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Dr. Sarah Mitchell

Biography

Sarah Mitchell is a Senior Lecturer and Head of the Department of Mathematics and Statistics at the University of Limerick (UL). She obtained her undergraduate degree in 1999 (MMath in Mathematics) and her PhD in 2003, both from the University of Bath, UK. Afterwards she took up two postdoc positions in Canada (University of British Columbia, 2003-2006) and South Africa (University of Cape Town, 2006-2008), before starting a lectureship position in Applied Mathematics at UL in January 2008. In September 2013 she became Deputy Head of Department and then took over as Head in September 2016.Her main research interests are in numerical and mathematical modelling of moving boundary problems relevant to solidification (such as casting of metals) or melting (such as glaciers) and modelling drug diffusion in glassy polymers.

Research Interests

Mathematical Modelling, Numerical Analysis

Publications

Peer Reviewed Journals

2016

On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
Mitchell, SL,Vynnycky, M
(2016) On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
In Journal Of Computational And Applied Mathematics; pp. 259-274
DOI: 10.1016/j.cam.2015.12.021

2015

A mathematical model for nanoparticle melting with density change
Font, F,Myers, TG,Mitchell, SL
(2015) A mathematical model for nanoparticle melting with density change
In Microfluidics And Nanofluidics; pp. 233-243
DOI: 10.1007/s10404-014-1423-x

2015

The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M
(2015) The oxygen diffusion problem: Analysis and numerical solution
In Applied Mathematical Modelling; pp. 2763-2776
DOI: 10.1016/j.apm.2014.10.068

2015

Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
(2015) Mould-taper asymptotics and air gap formation in continuous casting
In Applied Mathematics And Computation; pp. 1122-1139
DOI: 10.1016/j.amc.2015.07.011

2015

Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
Mitchell, SL
(2015) Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
In Journal Of Computational And Applied Mathematics; pp. 58-73
DOI: 10.1016/j.cam.2014.11.051

2015

On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL
(2015) On the numerical solution of a Stefan problem with finite extinction time
In Journal Of Computational And Applied Mathematics; pp. 98-109
DOI: 10.1016/j.cam.2014.08.023

2015

Glacial melt under a porous debris layer
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD
(2015) Glacial melt under a porous debris layer
In Journal Of Glaciology; pp. 825-836
DOI: 10.3189/2015Jo14J235

2014

An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
Mitchell, SL
(2014) An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
In Applied Mathematical Modelling; pp. 4396-4408
DOI: 10.1016/j.apm.2014.02.021

2014

ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER
Mitchell, SL,O'Brien, SBG
(2014) ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER
In Siam Journal On Applied Mathematics; pp. 697-723
DOI: 10.1137/120899200

2014

Analysis and simplification of a mathematical model for high-pressure food processes
Smith, NAS,Mitchell, SL,Ramos, AM
(2014) Analysis and simplification of a mathematical model for high-pressure food processes
In Applied Mathematics And Computation; pp. 20-37
DOI: 10.1016/j.amc.2013.10.030

2014

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M
(2014) On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
In Journal Of Computational And Applied Mathematics; pp. 49-64
DOI: 10.1016/j.cam.2014.01.003

2014

Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC
(2014) Reaction front formation in contaminant plumes
In Journal Of Contaminant Hydrology; pp. 12-21
DOI: 10.1016/j.jconhyd.2014.10.006

2013

One-dimensional solidification of supercooled melts
Font, F,Mitchell, SL,Myers, TG
(2013) One-dimensional solidification of supercooled melts
In International Journal Of Heat And Mass Transfer; pp. 411-421
DOI: 10.1016/j.ijheatmasstransfer.2013.02.070

2013

ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
Vynnycky, M,Mitchell, SL
(2013) ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
In Numerical Heat Transfer Part B-Fundamentals; pp. 275-292
DOI: 10.1080/10407790.2013.797312

2012

Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
Mitchell, SL,O'Brien, SBG
(2012) Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
In Applied Mathematics And Computation; pp. 376-388
DOI: 10.1016/j.amc.2012.06.026

2012

Energy conservation in the one-phase supercooled Stefan problem
Myers, TG,Mitchell, SL,Font, F
(2012) Energy conservation in the one-phase supercooled Stefan problem
In International Communications In Heat And Mass Transfer; pp. 1522-1525
DOI: 10.1016/j.icheatmasstransfer.2012.09.005

2012

Applying the combined integral method to one-dimensional ablation
Mitchell, SL
(2012) Applying the combined integral method to one-dimensional ablation
In Applied Mathematical Modelling; pp. 127-138
DOI: 10.1016/j.apm.2011.05.032

