# Staff Profile

## Dr Magda Carr

### Senior Lecturer in Applied Mathematics

- Email: magda.carr@ncl.ac.uk
- Telephone: +44(0)191 2084818
- Address: Office 4.13 A

School of Mathematics, Statistics and Physics

Herschel Building

Newcastle University

Newcastle upon Tyne

NE1 7RU

UK

Background

#### Roles & Responsibilities

- Director of Business & Engagement, School of Mathematics, Statistics & Physics (2018-2021)

#### Previous Positions

- 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

**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).

Watch a recent lecture on my research here: https://www.newton.ac.uk/seminar/20210625160017001/

**Funding**

- 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)

Publications

- Hartharn-Evans SG, Carr M, Stastna M, Davies PA. Stratification effects on shoaling internal solitary waves.
*Journal of Fluid Mechanics*2022,**933**, A19. - 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, Stastna M, Davies PA, van de Wal KJ. Shoaling mode-2 internal solitary-like waves.
*Journal of Fluid Mechanics*2019,**879**, 604-632. - 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. - 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. - 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. - 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. - 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.
**Stabilising solar ponds by utilising porous materials**.*Advances in Water Resources*2013. - Hill AA, Carr M.
**The influence of a fluid-porous interface on solar pond stability**.*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. - 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. - 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. - Carr M, King SE, Dritschel DG. Numerical simulation of shear-induced instabilities in internal solitary waves.
*Journal of Fluid Mechanics*2011,**683**, 263-288. - King SE, Carr M, Dritschel DG.
**The steady state form of large amplitude internal solitary waves**.*Journal of Fluid Mechanics*2011. - Carr M, Davies PA. Boundary layer flow beneath an internal solitary wave of elevation.
*Physics of Fluids*2010,**22**(2), 026601. - Carr M, Stastna M, Davies PA. Internal solitary wave-induced flow over a corrugated bed.
*Ocean Dynamics*2010,**60**(4), 1007-1025. - 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. - Hill AA, Carr M.
**Sharp global nonlinear stability for a fluid overlying a highly porous material**.*Proceedings of the Royal Society A*2010. - 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, 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. - 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. - 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. - Dalziel SB, Carr M, Sveen KJ, Davies PA.
**Simultaneous Synthetic Schlieren and PIV measurements for internal solitary waves**.*Measurement Science & Technology*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. A model for convection in the evolution of under-ice melt ponds.
*Continuum Mechanics and Thermodynamics*2003,**15**(1), 45-54. - Carr M, Straughan B. Penetrative convection in a fluid overlying a porous layer.
*Advances in Water Resources*2003,**26**(3), 263-276. - Carr M, de Putter S.
**Penetrative convection in a horizontally isotropic porous layer**.*Continuum Mechanics and Thermodynamics*2003. - Carr M.
**Unconditional nonlinear stability for temperature dependent density flow in a porous medium**.*Mathematical Models & Methods in Applied Science*2003.