Publications

1. Articles in refereed publications:

• Published or accepted: 

2010

R.S. Marinova, R.J. Spiteri, and E. Essien, Time Stepping for Vectorial Splitting, Journal of Computational and Applied Mathematics, 235(2), pp. 460-469.

T.T. Marinov and R.S. Marinova, Inverse Problem for Coefficient Identification in Euler-Bernoulli Equation by Linear Spline Approximation, Journal of Computational and Applied Mathematics (in press).

T. Arsenault, T. Smith, and P.H. Muir, Superconvergent Interpolants for Efficient Spatial Error Estimation in 1D PDE Collocation Solvers, Canadian Applied Mathematics Quarterly (in press).

M. Beck, Z. Pan, and B. Wetton, Stability of Travelling Wave Solutions for Coupled Surface and Grain Boundary Motion, Physica D, 239(17), pp. 1730-1740.

A. Lam, B. Wetton, D. Wilkinson, One-dimensional model for a direct methanol fuel cell with a 3D anode structure, Journal of The Electrochemical Society (in press).

2009

H. Sellers, R.J. Spiteri, and M.P. Perrone, CO2 + CH4 Chemistry over Pd: Results of Kinetic Simulations Relevant to Environmental Issues, Journal of Physical Chemistry C, 113(6), pp. 2340-2346.

C.I. Christov, R.S. Marinova, and T.T. Marinov, Does the stationary Viscous Flow around a Circular Cylinder Exist for Large Reynolds Numbers? A Numerical Solution via Variational Imbedding, Journal of Computational and Applied Mathematics, 226(2), pp. 205-217.

C.I. Christov, T.T. Marinov, and R.S. Marinova, Identification of solitary-wave solutions as an inverse problem: Application to shapes with oscillatory tails, Mathematics and Computers in Simulation, Special issue on Nonlinear Waves: Computation and Theory, 80(1), pp. 56-65.

J. Hu, P.C. Sui, S. Kumar, and N. Djilali, Modelling and Simulations of Carbon Corrosion During Operation of a Polymer Electrolyte Membrane Fuel Cell, Electrochimica Acta, 54, pp. 5583-5592.

M. Secanell, R. Songprakorp, N. Djilali, and A. Suleman, Optimization of a Proton Exchange Membrane Fuel Cell Electrode Assembly, Structural and Multidisciplinary Optimization, In Press.

X. Zhu, Q. Liao, P.C. Sui, and N. Djilali, Numerical investigation of water droplet dynamics in a low-temperature fuel cell microchannel: effect of channel geometry, J. Power Sources, In Press.

2008

R. Wang, H. Feng, and R.J. Spiteri, Observations on the fifth-order WENO method with non-uniform meshes, Applied Mathematics and Computation, 196(1) pp. 433-447.

R.J. Spiteri and R.C. Dean, On the performance of implicit-explicit Runge-Kutta methods in models of cardiac electrical activity, IEEE Transactions on Biomedical Engineering, 55(5) pp. 1488-1495.

R.J. Spiteri and T.P. Ter, pythNon: A PSE for the numerical solution of nonlinear algebraic equations, Journal of Numerical Analysis, Industrial and Applied Mathematics, 3(1-2) pp. 123-137.

R. Wang, P. Keast, and P.H. Muir, /Algorithm 874: BACOLR - Spatial and Temporal Error Control Software for PDEs based on High Order Adaptive Collocation, ACM Transactions on Mathematical Software, 34(3), article 15.

K. Promislow, P. Chang, H. Haas, and B.T.R. Wetton, Two-Phase Unit Cell Model for Slow Transients in Polymer Electrolyte Membrane Fuel Cells, Journal of The Electrochemical Society, 155, pp. A494-A504.

M. Secanell, R. Songprakorp, A. Suleman, and N. Djilali, Multi-Objective Optimization of a Polymer Electrolyte Fuel Cell Membrane Electrode Assembly, Energy Environ. Sci., 1, pp. 378-388.

S. Litster and N. Djilali, Theoretical Performance Analysis of Micro-Structured Air-Breathing Fuel Cells, Electrochem. Solid-State Lett., 11 (1), pp. B1-B5.

