Publications

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Below is a list of my research publications.

  1. M. R. Turner (2024) Dynamic sloshing in a rectangular vessel with porous baffles. J. Eng. Maths 144(1) 1-34

  2. R. Poole and M. R. Turner (2023) The stability of jets and wakes confined by compliant walls. Phys. Rev. Fluids 8(6) 063901

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. M. R. Turner and J. Norbury (2019) Non-uniqueness in a Single Column Model for Moist Convection. J. Atmos. Sci. 77(3) 1001-1018

  11. 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

  12. 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

  13. 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

  14. 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

  15. M. R. Turner and P. D. Weidman (2019) Impinging Howarth stagnation-point flows. Euro. J. Mech. B/Fluids 74 pages 242-251

  16. 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

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

  18. 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

  19. 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

  20. 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)

  21. 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

  22. 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

  23. M. R. Turner and P. D. Weidman (2016) Coupled sloshing in hyperbolic containers suspended as a bifilar pendulum. Phys. Rev. Fluids 1(4) 043604

  24. 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

  25. M. R. Turner (2016) Liquid sloshing in a horizontally forced vessel with bottom topography. J. Fluids Struct. 64 pages 1-26

  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

  27. 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

  28. M. R. Turner and T. J. Bridges. (2016) Time-dependent conformal mapping of doubly-connected regions. Adv. Comp. Math. 42(4) pages 947-972

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. M. R. Turner (2014) Temporal evolution of vorticity staircases in randomly strained two-dimensional vortices. Phys. Fluids 26 (11) 116603

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. M. R. Turner and M. A. Berger (2011) Braiding exponents as a measure of mixing in coherent vortices. Fluid Dyn. Res. 43 035501

  43. 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)

  44. 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

  45. 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

  46. 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

  47. M. R. Turner, A. D. Gilbert and J. Thuburn (2008) Effective diffusion of scalar fields in a chaotic flow. Phys Fluids. 20 (10)

  48. 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

  49. 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)

  50. 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

  51. M. R. Turner (2007) Far downstream analysis for the Blasius boundary-layer stability problem. Q. J. Mech. Appl. Math. 60 (3) pages 255-274.

  52. 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

  1. 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

  1. 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

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

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