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.

  1. M. R. Turner (2017) Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains. Q. J. Mech. Appl. Math. (in press)
  2. Y. H. Huang and M. R. Turner (2017) Dynamic fluid sloshing in a one-dimensional array of coupled vessels. Phys. Rev. Fluids 2(12)
  3. 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
  4. 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
  5. 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)
  6. 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
  7. 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
  8. M. R. Turner and P. D. Weidman (2016) Coupled sloshing in hyperbolic containers suspended as a bifilar pendulum. Phys. Rev. Fluids 1(4) 043604
  9. 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
  10. M. R. Turner (2016) Liquid sloshing in a horizontally forced vessel with bottom topography. J. Fluids Struct. 64 pages 1-26
  11. 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
  12. 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
  13. M. R. Turner and T. J. Bridges. (2016) Time-dependent conformal mapping of doubly-connected regions. Adv. Comp. Math. 42(4) pages 947-972
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. M. R. Turner (2014) Temporal evolution of vorticity staircases in randomly strained two-dimensional vortices. Phys. Fluids 26 (11) 116603
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. M. R. Turner and M. A. Berger (2011) Braiding exponents as a measure of mixing in coherent vortices. Fluid Dyn. Res. 43 035501
  28. 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)
  29. 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
  30. 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
  31. 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
  32. M. R. Turner, A. D. Gilbert and J. Thuburn (2008) Effective diffusion of scalar fields in a chaotic flow. Phys Fluids. 20 (10)
  33. 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
  34. 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)
  35. 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
  36. M. R. Turner (2007) Far downstream analysis for the Blasius boundary-layer stability problem. Q. J. Mech. Appl. Math. 60 (3) pages 255-274.
  37. 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.
  38. 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)
  39. Un-reviewed Publications

  40. 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
  41. M. R. Turner (2002) The Motion of balls in sports. UEA MMath project (As cited in "Bob Woolmer's Art and Science of Cricket".)
  42. (Please email me if you would like a copy of this project)

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