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Dr. Denis  Flynn

Title:

Lecturer in Mathematics

School/ Department:

School of Science & Computing - Dept Computing & Mathematics

Telephone:

+353 0 051 302068

Room Name/ Num:

Room 327 1969 - Main Building

Campus:

Main Campus

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My Biography

Education

  • PhD, Applied Mathematics and Civil Engineering, University College Cork, 2010.
  • MSc, Applied Mathematics, University College Cork, 2004.
  • HDip in Applied Science: Modelling & Numerical Computing, Applied Mathematics, University College Cork,2003.
  • BSc (Hons) Physics, University College Cork,2002.

Research

My main area of research is in Systems with Hysteresis, in particular the development of mathematical models that account for hysteresis in physical problems, such as in porous media.

I have been funded by the following projects to enable to research in this area:

SFI Grant 05/RFP/ENG0062, awarded to Prof. J.P. O’Kane to support my PhD: €120,300. “The Prediction and Identification problems for hysteretic multiphase flows through porous media - an exploration of methods using a simple differential equation with hysteresis (Preisach operator).”

I developed numerical solution schemes to solve a difficult class of ODEs with rate-independent hysteresis to model the flow of water through multiphase porous media.
Using these developed solution schemes, I solved identification type inverse problems, i.e. by taking input and output data which exhibited hysteresis; I was able to estimate the model parameters using global optimisation techniques.
 

IRCSET Postdoctoral Scheme: Numerical and Analytical Optimisation of ODEs with Preisach Hysteresis. Principal Investigator, UCC, 2008-2010: €83,100.

This project focused on optimising the numerical solution of the hysteretic ODEs that I developed during my PhD, as these equations were time consuming to solve numerically.
 

NAIRTL Project: “Development and implementation of two project based courses “Mathematical Modelling for Biologists; a collaborative project between the Department of Zoology, Ecology and Plant Science, and the Department of Applied Mathematics”

I worked with colleagues to design new courses and materials for the research led teaching of mathematics to the students of biological sciences at both undergraduate and postgraduate level.

 

WIT PhD Scholarship Programme 2015: "Modelling the Flow of Fluids in Three Dimensional Porous Media with Hysteresis Operators". €48,000.

The focus of this project is on expanding the understanding and building of new mathematical models of rate independent hysteresis in porous media. In particular this project will look at predicting the preferential flow of liquids in porous media in both two and three dimensions with these models. 

Teaching

Waterford Institute of Technology, Waterford, Ireland

 

Lecturer, 2016-present

  • Supervised Final Year Project Students
  • Lectured in Linear Algebra and ODEs, Network Theory, Statistics for Scientists, Discrete Mathematics, Applied Calculus, and Maths Transform Methods. 

Assistant Lecturer, 2014-2016

  • Lectured in Linear Algebra and ODEs, Network Theory, Games Development I, Mathematics for Building Services Yr 3,  ICT for Forestry, and Maths Transform Methods. .

 

University College Cork, Cork, Ireland

Grinds Tutor for students for UCC and CIT, 2012-2013:

  • Tutored in Introduction to Abstract Algebra, Technical Mathematics 2, Technical Mathematics 201, Engineering Mechanics with Transform Methods, Applied Thermodynamics 3, Thermofluids, Biomechanics, Mechanics 3 and Mechanics 4.

Research Development Manager, 2011-2013:

  • Lectured in Information Modelling and Retrieval, IT for eBusiness in AEC, and Minor Theses for taught MSc Programme.

Assistant Lecturer PT, 2005-2011:

  • Lectured in Introductory Mathematics and Applied Mathematics, Introduction to Mechancis, Mechanics II, Thermodynamics, Chaos and Nonlinear Worlds I, Chaos and Nonlinear Worlds II, Computer Modelling and Numerical Techniques, Mathematical Experimentation and Chaos, Topics in Applied Mathematics, Final Year Applied Mathematics Project, Numerical Analysis with Mathematica, Mathematical Modelling for Biological and Environmental Sciences, and Minor Dissertation.

