Publications - Mathematical modelling of physical processes with industrial applications

Carr, Elliot, March, Nathan (2018) Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions. Applied Mathematics and Computation, 333, pp.286-303. [eprints.qut.edu.au/118021/]

Carr, Elliot (2018) Characteristic time scales for diffusion processes through layers and across interfaces. Physical Review E, 97 (4), pp.Article number: 042115 1-9. [eprints.qut.edu.au/117548/]

Carr, Elliot, Simpson, Matthew (2018) Rapid calculation of maximum particle lifetime for diffusion in complex geometries. Journal of Chemical Physics, 148 (9), pp.Article number: 094113 1-5. [eprints.qut.edu.au/116633/]

Redman, Adam, Bailleres, Henri, Gilbert, Benoit, Carr, Elliot, Turner, Ian, Perre, Patrick (2018) Finite element analysis of stress-related degrade during drying of Corymbia citriodora and Eucalyptus obliqua. Wood Science and Technology, 52 (1), pp.67-89. [eprints.qut.edu.au/115519/]

Carr, Elliot, Simpson, Matthew (2018) Accurate and efficient calculation of response times for groundwater flow. Journal of Hydrology, 558, pp.470-481. [eprints.qut.edu.au/116127/]

Carr, Elliot, Pontrelli, Giuseppe (2018) Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery. Mathematical Biosciences, 303, pp.1-9. [eprints.qut.edu.au/117678/]

Pethiyagoda, Ravindra, Moroney, Timothy, McCue, Scott (2018) Efficient computation of two-dimensional steady free-surface flows. International Journal for Numerical Methods in Fluids, 86 (9), pp.607-624. [eprints.qut.edu.au/117165/]

McCue, Scott W., Pethiyagoda, Ravindra, Moroney, Timothy J. (2018) Three dimensional linear and nonlinear surface wave patterns. IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. [eprints.qut.edu.au/117169/]

Buttle, Nicholas, Pethiyagoda, Ravindra, Moroney, Timothy, McCue, Scott (2018) Three dimensional free-surface flow over arbitrary bottom topography. Journal of Fluid Mechanics, 846, pp.166-189. [eprints.qut.edu.au/120979/]

Pethiyagoda, Ravindra, Moroney, Timothy, Macfarlane, Gregor, Binns, Jonathan, McCue, Scott (2018) Time-frequency analysis of ship wave patterns in shallow water: Modelling and experiments. Ocean Engineering, 158, pp.123-131. [eprints.qut.edu.au/120978/]

Psaltis, Steven, Turner, Ian, Carr, Elliot, Farrell, Troy, Hopewell, Gary, Bailleres, Henri (2018) Three-dimensional virtual reconstruction of timber billets from rotary peeling. Computers and Electronics in Agriculture, 152, pp.269-280. [eprints.qut.edu.au/115906/]

Conway, Eamon, Farrell, Troy, Psaltis, Steven (2018) Mathematical modeling of ion transport through nanopores. Journal of Physical Chemistry C, 122 (41), pp.23728-23738. [eprints.qut.edu.au/121755/]

Tredenick, Eloise, Farrell, Troy, Forster, Wilhelmina, Psaltis, Steven (2017) Nonlinear Porous Diffusion Modeling of Hydrophilic Ionic Agrochemicals in Astomatous Plant Cuticle Aqueous Pores: A mechanistic approach. Frontiers in Plant Science, 8, pp.Article number: 746 1-14. [eprints.qut.edu.au/106946/]

Psaltis, Steven, Farrell, Troy, Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy, Turner, Ian, Mazumder, Saikat, Bednarz, Tomasz (2017) Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field. Applied Mathematical Modelling, 49, pp.338-353. [eprints.qut.edu.au/107689/]

Simpson, Matthew, Mcinerney, Sean, Carr, Elliot, Cuttle, Leila (2017) Quantifying the efficacy of first aid treatments for burn injuries using mathematical modelling and in vivo porcine experiments. Scientific Reports, 7, pp.Article number: 10925 1-11. [eprints.qut.edu.au/111559/]

Carr, Elliot (2017) Calculating how long it takes for a diffusion process to effectively reach steady state without computing the transient solution. Physical Review E, 96 (1), pp.Article number: 012116 1-10. [eprints.qut.edu.au/109048/]

Carr, Elliot, Turner, Ian, Perre, Patrick (2017) Macroscale modelling of multilayer diffusion: Using volume averaging to correct the boundary conditions. Applied Mathematical Modelling, 47, pp.600-618. [eprints.qut.edu.au/105569/]

Redman, Adam, Bailleres, Henri, Perre, Patrick, Carr, Elliot, Turner, Ian (2017) A relevant and robust vacuum-drying model applied to hardwoods. Wood Science and Technology, 51 (4), pp.701-719. [eprints.qut.edu.au/108080/]

