S. Sazhin, J. J. Healey, C. Crua and S. B. Martynov (2012) A breakup model for transient Diesel fuel jets. Fuel 97 pages 288305
 M. R. Turner (2012) TollmienSchlichting wave amplitudes on a semiinfinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations. Q. J. Mech. Appl. Math. 65 (2) pages 183210
 M. R. Turner, J. J. Healey, S. S. Sazhin and R. Piazzesi (2012) Wave packet analysis and breakup length calculations for accelerating planar liquid jets. Fluid Dyn. Res. 44 015503
 M. R. Turner, J. J. Healey, S. S. Sazhin and R. Piazzesi (2011) Stability analysis and breakup length calculations for steady planar liquid jets. J. Fluid Mech. 668 pages 384411
 M. R. Turner and M. A. Berger (2011) Braiding exponents as a measure of mixing in coherent vortices. Fluid Dyn. Res. 43 035501
 M. R. Turner, J. Thuburn and A. D. Gilbert (2009) The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source. Phys. Fluids. 21 (6)
 M. R. Turner, A. P. Bassom and A. D. Gilbert (2009) Diffusion and the formation of vorticity staircases in randomly strained twodimensional vortices. J. Fluid Mech. 638 pages 4972
 M. R. Turner and A. D. Gilbert (2009) Spreading of twodimensional axisymmetric vortices exposed to a rotating strain field. J. Fluid Mech. 630 pages 155177
 M. R. Turner and P. W. Hammerton (2009) Analysis of the unstable TollmienSchlichting mode on bodies with a rounded leading edge using the parabolized stability equation. J. Fluid Mech. 623 pages 167185
 M. R. Turner, A. D. Gilbert and J. Thuburn (2008) Effective diffusion of scalar fields in a chaotic flow. Phys Fluids. 20 (10)
 M. R. Turner and A. D. Gilbert (2008) Thresholds for the formation of satellites in twodimensional vortices. J. Fluid Mech. 614 pages 381405
 M. R. Turner, A. D. Gilbert and A. P. Bassom (2008) Neutral modes of a twodimensional vortex and their link to persistent cat's eyes. Phys. Fluids. 20 (2)
 M. R. Turner and A. D. Gilbert (2007) Linear and nonlinear decay of cat's eyes in twodimensional vortices, and the link to Landau poles. J. Fluid Mech. 593 pages 255279
 M. R. Turner (2007) Far downstream analysis for the Blasius boundarylayer stability problem. Q. J. Mech. Appl. Math. 60 (3) pages 255274.
 M. R. Turner and P. W. Hammerton (2006) Asymptotic receptivity and the Parabolized Stability Equation: a combined approach to boundary layer transition. J. Fluid Mech. 562 pages 355381.
PhD Thesis
 M. R. Turner (2005) Numerical and asymptotic approaches to boundarylayer receptivity and transition. Ph.D. Thesis, University of East Anglia, Norwich. pdf (External Examiner: Prof. N. Peake, University of Cambridge)
Unreviewed Publications

O. Bokhove, B. Cheng, A. Dedner, J. G. Esler, J. Norbury, M. R. Turner, J. Vanneste and M. J. P. Cullen (2016) Convection in a single column  Modelling, Algorithm and Analysis. Environmental Modelling in Industry Study Group 21st24th September 2015 (Cambridge) link

M. R. Turner (2002) The Motion of balls in sports. UEA MMath project (As cited in "Bob Woolmer's Art and Science of Cricket".)
(Please email me if you would like a copy of this project)
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