2012

An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M
(2012) An accurate finite-difference method for ablation-type Stefan problems
In Journal Of Computational And Applied Mathematics; pp. 4181-4192
DOI: 10.1016/j.cam.2012.05.011

2011

AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
Mitchell, SL
(2011) AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
In Numerical Heat Transfer Part B-Fundamentals; pp. 34-56
DOI: 10.1080/10407790.2011.588133

2011

Application of the combined integral method to Stefan problems
Myers, TG; Mitchell, SL
(2011) Application of the combined integral method to Stefan problems
In Applied Mathematical Modelling; pp. 4281-4294
DOI: 10.1016/j.apm.2011.02.049

2011

An accurate numerical solution for the transient heating of an evaporating spherical droplet
Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS
(2011) An accurate numerical solution for the transient heating of an evaporating spherical droplet
In Applied Mathematics And Computation; pp. 9219-9233
DOI: 10.1016/j.amc.2011.03.161

2010

Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
Mitchell, SL; Myers, TG
(2010) Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
In Siam Review; pp. 57-86
DOI: 10.1137/080733036

2010

Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
Mitchell, SL; Myers, TG
(2010) Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
In International Journal Of Heat And Mass Transfer; pp. 3540-3551
DOI: 10.1016/j.ijheatmasstransfer.2010.04.015

2010

Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL
(2010) Evaporative cooling and the Mpemba effect
In Heat And Mass Transfer; pp. 881-890
DOI: 10.1007/s00231-010-0637-z

2009

Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
Mitchell, SL; Vynnycky, M
(2009) Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
In Applied Mathematics And Computation; pp. 1609-1621
DOI: 10.1016/j.amc.2009.07.054

2009

APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
Myers, TG; Mitchell, SL
(2009) APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
In Thermal Science; pp. 113-119
DOI: 10.2298/TSCI0902113M

2008

Unsteady contact melting of a rectangular cross-section phase change material
Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G
(2008) Unsteady contact melting of a rectangular cross-section phase change material
In Physics Of Fluids;

2008

Approximate solution methods for one-dimensional solidification from an incoming fluid
Mitchell, SL; Myers, TG
(2008) Approximate solution methods for one-dimensional solidification from an incoming fluid
In Applied Mathematics And Computation; pp. 311-326
DOI: 10.1016/j.amc.2008.02.031

2008

Heat balance integral method for one-dimensional finite ablation
Mitchell, SL; Myers, TG
(2008) Heat balance integral method for one-dimensional finite ablation
In Journal Of Thermophysics And Heat Transfer; pp. 508-514
DOI: 10.2514/1.31755

2008

Unsteady contact melting of a rectangular cross-section material on a flat plate
Myers, TG; Mitchell, SL; Muchatibaya, G
(2008) Unsteady contact melting of a rectangular cross-section material on a flat plate
In Physics Of Fluids;
DOI: 10.1063/1.2990751

2007

An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
Mitchell, SL , Kuske, R , Peirce, AP
(2007) An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
In Journal Of Applied Mechanics; pp. 365-372

2007

A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY
(2007) A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
In International Journal Of Heat And Mass Transfer; pp. 5307-5315

2007

An asymptotic framework for finite hydraulic fractures including leak-off
Mitchell, SL; Kuske, R; Peirce, AP
(2007) An asymptotic framework for finite hydraulic fractures including leak-off
In S.I.A.M. Journal Of Applied Mathematics; pp. 364-386

2006

Application of Box Schemes to Groundwater Flow Problems
Mitchell, SL; Morton, KW; Spence, A
(2006) Application of Box Schemes to Groundwater Flow Problems
In Siam Journal On Scientific Computing; pp. 1202-1225

Conference Publications

2009

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Mitchell, SL; Myers, TG
(2009) NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
pp. 1450-1452

2009

AIP Conference Proceedings
Mitchell S.L., Myers T.G.
(2009) AIP Conference Proceedings
pp. 1450-1452
DOI: 10.1063/1.3241367

2008

ECMI 2008
Mitchell, S.L. and Myers, T.G.
(2008) ECMI 2008

2008

Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P.
(2008) Hydraulic Fracturing Summit VIII

2007

SANUM, 2007
Mitchell, S.L. and Myers, T.G.
(2007) SANUM, 2007

2006

SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P.
(2006) SIAM Annual Meeting

2005

Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P.
(2005) Hydraulic Fracturing Summit V

Other Publications

2011

Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)
Vynnycky, M; Mitchell, SL; Maeno, N
(2011) Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)
In Heat And Mass Transfer; pp. 863-863
DOI: 10.1007/s00231-010-0759-3

2007

The laminar-turbulent transition of yield stress fluids in large pipes
Mitchell, SL; Myers, TG
(2007) The laminar-turbulent transition of yield stress fluids in large pipes
(Ed.)