Li, Yang, Vilathgamuwa, Mahinda, Choi, San Shing, Farrell, Troy, Tran, Ngoc Tham, Teague, Joseph (2017) Optimal control of film growth in dual lithium-ion battery energy storage system. In Panda, S K, Borland, J O (Eds.), Proceedings of the 2017 IEEE 12th International Conference on Power Electronics and Drive Systems (PEDS), pp.202-207. [eprints.qut.edu.au/116342/]

Li, Yang, Vilathgamuwa, Mahinda, Farrell, Troy, Choi, San Shing, Tran, Ngoc Tham (2017) An equivalent circuit model of Li-ion battery based on electrochemical principles used in grid-connected energy storage applications. In Chen, Y M (Ed.), Proceedings of the 2017 IEEE 3rd International Future Energy Electronics Conference and ECCE Asia (IFEEC 2017 - ECCE Asia), pp.959-964. [eprints.qut.edu.au/110031/]

Tran, Ngoc Tham, Vilathgamuwa, Mahinda, Li, Yang, Farrell, Troy, Choi, San Shing, Teague, Joe (2017) State of charge estimation of lithium ion batteries using an extended single particle model and sigma-point Kalman filter. In Kouro, S (Ed.), Proceedings of the 2017 IEEE Southern Power Electronics Conference (SPEC), pp.405-410. [eprints.qut.edu.au/117541/]

Pethiyagoda, Ravindra, McCue, Scott, Moroney, Timothy (2017) Spectrograms of ship wakes: Identifying linear and nonlinear wave signals. Journal of Fluid Mechanics, 811, pp.189-209. [eprints.qut.edu.au/105856/]

Massinon, Mathieu, De Cock, Nicolas, Forster, Wilhelmina, Nairn, Justin, McCue, Scott, Zabkiewicz, Jerzy, Lebeau, Frederic (2017) Spray droplet impaction outcomes for different plant species and spray formulations. Crop Protection, 99, pp.65-75. [eprints.qut.edu.au/117158/]

Dorr, Gary, Forster, Wilhelmina, Mayo, Lisa Cheree, McCue, Scott, Kempthorne, Daryl, Hanan, Jim, Turner, Ian, Belward, John, Young, Joe, Zabkiewicz, Jerzy (2016) Spray retention on whole plants: modelling, simulations and experiments. Crop Protection, 88, pp.118-130. [eprints.qut.edu.au/106010/]

Carr, Elliot, Perre, Patrick, Turner, Ian (2016) The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters. Journal of Computational Physics, 327, pp.810-829. [eprints.qut.edu.au/100001/]

Carr, Elliot, Turner, Ian (2016) A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Applied Mathematical Modelling, 40 (15 - 16), pp.7034-7050. [eprints.qut.edu.au/95392/]

Psaltis, Steven, Farrell, Troy, Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy, Turner, Ian, Mazumder, Saikat (2015) Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development. Energy, 88, pp.621-635. [eprints.qut.edu.au/86569/]

Mayo, Lisa Cheree, McCue, Scott, Moroney, Timothy, Forster, Wilhelmina, Kempthorne, Daryl, Belward, John, Turner, Ian (2015) Simulating droplet motion on virtual leaf surfaces. Royal Society Open Science, 2 (5), pp.Article number: 140528 1-17. [eprints.qut.edu.au/84212/]

Kempthorne, Daryl, Turner, Ian, Belward, John, McCue, Scott, Barry, Mark, Young, Joe, Dorr, Gary, Hanan, Jim, Zabkiewicz, Jerzy (2015) Surface reconstruction of wheat leaf morphology from three-dimensional scanned data. Functional Plant Biology, 42 (5), pp.444-451. [eprints.qut.edu.au/75349/]

Dargaville, Steven, Farrell, Troy (2015) A least squares based finite volume method for the Cahn-Hilliard and Cahn-Hilliard-reaction equations. Journal of Computational and Applied Mathematics, 273, pp.225-244. [eprints.qut.edu.au/53398/]

Dorr, Gary, Wang, Shuangshuang, Mayo, Lisa Cheree, McCue, Scott, Forster, Wilhelmina, Hanan, Jim, He, Xiongkui (2015) Impaction of spray droplets on leaves: Influence of formulation and leaf character on shatter, bounce and adhesion. Experiments in Fluids, 56 (7), pp.Article number: 143 1-17. [eprints.qut.edu.au/84788/]

Pethiyagoda, Ravindra, McCue, Scott, Moroney, Timothy (2015) Wake angle for surface gravity waves on a finite depth fluid. Physics of Fluids, 27 (6), pp.Article number: 061701 1-7. [eprints.qut.edu.au/84213/]

Sweatman, Winston, Psaltis, Steven, Dargaville, Steven, Fitt, Alistair, Gibb, Tony, Lawson, Brodie, Marion, Kaye (2014) The mathematical modelling of cheese ripening. The ANZIAM Journal, 55, pp.M1-M38. [eprints.qut.edu.au/82900/]