Publications and Talks

PUBLICATIONS

Book Chapters

  1. D. Flynn, Fitting soil-moisture hysteretic curves with two one-parameter Preisach models, 197-208 (2005) Akadmiai Kiad Budapest, Ivanyi, A. (editor).
  2. D. Flynn, H. McNamara, J. P. O'Kane and A. Pokrovskii, Application of the Preisach model to soil-moisture hysteresis, in The Science of Hysteresis, vol. 3, 689-74. (Academic Press: 2006).

 

Peer reviewed journals and conference proceedings

  1. D. Flynn. A Survey of Hysteresis Models Of Mammalian Lungs. Accepted for publication in Rendiconti del Seminario Matematico, 2015.      
  2. B. Cahill, K. Menzel, and D. Flynn. BIM as a Centre Piece for Optimised Building Operation. In Ework and Ebusiness in Architecture, Engineering and Construction. 549-55: CRC Press, 2012.
  3.  S. M. O’Regan, D. Flynn, T. C. Kelly, M. J. S. O’Callaghan, A. V. Pokrovskii, D. Rachinskii. The response of the woodpigeon (Columba palumbus) to relaxation of intraspecific competition: A hybrid modelling approach. Ecological Modelling 224 (2012) 54-64.
  4. Minogue, K.; McNamara, H. and Flynn, D., Hysteresis in Cognitive Processes, IEEE Transactions on Magnetics, vol. 45, issue 11, 5228-5230 (2009),
  5. B. Appelbe, D. Flynn, H. McNamara, P. O'Kane, A. Pokrovskii, A. Pimenov, D. Rachinskii and A. Zhezherun, Rate-Independent Hysteresis in Terrestrial Hydrology: A vegetated soil model with Preisach Hysteresis, IEEE CSM, Vol 29. Issue 1, 44-69, (2008).
  6. O'Kane J.P. and D. Flynn.  Thresholds, switches and hysteresis in hydrology from the pedon to the catchment scale: a non-linear systems theory, Hydrology and Earth System Sciences (HESS), Vol 11. Issue: 1. 443-459 (2007).
  7. D. Flynn, A. Zhezherun, A. Pokrovskii and J.P. O'Kane, Modeling discontinuous flow through porous media using ODEs with Preisach operator, Physica B: Condensed Matter. Volume 403, Issues 2-3, Proceedings of the Sixth International Symposium on Hysteresis Modeling and Micromagnetics. 440-442 (2008).
  8. A. Zhezherun and D. Flynn, ODEs with Preisach operator under the derivative and with discontinuous in time right hand side hand side, J. Phys.: Conf. Series, 55. 232-242, (2006).
  9. D. Flynn, J. P. O'Kane, A. Zhezherun, Numerical solution of ODEs involving the derivative of a Preisach operator and with discontinuous RHS, J. Phys.: Conf. Series, 55. 63-73, (2006).
  10. D. Flynn and O. Rasskazov, On the integration of an ODE involving the derivative of a Preisach nonlinearity J. Phys.: Conf. Series 22, ed M P Mortell, R E O'Malley, A Pokrovskii and V Sobolev. 43-55. (2005).

 

 

Theses

  1. D. Flynn, Application of the Preisach Model in Soil-Moisture Hysteresis, Master's thesis, University College Cork, Cork, Ireland, 2004.
  2. D. Flynn, Modelling the flow of water through multiphase porous media with the Preisach model, PhD thesis, University College Cork, Cork, Ireland, 2008

 

Non Peer reviewed

  1. D. Flynn, H. McNamara, P. O’Kane and A. Pokrovskii, Application of the Preisach model in soil-moisture hysteresis 2004, BCRI preprint, http://www.bcri.ucc.ie/BCRI_15.pdf. 60 pages.
  2. M. Devereux, N. Fitzgerald, D. Flynn, J.P. Gleeson, A. Hackett, H. Mahdi, S. McCarthy, S. McKenzie, S. Melnik, M. O’Brien, J.A. Ward, R.E. Wilson,  Improving Voice Mixing Using the G.729A Codec, Proceedings of the Seventy-Fifth European Study Group with Industry.
  3.  Tuoi Vo T. N., Mark McGuinness, Stephen O’Brien, Alan Hegarty, David Hawe, Kevin O’Sullivan, Paul Dellar, Denis Flynn, N. N. Misra, Jakub Nowotarski, Jakub Tomczyk, Peter Fennell, Kevin Hayes,  Analog Devices - Heart rate monitoring, Proceedings of the Seventy-Fifth European Study Group with Industry.