M. Secanell, K. Karan, A. Suleman, and N. Djilali, Optimal Design of Ultra-Low Platinum PEMFC Anode Electrodes, J. Electrochem. Soc., 155 (2), pp. B125–B134.

N. Djilali and P.C. Sui, Transport Phenomena in Fuel Cells: From Microscale to Macroscale, Int. J. Comp. Fluid Dynamics, 22 (1-2), pp. 115-133.

X. Zhu, P.C. Sui, and N. Djilali, Numerical Simulation of Emergence of a Water Droplet from a Pore into a Microchannel Gas Stream, Microfluidics & Nanofluidics, 4 (6), pp. 543-555.   

P.C. Sui, S. Kumar, and N. Djilali, Advanced Computational Tools for PEM Fuel Cell Design - Part 1: Development and Base Case Simulations, J. Power Sources, 180, pp. 410-422.

P.C. Sui, S. Kumar, and N. Djilali, Advanced Computational Tools for PEM Fuel Cell Design - Part 2: Detailed Experimental Validation and Parametric Study, J. Power Sources, 180, pp. 423-432.

X. Zhu, P. C. Sui, and N. Djilali, Three Dimensional Numerical Simulations of Water Droplet Dynamics in a PEMFC Gas Channel, J. Power Sources, 181, pp. 101-115.

A. Bazylak, S. Berejnov, B. Markicevic, D. Sinton, and N. Djilali, Numerical and Microfluidic Pore Networks: Towards Designs for Directed Water Transport in GDLs, Electrochimica Acta, 53, pp. 7630-7637.

M. Secanell, R. Songprakorp, A. Suleman, and N. Djilali, Multi-Objective Optimization of a Polymer Electrolyte Fuel Cell Membrane Electrode Assembly, Energy Environ. Sci., 1, pp. 378-388.

 
2007

R. Wang and R.J. Spiteri, Linear instability of the fifth-order WENO method, SIAM Journal on Numerical Analysis, 45(5) pp. 1871-1901.

M.C. MacLachlan, J. Sundnes, and R.J. Spiteri, A comparison of non-standard solvers for ODEs describing cellular reactions in the heart, Computer Methods in Biomechanics and Biomedical Engineering, 10(5) pp. 317-326.

C.I. Christov, R.S. Marinova, and T.T. Marinov, Identifying the Stationary Viscous Flows Around a Circular Cylinder at High Reynolds Numbers, Springer Lecture Notes in Computer Science (LNCS), pp. 175-183.

D. Schwarz and N. Djilali, 3D Modelling of Catalyst Layers in PEM Fuel Cells: Effects of Transport Limitations, J. Electrochem. Soc., 154(11)  pp. B1167-B1178.

• Submitted:

2010

J.J. Boisvert, P.H. Muir, and R.J. Spiteri, A BVODE Solver with Hybrid Global Error / Defect Control, ACM Transactions on Mathematical Software.

A.P. Kroshko and R.J. Spiteri, SIMD Solution of Ordinary Differential Equations on the Cell Broadband Engine within Particle Swarm Optimization, Journal of Mathematical Chemistry.

2. Other refereed contributions:

• Software:

R. Wang, P. Keast, and P.H. Muir, "BACOLR", Spatial and Temporal Error Control Software for PDEs based on High Order Adaptive Collocation. Algorithm 875 of the Collected Algorithms of the Association for Computing Machinery, http://calgo.acm.org, 2008.


• Review articles: 

2009
 
K. Promislow and B.T.R. Wetton, PEM Fuel Cells: A Mathematical Overview, SIAM Journal on Applied Math, 70(2) pp. 369-409.


• Papers in refereed conference proceedings:

2010

T.T. Marinov and R.S. Marinova, 2010. Inverse Problem for Coefficient Identification in Euler-Bernoulli Equation by Linear Spline Approximation, Seventh International Conference on Large-Scale Scientific Computations, June 4-8, 2009, Sozopol, Bulgaria. Springer Lecture Notes in Computer Science, 2010, Volume 5910/2010, Pages 588-595,

2009

R.S. Marinova, R.J. Spiteri, and E. Essien, Fully Implicit Methods for 3D Incompressible Fluid Flows Based on Vectorial Operator Splitting Preserving Velocity-Pressure Coupling, Seventh International Conference on Large-Scale Scientific Computations, June 4-8, 2009, Sozopol, Bulgaria. Springer Lecture Notes in Computer Science, 2010, Volume 5910/2010, Pages 596-603.