Dorr, Gary, Kempthorne, Daryl, Mayo, Lisa Cheree, Forster, Wilhelmina, Zabkiewicz, Jerzy, McCue, Scott, Belward, John, Turner, Ian, Hanan, Jim (2014) Towards a model of spray-canopy interactions : interception, shatter, bounce and retention of droplets on horizontal leaves. Ecological Modelling, 290, pp.94-101. [eprints.qut.edu.au/63277/]

Kempthorne, Daryl, Barry, Mark, Zabkiewicz, Jerzy, Young, Joe (2014) Three dimensional digitisation of plant leaves. The ANZIAM Journal, 55, pp.C138-C152. [eprints.qut.edu.au/75085/]

Kempthorne, Daryl, Turner, Ian, Belward, John (2014) A comparison of techniques for the reconstruction of leaf surfaces from scanned data. SIAM Journal of Scientific Computing, 36 (6), pp.B969-B988. [eprints.qut.edu.au/75087/]

Carr, Elliot, Turner, Ian (2014) Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. International Journal for Numerical Methods in Engineering, 98 (3), pp.157-173. [eprints.qut.edu.au/88772/]

Pethiyagoda, Ravindra, McCue, Scott, Moroney, Timothy (2014) What is the apparent angle of a Kelvin ship wave pattern?. Journal of Fluid Mechanics, 758, pp.468-485. [eprints.qut.edu.au/75965/]

Pethiyagoda, Ravindra, McCue, Scott, Moroney, Timothy, Back, Julian (2014) Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns. Journal of Computational Physics, 269, pp.297-313. [eprints.qut.edu.au/69016/]

Carr, Elliot, Turner, Ian, Perre, Patrick (2013) A dual-scale modelling approach for drying hygroscopic porous media. Multiscale Modeling and Simulation, 11 (1), pp.362-384. [eprints.qut.edu.au/54157/]

Carr, Elliot, Turner, Ian, Perre, Patrick (2013) A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media : application to wood drying. Journal of Computational Physics, 233 (1), pp.66-82. [eprints.qut.edu.au/54158/]

Dargaville, Steven, Farrell, Troy (2013) The persistence of phase-separation in LiFePO4 with two-dimensional Li+ transport : the Cahn-Hilliard-reaction equation and the role of defects. Electrochimica Acta, 94, pp.143-158. [eprints.qut.edu.au/53555/]

Kempthorne, Daryl, Turner, Ian, Belward, John (2012) Computational strategies for surface fitting using thin plate spline finite element methods. The ANZIAM Journal, 54, pp.C56-C71. [eprints.qut.edu.au/75082/]

Carr, Elliot, Moroney, Timothy, Turner, Ian (2012) Performance assessment of exponential Rosenbrock method for large systems of ODE. The ANZIAM Journal, 54, pp.C102-C118. [eprints.qut.edu.au/54569/]

Psaltis, Steven, Farrell, Troy (2011) Comparing charge transport predictions for a ternary electrolyte using the Maxwell–Stefan and Nernst–Planck equations. Journal of the Electrochemical Society, 158 (1), pp.A33-A42. [eprints.qut.edu.au/38835/]

Carr, Elliot, Turner, Ian, Ilic, Milos (2011) Krylov subspace approximations for the exponential Euler method: Error estimates and the harmonic Ritz approximant. In McLean, W, Roberts, T (Eds.), The ANZIAM Journal, Volume 52, Electronic Supplement: Proceedings of the 15th Biennial Computational Techniques and Applications Conference, pp.C612-C627. [eprints.qut.edu.au/44070/]

Carr, Elliot, Turner, Ian, Perre, Patrick (2011) A new control-volume finite-element scheme for heterogeneous porous media : application to the drying of softwood. Chemical Engineering and Technology, 34 (7), pp.1143-1150. [eprints.qut.edu.au/44063/]

Carr, Elliot, Moroney, Timothy, Turner, Ian (2011) Efficient simulation of unsaturated flow using exponential time integration. Applied Mathematics and Computation, 217 (14), pp.6587-6596. [eprints.qut.edu.au/40705/]

Oqielat, Moa'Ath, Turner, Ian, Belward, John, McCue, Scott (2011) Modelling water droplet movement on a leaf surface. Mathematics and Computers in Simulation, 81 (8), pp.1553-1571. [eprints.qut.edu.au/33173/]

Carr, Elliot, Turner, Ian, Perre, Patrick (2010) A mass conservative mesoscopic drying model. In Mujumdar, A S (Ed.), Proceedings of the 17th International Drying Symposium, pp.285-292. [eprints.qut.edu.au/80668/]

Farrell, Troy, Psaltis, Steven (2010) A comparison of the Nernst-Planck and Maxwell-Stefan approaches to modelling multicomponent charge transport in electrolyte solutions. In Badescu, V, Paulescu, M (Eds.), Physics of Nanostructured Solar Cells, pp.327-353. [eprints.qut.edu.au/21257/]