Sarah Mitchell


 
researcher

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

Peer Reviewed Journals

  Year Publication
2006 'Application of Box Schemes to Groundwater Flow Problems'
Mitchell, SL; Morton, KW; Spence, A (2006) 'Application of Box Schemes to Groundwater Flow Problems'. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 4 :1202-1225 [Details]
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'. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 50 (25-26):5307-5315 [Details]
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'. JOURNAL OF APPLIED MECHANICS, 74 :365-372 [Details]
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'. S.I.A.M. JOURNAL OF APPLIED MATHEMATICS, 67 (2):364-386 [Details]
2008 'Heat balance integral method for one-dimensional finite ablation'
Mitchell, SL; Myers, TG (2008) 'Heat balance integral method for one-dimensional finite ablation'. JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 22 (3):508-514 [DOI] [Details]
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'. PHYSICS OF FLUIDS, 20 (10) [Details]
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'. APPLIED MATHEMATICS AND COMPUTATION, 202 (1):311-326 [DOI] [Details]
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'. PHYSICS OF FLUIDS, 20 (10) [DOI] [Details]
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'. THERMAL SCIENCE, 13 (2):113-119 [DOI] [Details]
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'. APPLIED MATHEMATICS AND COMPUTATION, 215 (4):1609-1621 [DOI] [Details]
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'. SIAM REVIEW, 52 (1):57-86 [DOI] [Details]
2010 'Evaporative cooling and the Mpemba effect'
Vynnycky, M; Mitchell, SL (2010) 'Evaporative cooling and the Mpemba effect'. HEAT AND MASS TRANSFER, 46 (8-9):881-890 [DOI] [Details]
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'. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 53 (17-18):3540-3551 [DOI] [Details]
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'. APPLIED MATHEMATICS AND COMPUTATION, 217 (22):9219-9233 [DOI] [Details]
2011 'Application of the combined integral method to Stefan problems'
Myers, TG; Mitchell, SL (2011) 'Application of the combined integral method to Stefan problems'. APPLIED MATHEMATICAL MODELLING, 35 (9):4281-4294 [DOI] [Details]
2011 'AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION'
Mitchell, SL (2011) 'AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION'. Numerical Heat Transfer Part B-Fundamentals, 60 :34-56 [DOI] [Details]
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'. International Communications In Heat And Mass Transfer, 39 :1522-1525 [DOI] [Details]
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'. Journal Of Computational And Applied Mathematics, 236 :4181-4192 [DOI] [Details]
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'. Applied Mathematics And Computation, :376-388 [DOI] [Details]
2012 'Applying the combined integral method to one-dimensional ablation'
Mitchell, SL (2012) 'Applying the combined integral method to one-dimensional ablation'. Applied Mathematical Modelling, 36 :127-138 [DOI] [Details]
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'. Numerical Heat Transfer Part B-Fundamentals, 64 :275-292 [DOI] [Details]
2013 'One-dimensional solidification of supercooled melts'
Font, F,Mitchell, SL,Myers, TG (2013) 'One-dimensional solidification of supercooled melts'. International Journal Of Heat And Mass Transfer, 62 :411-421 [DOI] [Details]
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'. Applied Mathematics And Computation, 226 :20-37 [DOI] [Details]
2014 'Reaction front formation in contaminant plumes'
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC (2014) 'Reaction front formation in contaminant plumes'. Journal Of Contaminant Hydrology, 171 :12-21 [DOI] [Details]
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'. Journal Of Computational And Applied Mathematics, 264 :49-64 [DOI] [Details]
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'. Siam Journal On Applied Mathematics, 74 :697-723 [DOI] [Details]
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'. Applied Mathematical Modelling, 38 :4396-4408 [DOI] [Details]
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'. Journal Of Glaciology, 61 :825-836 [DOI] [Details]
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'. Applied Mathematics And Computation, 268 :1122-1139 [DOI] [Details]
2015 'The oxygen diffusion problem: Analysis and numerical solution'
Mitchell, SL,Vynnycky, M (2015) 'The oxygen diffusion problem: Analysis and numerical solution'. Applied Mathematical Modelling, 39 :2763-2776 [DOI] [Details]
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'. Journal Of Computational And Applied Mathematics, 281 :58-73 [DOI] [Details]
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'. Journal Of Computational And Applied Mathematics, 276 :98-109 [DOI] [Details]
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'. Microfluidics And Nanofluidics, 18 :233-243 [DOI] [Details]
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'. Journal Of Computational And Applied Mathematics, 300 :259-274 [DOI] [Details]

Conference Publications

  Year Publication
2005 Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P. (2005) An asymptotic analysis of a finger-like fluid-driven fracture Hydraulic Fracturing Summit V , 25-MAY-05 - 28-MAY-05 [Details]
2006 SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P. (2006) An asymptotic framework for finite hydraulic fractures driven by multiple physical processes SIAM Annual Meeting , 10-JUL-06 - 14-JUL-06 [Details]
2007 SANUM, 2007
Mitchell, S.L. and Myers, T.G. (2007) A cubic heat balance integral method for one-dimensional melting of a finite thickness layer SANUM, 2007 , 02-APR-07 - 04-APR-07 [Details]
2008 Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P. (2008) An asymptotic analysis of a finger-like fluid-driven fracture Hydraulic Fracturing Summit VIII , 22-MAY-08 - 26-MAY-08 [Details]
2008 ECMI 2008
Mitchell, S.L. and Myers, T.G. (2008) Approximate solution methods for one-dimensional solidification from an incoming fluid ECMI 2008 , 30-JUN-08 - 04-JUL-08 [Details]
2009 NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Mitchell, SL; Myers, TG (2009) Applying the Combined Integral Method to One-Dimensional Ablation NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 , pp.1450-1452 [Details]
2009 AIP Conference Proceedings
Mitchell S.L., Myers T.G. (2009) Applying the combined integral method to one-dimensional ablation AIP Conference Proceedings , pp.1450-1452 [DOI] [Details]

Conference Presentation

  Year Publication
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. Conference Presentation [Details]

Correction

  Year Publication
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). Correction [DOI] [Details]