Staff Profile

Roles & Responsibilities

• Co-lead of the School's Athena Swan bid (2022-)
• Director of Business & Engagement, School of Mathematics, Statistics & Physics (2018-2021)

Previous Positions

• Senior Lecturer in Applied Mathematics, Newcastle University (2018-2023)
• Senior Lecturer & Lecturer in Applied Mathematics, School of Mathematics & Statistics, University of St Andrews (2006-18)
• Honorary Research Fellow, Department of Civil Engineering, University of Dundee (2008-2021)
• EPSRC Postdoctoral Research Associate, Department of Civil Engineering, University of Dundee (2003-2006)

Qualifications

• PhD in Applied Mathematics, Durham University (2000-03)
• BSc (1st class honours) in Mathematics with European Studies, Durham University, (1995-1999)

Research Interests

• Internal Solitary Waves (mode-1, mode-2, stability, shoaling, upper and lower boundary layer effects)
• Thermal Convection in Porous-Fluid Layers
• Geophysical Fluid Dynamics

Expertise includes experimental flow visualisation and measurement (PIV and micro-conductivity sensors) and numerical modelling (combined contour and pseudo-spectral).

Recent research lecture

Internal waves and ice interaction:

https://youtu.be/yv2_hfr1wFI

Funding

• Leverhulme Trust, Internal solitary waves of mode-2: theory, models and experiments (2024-2028)
• AURA DTP, PhD Studentship (2023-2027)
• EPSRC IAA, Mitigation of anoxic water build up in the Clyde (2019)
• NERC One Planet, PhD studentship (2019-2022)
• EPSRC IAA, Modelling anoxic water in the Clyde Estuary (2018)
• Energy Technology Partnership. PhD studentship (2017-2020)
• Hydralab Plus, Internal wave dynamics in the marginal ice zone (2017)
• Hydralab IV, Dynamics of restricted exchange flows (2011)
• Northern Research Partnership. PhD studentship (2009-2012)
• EPSRC, Breaking characteristics of large amplitude internal solitary waves (2008-2011)