 

Conference and seminar presentations

  1. D.Flynn, Modelling hysteresis in the Mammalian Lung. Spring School on Rate-independent evolutions and hysteresis modelling, Milano, May 27-31, 2013 (15 mins)
  2. D.Flynn. From smart buildings to smart cities. R[email protected]: Fuelling the Green Economy. October 18th, 13.00-17.30. Devere Hall, UCC. (20 mins)
  3. D. Flynn and M. Donnegan, Respiratory hysteresis. Nonlinear Dynamics Conference in Memory of Alexei Pokrovskii. University College Cork, Ireland September 5-9, 2011 (20 mins).
  4. D.Flynn, A Numerically efficient Preisach model based on the Brooks-Corey equation. 5th International Workshop on MULTI-RATE PROCESSES & HYSTERESIS (MURPHYS 2010), Pécs, Hungary, 31 May – 3 June 2010. (20 mins)
  5. D. Flynn and J.P. O’Kane, A simple Hysteretic Rainfall-runoff model. 7th International Symposium of Hysteresis Modelling and Micromagnetics Gaithersburg, MD. 11-14 May 2009. Oral (20 Minutes).
  6. K. Minogue, H. McNamara and D. Flynn, Hysteresis in cognitive processes: cognitive bias and decision making under ambiguous stimuli.  7th International Symposium of Hysteresis Modelling and Micromagnetics Gaithersburg, MD. 11-14 May 2009. Oral (20 Minutes).
  7. D. Flynn and J.P. O’Kane, An investigation of the effect of hysteresis in a simple rainfall-runoff model. European Geosciences Union, General Assembly 2009, Vienna, Austria, 19-24 April 2009. Poster.
  8. D. Flynn, Modelling the flow of water with hysteretic FEST model . Seminar at the mathematical institute at the Silesian University in Opava. April 2008 (1 hour)
  9. A. Zhezherun, D. Flynn and J.P. O’Kane, Improved model of discontinuous flow through porous media using ODEs with Preisach operator. EGU General Assembly 2008. April 2008 (15 mins)
  10. D.P. Flynn., J.P. O’Kane and A.V. Pokrovskii, The prediction and identification problems for hysteretic multiphase flow through porous media EGU General Assembly, April 2008. (15 mins)
  11. D. Flynn, Modelling the Flow of water in a slab of soil in the Feale Catchment with a Hysteretic FEST model MURPHYS 2008, Cork, Ireland. (20 mins).
  12. D. Flynn, Hysteresis in hydrology: Numerical solution of ODEs and PDEs with hystereisis. Invited speaker at Seminar at the mathematical institute at the Silesian University in Opava, March 2007 (1 hour)
  13. D. Flynn and A. Zhezherun, (HMM2007) Naples, Italy 4-6 June, 2007. Poster
  14. D. Flynn, On the Integration of an ODE involving the derivative of a Preisach nonlinearity. MURPHYS 2006, Cork, Ireland. (20 mins).
  15. J.P. O'Kane and D. Flynn, "Thresholds, switches and hysteresis in hydrology from the pedon to the catchment scale - a non-linear systems theory". (solicited). April 2006, EGU, Vienna, Austria.
  16. O. Rasskazov and D. Flynn, Modelling soil-moisture hysteresis (1 hour) Seminar Series, WIT, Waterford, Ireland, March 1, 2006 
  17. J.P. O’Kane and D. Flynn, Hysteresis in Hydrology, HMM-2005, 30. May - 1. June, 2005, Budapest, Hungary, (20 mins)
  18. D. Flynn, A review of Hysteresis in soil-physics, International workshop on Hysteresis & Multi-scale Asymptotics, UCC, Cork, March 17-21,2004. (10 mins)