Publications
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Below is a list of my research publications.
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A. Mansar, M. R. Turner, T. J. Bridges and F. Dias (2025) Effect of real-world perturbations on wave breaking due to a sharp-crested superharmonic instability. Water Waves (in press)
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R. Poole and M. R. Turner (2024) The Effect of Asymmetry on the Absolute Instability of Confined Jets and Wakes. Fluid Dyn. Res. 56 055504
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M. R. Turner (2024) Numerical simulations of shallow-water sloshing coupled to horizontal vessel motion in the presence of a time-dependent porous baffle. J. Eng. Maths 147(3) 3
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M. R. Turner (2024) Dynamic sloshing in a rectangular vessel with porous baffles. J. Eng. Maths 144(1) 22
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R. Poole and M. R. Turner (2023) The stability of jets and wakes confined by compliant walls. Phys. Rev. Fluids 8(6) 063901
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T. Rossides, D. J. B. Lloyd, S. Zelik and M. R. Turner (2023) The dynamics of interacting multi-pulses in the one-dimensional quintic complex Ginzburg-Landau equation. SIAM J. Appl. Dyn. Syst. 22(3) 2242-2281
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M. R. Turner and R. P. Sear (2023) Critical scaling of the deposition efficiency of inertia-driven particle collisions with a cylinder in high Reynolds number air flow. Phys. Rev. Fluids 8(1) 014302
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H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2022) A new physically realisable internal 1:1 resonance in the coupled pendulum-slosh system. Euro. J. Mech. B/Fluids 98 180-193
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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
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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
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M. R. Turner and P. D. Weidman (2020) Homann stagnation-point flow impinging on a biaxially stretching surface. Euro. J. Mech. B/Fluids 86 49-56
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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
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M. R. Turner and J. Norbury (2019) Non-uniqueness in a Single Column Model for Moist Convection. J. Atmos. Sci. 77(3) 1001-1018
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M. R. Turner and J. R. Rowe (2019) Coupled shallow-water fluid sloshing in an upright annular vessel. J. Eng. Maths 119(1) 43-67
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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
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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
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M. R. Turner and T. J. Bridges (2019) Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation. Euro. J. Mech. B/Fluids 76 pages 153-165
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M. R. Turner and P. D. Weidman (2019) Impinging Howarth stagnation-point flows. Euro. J. Mech. B/Fluids 74 pages 242-251
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M. R. Turner (2018) Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains. Q. J. Mech. Appl. Math. 71(3) pages 245-272
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Y. H. Huang and M. R. Turner (2017) Dynamic fluid sloshing in a one-dimensional array of coupled vessels. Phys. Rev. Fluids 2(12)
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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 2925-2939
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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 3854-3892
- 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 shallow-water flows dynamically coupled to vessel motion. J. Eng. Maths. 106 (1) pages 75-106
- P. D. Weidman and M. R. Turner (2017) Stagnation-point flows with stretching surfaces: A unified formulation and new results. Euro. J. Mech. B/Fluids 61 pages 144-153
- 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 shallow-water theory. J. Fluids Struct. 66 pages 331-349
- M. R. Turner (2016) Liquid sloshing in a horizontally forced vessel with bottom topography. J. Fluids Struct. 64 pages 1-26
- H. Alemi Ardakani and M. R. Turner (2016) Numerical simulations of dynamic coupling between shallow-water sloshing and horizontal vessel motion with baffles. Fluid Dyn. Res. 48(3) pages 35504-35531
- H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2016) Shallow-water sloshing in a moving vessel with variable cross-section and wetting-drying using an extension of George's well-balanced finite volume solver. J. Comp. Phys. 314 pages 590-617
- M. R. Turner and T. J. Bridges. (2016) Time-dependent conformal mapping of doubly-connected regions. Adv. Comp. Math. 42(4) pages 947-972
- 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 77-82
- H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2016) Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid. J. Comput. Appl. Math. 296 pages 462-479
- H. Alemi Ardakani, T. J. Bridges and M. R. Turner (2015) Dynamic coupling between horizontal vessel motion and two-layer shallow-water sloshing. J. Fluids Struct. 59 pages 432-460
- M. R. Turner, T. J. Bridges and H. Alemi Ardakani (2015) The pendulum-slosh problem: Simulation using a time-dependent conformal mapping. J. Fluids Struct. 59 pages 202-223
- 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 166-180
- M. R. Turner (2014) Temporal evolution of vorticity staircases in randomly strained two-dimensional 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 606-636, 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 25-38, 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 288-305
- M. R. Turner (2012) Tollmien-Schlichting wave amplitudes on a semi-infinite 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 183-210
- M. R. Turner, J. J. Healey, S. S. Sazhin and R. Piazzesi (2012) Wave packet analysis and break-up 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 break-up length calculations for steady planar liquid jets. J. Fluid Mech. 668 pages 384-411
- 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 two-dimensional vortices. J. Fluid Mech. 638 pages 49-72
- M. R. Turner and A. D. Gilbert (2009) Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field. J. Fluid Mech. 630 pages 155-177
- M. R. Turner and P. W. Hammerton (2009) Analysis of the unstable Tollmien-Schlichting mode on bodies with a rounded leading edge using the parabolized stability equation. J. Fluid Mech. 623 pages 167-185
- 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 two-dimensional vortices. J. Fluid Mech. 614 pages 381-405
- M. R. Turner, A. D. Gilbert and A. P. Bassom (2008) Neutral modes of a two-dimensional 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 two-dimensional vortices, and the link to Landau poles. J. Fluid Mech. 593 pages 255-279
- M. R. Turner (2007) Far downstream analysis for the Blasius boundary-layer stability problem. Q. J. Mech. Appl. Math. 60 (3) pages 255-274.
- 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 355-381.
PhD Thesis
- M. R. Turner (2005) Numerical and asymptotic approaches to boundary-layer receptivity and transition. Ph.D. Thesis, University of East Anglia, Norwich. pdf (External Examiner: Prof. N. Peake, University of Cambridge)
Un-reviewed Publications
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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 21st-24th September 2015 (Cambridge) link
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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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