• Articles

  • Hartharn-Evans SG, Stastna M, Carr M. A new approach to understanding fluid mixing in process-study models of stratified fluids. Nonlinear Processes in Geophysics 2024, 31(1), 61-74.
  • Carr M, Cuthbertson AJS, Munro R. Preface to the Special issue of Environmental Fluid Mechanics in Honour of Peter A. Davies. Environmental Fluid Mechanics 2023, 23, 185-189.
  • Hartharn-Evans SG, Carr M, Stastna M. Interactions between Internal Solitary Waves and Sea Ice. Journal of Geophysical Research: Oceans 2023. In Press.
  • Dritschel HJ, Dritschel DG, Carr M. A conformal mapping approach to modelling two-dimensional stratified flow. Journal of Computational Physics: X 2023, 17, 100129.
  • Hartharn-Evans SG, Carr M, Stastna M, Davies PA. Stratification effects on shoaling internal solitary waves. Journal of Fluid Mechanics 2022, 933, A19.
  • Hartharn-Evans SG, Stastna M, Carr M. Dense pulses formed from fissioning internal waves. Environmental Fluid Mechanics 2023, 23, 389-405.
  • Deepwell D, Stastna M, Carr M, Davies PA. Wave generation through the interaction of a mode-2 internal solitary wave and a broad, isolated ridge. Physical Review Fluids 2019, 4(9), 094802.
  • Carr M, Stastna M, Davies PA, van de Wal KJ. Shoaling mode-2 internal solitary-like waves. Journal of Fluid Mechanics 2019, 879, 604-632.
  • Carr M, Sutherland P, Haase A, Evers K-U, Fer I, Jensen A, Kalisch H, Berntsen J, Parau E, Thiem O, Davies PA. Laboratory Experiments on Internal Solitary Waves in Ice-Covered Waters. Geophysical Research Letters 2019, 46(21), 12230-12238.
  • Carr M, Franklin J, King SE, Davies PA, Grue J, Dritschel DG. The characteristics of billows generated by internal solitary waves. Journal of Fluid Mechanics 2017, 812, 541-577.
  • Deepwell D, Stastna M, Carr M, Davies PA. Interaction of a mode-2 internal solitary wave with narrow isolated topography. Physics of Fluids 2017, 29, 076601.
  • Cuthbertson AJS, Laanearu J, Carr M, Sommeria J, Viboud S. Blockage of saline intrusions in restricted, two-layer exchange flows across a submerged sill obstruction. Environmental Fluid Mechanics 2017, 18(1), 27-57.
  • Carr M, Davies PA, Hoebers RP. Experiments on the structure and stability of mode-2 internal solitary-like waves propagating on an offset pycnocline. Physics of Fluids 2015, 27(4), 046602.
  • Hill AA, Carr M. The influence of a fluid-porous interface on solar pond stability. Advances in Water Resources 2013.
  • Hill AA, Carr M. Stabilising solar ponds by utilising porous materials. Advances in Water Resources 2013.
  • Carr M, King SE, Dritschel DG. Instability in internal solitary waves with trapped cores. Physics of Fluids 2012, 24(1), 016601.
  • King SE, Carr M, Dritschel DG. The steady state form of large amplitude internal solitary waves. Journal of Fluid Mechanics 2011.
  • Carr M, King SE, Dritschel DG. Numerical simulation of shear-induced instabilities in internal solitary waves. Journal of Fluid Mechanics 2011, 683, 263-288.
  • Thiem O, Carr M, Berntsen J, Davies PA. Numerical simulation of internal solitary wave - induced reverse flow and associated vortices in a shallow, two-layer fluid benthic boundary layer. Ocean Dynamics 2011.
  • Hill AA, Carr M. Sharp global nonlinear stability for a fluid overlying a highly porous material. Proceedings of the Royal Society A 2010.
  • Hill AA, Carr M. Nonlinear stability of the one domain approach to modelling convection in superposed fluid and porous layers. Proceedings of the Royal Society A 2010.
  • Carr M, Stastna M, Davies PA. Internal solitary wave-induced flow over a corrugated bed. Ocean Dynamics 2010, 60(4), 1007-1025.
  • Carr M, Davies PA. Boundary layer flow beneath an internal solitary wave of elevation. Physics of Fluids 2010, 22(2), 026601.
  • Fructus D, Carr M, Grue J, Jensen A, Davies PA. Shear induced breaking of large-amplitude internal solitary waves. Journal of Fluid Mechanics 2009.
  • Carr M, Davies PA, Shivaram P. Experimental evidence of internal solitary wave-induced global instability in shallow water benthic boundary layers. Physics of Fluids 2008, 20(6), 066603.
  • Carr M, Fructus D, Grue J, Jensen A, Davies PA. Convectively induced shear instability in large amplitude internal solitary waves. Physics of Fluids 2008, 20(12), 126601.
  • Dalziel SB, Carr M, Sveen KJ, Davies PA. Simultaneous Synthetic Schlieren and PIV measurements for internal solitary waves. Measurement Science & Technology 2007.
  • Hirata SC, Goyeau B, Gobin D, Carr M, Cotta RM. Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling. International Journal of Heat and Mass Transfer 2007.
  • Carr M, Davies PA. The motion of an internal solitary wave of depression over a fixed bottom boundary in a shallow, two-layer fluid. Physics of Fluids 2006, 18(1), 016601.
  • Carr M. Penetrative convection in a superposed porous-medium-fluid layer via internal heating. Journal of Fluid Mechanics 2004, 509, 305-329.
  • Carr M. Unconditional nonlinear stability for temperature dependent density flow in a porous medium. Mathematical Models & Methods in Applied Science 2003.
  • Carr M, de Putter S. Penetrative convection in a horizontally isotropic porous layer. Continuum Mechanics and Thermodynamics 2003.
  • Carr M, Straughan B. Penetrative convection in a fluid overlying a porous layer. Advances in Water Resources 2003, 26(3), 263-276.
  • Carr M. A model for convection in the evolution of under-ice melt ponds. Continuum Mechanics and Thermodynamics 2003, 15(1), 45-54.

• Book Chapter

  • Davies PA, Carr M. Modelling internal solitary waves in shallow stratified fluids. In: W Rodi & M Uhlmann, ed. Environmental Fluid Mechanics: Memorial Volume in honour of Prof Gerhard H Jirka. 2012.