T.T. Marinov and R.S. Marinova, Cubic Spline Approximation of the Coefficient in Euler-Bernoulli Equation from Over-posed Data, Proceedings from the 1st Conf. AMiTaNS, Sozopol, Bulgaria, June 22-27, 2009, American Institute of Physics. Accepted Sept 2009.

X. Zhu, P.C. Sui, N. Djilali, and Q. Liao, Dynamics of Emerging Water Droplet near Side Wall with Different Wettability in a Fuel Cell Cathode Channel, Int. Symposium on Transport Phenomena, Victoria, July 2009.

C.-C. Chueh and N. Djilali, Dimensional Simulation of Dynamic Two-Phase Flow in Heterogeneous Porous Media Using a Multi-Level Adaptive, Int. Symposium on Transport Phenomena, Victoria, July 2009.

R. Flückiger, P.C. Sui, F. Büchi, and N. Djilali, A pore scale model for PEMFC catalyst layers, Electrochemical Society Meeting, Vienna, Oct 2009.

2008

P.L. Rasmussen, P.C. Sui, S.K. Kær, and N. Djilali, Development of a Rapid Simulation Tool for PEM Fuel Cell Stacks, ASME 6th Int. Fuel Cell Science, Engineering & Technology Conf, Denver, CO, Paper FuelCell 2008-65094

P.C. Sui and N. Djilali, Simulation Tools for Optimal Design of PEM Fuel Cells: From Components to Stack, Proc. ECOS 2008, Krakow, Poland

J. Hu, P.C. Sui, N. Djilali, and S. Kumar, Modelling and simulations on mitigation techniques for carbon oxidation reaction caused by local fuel starvation in a PEMFC, ECS Trans. 16, (2) 1313
         
X. Zhu, P.C. Sui, and N. Djilali, Effect of Channel Geometry on the Dynamics of a Water Droplet in a Microchannel, Proc. Micro/Nanoscale Heat Transfer Int. Conf., paper MNHT2008-52242, Taiwan, January 2008.
         
A. Bazylak, V. Berejnov, B. Markicevic, D.Sinton, and N. Djilali, A Microfluidic Pore Network Approach to Investigate Water Transport in Fuel Cell Porous Transport Layers, Proceedings of the Sixth International ASME Conference on Nanochannels, Microchannels and Minichannels, Paper No.: ICNMM2008-62349, Darmstadt, Germany, June 23-25, 2008.

J. Hu, P.C. Sui, and N. Djilali, Numerical Investigation on the Transport in a PEMFC using a Microstructure Reconstruction Technique, 214th ECS Meeting, ECS Trans. 16 (2), 2133, Honolulu, HI, October 2008.  

M. Secanell, R. Songprakorp, N. Djilali, and A. Suleman, “Design of a Polymer Electrolyte Fuel Cell Membrane Electrode Assembly For Maximum Performance under Different Operating Conditions,” 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, BC, Canada, Paper AIAA 2008-5980, September 2008.

    2007

P.C. Sui, J. Hu, and N. Djilali, PEMFC Catalyst Layer: Theoretical Framework & Pore-Scale Model, AIChE Annual Meeting, Salt Lake City, Utah, November 4-9, 2007.



• Monographs, books, and book chapters:

    2009


    2008

G. Minor, X. Zhu, P. Oshkai, P.C. Sui, and N. Djilali, “Water Transport Dynamics in Fuel Cell Micro-Channels” , in Mini-Micro Fuel Cells-Fundamentals and Applications, S. Kakac,A.Pramuanjaroenkij and L. Vasiliev, Eds. Springer Netherlands, pp. 153-170, 2008.
 
S. Litster and N. Djilali, “Performance Analysis of Microstructured Fuel Cells for Portable Applications”, in Mini-Micro Fuel Cells-Fundamentals and Applications, S. Kakac,A.Pramuanjaroenkij and L. Vasiliev, Eds. Springer Netherlands, pp. 47-74, 2008.


• Letters, notes, communications:
• Government publications: