Selected Publications.

Articles submitted:

[J21] Riemann solver for a kinematic wave traffic model with a discontinuous flux (29 pages, with J.K. Wiens and JF Williams).
Submitted to SIAM Journal on Applied Mathematics, December 2011.   [ 
arXiv ]

Journal articles:

[J20] The mathematics of atmospheric dispersion modelling.
SIAM Review, 53(2):349-372, 2011.   [ code | DOI | Column intro |  MR2806641 ]
Ranked among the top 20 downloads for all SIAM journals during May-Nov 2011.
[J19] The effect of slip velocity on saturation for multiphase condensing mixtures in a PEM fuel cell (with M. Kermani).
International Journal of Hydrogen Energy, 36(20):13235-13240, 2010.   [ DOI ]
[J18] Numerical simulations of a gravity-driven fingering in unsaturated porous media using a non-equilibrium model (with M. Chapwanya).
Water Resources Research, 46:W09534, 2010.   [ DOI | arXiv ]
[J17] A parametric study of cathode catalyst layer structural parameters on the performance of a PEM fuel cell (with N. Khajeh-Hosseini, M.J. Kermani and D.K. Moghaddam).
International Journal of Hydrogen Energy, 35:2417-2427, 2010.   [ DOI ]
[J16] An inverse Gaussian plume approach for estimating pollutant emissions from multiple point sources (with E. Lushi).
Atmospheric Environment, 44(8):1097-1107, 2010.   [ DOI  | arXiv ]
[J15] A model for reactive porous transport during re-wetting of hardened concrete (with M. Chapwanya and W. Liu).
Journal of Engineering Mathematics, 65(1):53-73, 2009.   [ DOI  | arXiv ]
[J14] Modelling and simulation of porous immersed boundaries.
Computers & Structures, 87(11-12):701-709, 2009.   [ DOI ]
[J13] A moving mesh method with variable relaxation time (with A. Soheili).
Applied Numerical Mathematics, 58(3):249-263, 2008.   [ DOI  | arXiv ]
[J12] Sharp interface reduction for multiphase transport in a porous fuel cell electrode (with K. Promislow and B.R. Wetton).
Proceedings of the Royal Society of London, Series A, 462(2067):789-816 (2006).   [ DOI |  MR2273426 ]
[J11] Parametric resonance in immersed elastic boundaries (with R. Cortez, C.S. Peskin and D.A. Varela).
SIAM Journal on Applied Mathematics, 65(2):494-520 (2004).   [ DOI ]
[J10] Heat and mass transfer modeling of dry gases in the cathode of PEM fuel cells (with M.J. Kermani).
International Journal of Computational Fluid Dynamics, 18(2):153-164 (2004).   [ DOI ]
[J9] A finite volume method for multicomponent gas transport in a porous fuel cell electrode (with K. Promislow and B.R. Wetton).
International Journal for Numerical Methods in Fluids, 41:577-599 (2003).   [ DOI ]
[J8] Adiabatic relaxation of convective-diffusive gas transport in a porous fuel cell electrode (with K. Promislow).
SIAM Journal on Applied Mathematics, 62(1):180-205 (2001).   [ DOI ]
[J7] A moving mesh method for hyperbolic conservation laws (with J.A. Mackenzie and R.D. Russell).
SIAM Journal on Scientific Computing, 22(5):1791-1813 (2001).   [ DOI |  MR1813298 ]
[J6] Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes (with B.R. Wetton).
Journal of Computational Physics, 154:41-64 (1999).   [ DOI ]
[J5] Simulating the motion of flexible pulp fibres using the immersed boundary method (with S.I. Green).
Journal of Computational Physics, 147(1):147-165 (1998).   [ DOI ]
[J4] The geometry of intersecting tubes applied to controlling a robotic welding torch.
MapleTech (Special Issue on Maple in Industry), 5(2/3):58-66 (1998).
[J3] An interactive course in numerical methods for the earth sciences (with S.E. Allen and P.H. Austin).
Bulletin of the American Meteorological Society 78(7):1503-1509 (1997).
[J2] Stability analysis for the immersed fiber problem (with B.R. Wetton).
SIAM Journal on Applied Mathematics 55(6):1577-1591 (1995).   [ DOI ]
[J1] The generalized Lagrangian method with flux limiters (with S. Sivaloganathan).
International Journal of Numerical Methods for Heat & Fluid Flow 5(2):121-130 (1995).

Manuscripts in preparation:

[M5] A mathematical model for sap exudation in maple trees governed by ice melting, gas dissolution and osmosis (with M. Ceseri).
[M4] A three-phase free boundary problem involving icing melting and gas dissolution (with M. Ceseri).
[M3] An approximate Riemann solver for multi-class pedestrian flow (with R. Bowlby).
[M2] Asymptotic behaviour of wetting fronts in porous media with exponential moisture diffusivity (with C.J. Budd).
[M1] A high resolution wave propagation approach for simulating transport of atmospheric pollutants in 3D (with E. Lebed).

Conference publications:

[C10] Early detection of important animal health events (with 11 others).
Proceedings of the 13th PIMS Industrial Problem Solving Workshop, Calgary, AB, May 2009.
[C9] Condensation in the cathode of a PEM fuel cell (with M.J. Kermani and A.G. Gerber).
Proceedings of the 11th Annual Conference of the CFD Society of Canada, Vancouver, BC, May 2003.
[C8] Thermodynamically based moisture prediction using Roe's scheme (with M.J. Kermani and A.G. Gerber).
The 4th Conference of the Iranian Aerospace Society, Amir Kabir University of Technology, Tehran, Iran, January 2003.
[C7] Multi-phase flow and condensation in proton exchange membrane fuel cells.
Proceedings of the International Mechanical Engineering Congress and Exposition, New Orleans, LA, November 2002.
[C6] Temperature-dependent simulations of dry gas transport in the electrodes of proton exchange membrane fuel cells (with M.J. Kermani).
Proceedings of the 10th Annual Conference of the Computational Fluid Dynamics Society of Canada, Windsor, ON, June 2002.
[C5] Simulating the dynamics of flexible wood pulp fibres in suspension.
Proceedings of the 16th Annual IEEE Symposium on High Performance Computing Systems and Applications, Moncton, NB, June 2002.   [ DOI ]
[C4] Modelling InSb Czochralski growth (with C.S. Bohun and 24 others).
Proceedings of the 5th PIMS Industrial Problem Solving Workshop, Seattle, WA, June 2001.
[C3] Contaminant transport in municipal water systems.
Proceedings of the 3rd PIMS Industrial Problem Solving Workshop, Victoria, BC, June 1999.
[C2] Trip wire detection for land mines (with C.J. Budd).
Proceedings of the 2nd PIMS Industrial Problem Solving Workshop, Calgary, AB, June 1998.   [ web page ]
[C1] Stability and convergence of immersed boundary computations.
Proceedings of the 5th Annual Conference of the Computational Fluid Dynamics Society of Canada, Victoria, BC, May 1997.

Ph.D. thesis:

[T1] Analysis and computation of immersed boundaries, with application to pulp fibres.
Institute of Applied Mathematics, University of British Columbia, September 1997.


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