Staff Profile
Dr Magda Carr
Reader in Applied Mathematics
 Address: Office 4.13 A
School of Mathematics, Statistics and Physics
Herschel Building
Newcastle University
Newcastle upon Tyne
NE1 7RU
UK
Background
Roles & Responsibilities
 Colead of the School's Athena Swan bid (2022)
 Director of Business & Engagement, School of Mathematics, Statistics & Physics (20182021)
Previous Positions
 Senior Lecturer in Applied Mathematics, Newcastle University (20182023)
 Senior Lecturer & Lecturer in Applied Mathematics, School of Mathematics & Statistics, University of St Andrews (200618)
 Honorary Research Fellow, Department of Civil Engineering, University of Dundee (20082021)
 EPSRC Postdoctoral Research Associate, Department of Civil Engineering, University of Dundee (20032006)
Qualifications
 PhD in Applied Mathematics, Durham University (200003)
 BSc (1st class honours) in Mathematics with European Studies, Durham University, (19951999)
Research
Research Interests
 Internal Solitary Waves (mode1, mode2, stability, shoaling, upper and lower boundary layer effects)
 Thermal Convection in PorousFluid Layers
 Geophysical Fluid Dynamics
Expertise includes experimental flow visualisation and measurement (PIV and microconductivity sensors) and numerical modelling (combined contour and pseudospectral).
Recent research lecture
Internal waves and ice interaction:
Funding
 Leverhulme Trust, Internal solitary waves of mode2: theory, models and experiments (20242028)
 AURA DTP, PhD Studentship (20232027)
 EPSRC IAA, Mitigation of anoxic water build up in the Clyde (2019)
 NERC One Planet, PhD studentship (20192022)
 EPSRC IAA, Modelling anoxic water in the Clyde Estuary (2018)
 Energy Technology Partnership. PhD studentship (20172020)
 Hydralab Plus, Internal wave dynamics in the marginal ice zone (2017)
 Hydralab IV, Dynamics of restricted exchange flows (2011)
 Northern Research Partnership. PhD studentship (20092012)
 EPSRC, Breaking characteristics of large amplitude internal solitary waves (20082011)
Publications

Articles
 HartharnEvans SG, Stastna M, Carr M. A new approach to understanding fluid mixing in processstudy models of stratified fluids. Nonlinear Processes in Geophysics 2024, 31(1), 6174.
 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, 185189.
 HartharnEvans 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 twodimensional stratified flow. Journal of Computational Physics: X 2023, 17, 100129.
 HartharnEvans SG, Carr M, Stastna M, Davies PA. Stratification effects on shoaling internal solitary waves. Journal of Fluid Mechanics 2022, 933, A19.
 HartharnEvans SG, Stastna M, Carr M. Dense pulses formed from fissioning internal waves. Environmental Fluid Mechanics 2022, (ePub ahead of Print).
 Deepwell D, Stastna M, Carr M, Davies PA. Wave generation through the interaction of a mode2 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 mode2 internal solitarylike waves. Journal of Fluid Mechanics 2019, 879, 604632.
 Carr M, Sutherland P, Haase A, Evers KU, Fer I, Jensen A, Kalisch H, Berntsen J, Parau E, Thiem O, Davies PA. Laboratory Experiments on Internal Solitary Waves in IceCovered Waters. Geophysical Research Letters 2019, 46(21), 1223012238.
 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, 541577.
 Deepwell D, Stastna M, Carr M, Davies PA. Interaction of a mode2 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, twolayer exchange flows across a submerged sill obstruction. Environmental Fluid Mechanics 2017, 18(1), 2757.
 Carr M, Davies PA, Hoebers RP. Experiments on the structure and stability of mode2 internal solitarylike waves propagating on an offset pycnocline. Physics of Fluids 2015, 27(4), 046602.
 Hill AA, Carr M. The influence of a fluidporous 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 shearinduced instabilities in internal solitary waves. Journal of Fluid Mechanics 2011, 683, 263288.
 Thiem O, Carr M, Berntsen J, Davies PA. Numerical simulation of internal solitary wave  induced reverse flow and associated vortices in a shallow, twolayer 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 waveinduced flow over a corrugated bed. Ocean Dynamics 2010, 60(4), 10071025.
 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 largeamplitude internal solitary waves. Journal of Fluid Mechanics 2009.
 Carr M, Davies PA, Shivaram P. Experimental evidence of internal solitary waveinduced 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, twolayer fluid. Physics of Fluids 2006, 18(1), 016601.
 Carr M. Penetrative convection in a superposed porousmediumfluid layer via internal heating. Journal of Fluid Mechanics 2004, 509, 305329.
 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), 263276.
 Carr M. A model for convection in the evolution of underice melt ponds. Continuum Mechanics and Thermodynamics 2003, 15(1), 4554.

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.