Publications

 

1.      Mohammadian A., Tajrishi M., Lotfi F. (2004) “Two-Dimensional Simulation of Flow and Morphological Processes near the Headlands Using Unstructured Grids”, International Journal of Sediment Research, Vol. 19, No. 4, 258-277 (Elsevier). link

 

2.      Mohammadian A., Le Roux D., Tajrishi M., Mazaheri K. (2005) “A Mass Conservative Scheme for Simulating Shallow Flows Over Variable Topography Using Unstructured Grid”, Advances in Water Resources, Vol. 28, 523-537 (Elsevier). link

 

3.   Mohammadian A., Le Roux D., (2006) “A Conservative Semi-Lagrangian Method for the Shallow Water Equations”, Computer Physics Communications. Vol. 174 (2), 99-108, (Elsevier). link

 

4.   Mohammadian A., Le Roux D., (2006) “Simulation of Shallow Flows over Variable Topography Using Unstructured Grid”, International Journal for Numerical Methods in Fluids. Vol. 52 (5), 473-498 (Wiley). link

 

5.   Mohammadian A., Le Roux D., Tajrishi M., (2007)A Conservative Extension of the Method of Characteristics for 1D shallow flows”, Applied Mathematical Modeling. Vol. 31 (2), 332-348 (Elsevier). link

 

6.   LeFloch P., Mohammadian A., (2008) “Why many theories of shock waves are necessary. Fourth- order models, kinetic functions, and equivalent equation”, Journal of Computational Physics. 227, 8, 4162-4189 (Elsevier). link

 

7.   Majda A., Mohammadian A., Xing Y., (2008) “Vertically Sheared Horizontal Flow with Mass Sources: A Canonical Balanced Model”, Geophysical and Astrophysical Fluid Dynamics. 102, 6, 543-591, (Taylor & Francis). link

 

8.   Mohammadian A., Le Roux D., (2008) “Fourier Analysis of Upwind Schemes in Shallow Water Systems for Gravity and Rossby waves”, International Journal for Numerical Methods in Fluids. 57, 4, 389-416 (Wiley). link

 

9.   Mohammadian A., (2010) “Numerical Approximation of Viscous Terms in Curvilinear Models for Shallow Waters”, International Journal for Numerical Methods in Fluids. 63, 584-599 (Wiley). link

 

10.   Mohammadian A., Marshall J., (2010) “A Vortex in Cell Model for the Quasi- Geostrophic Dynamics”, Ocean Modeling. 32, 132-142 (Elsevier). link

 

11.   Majda A., Xing Y., Mohammadian A., (2010) Multi-scale Equations for the Hurricane Embryo, Journal of Fluid Mechanics. 657, 478-501 (Cambridge University Press). link

 

12.   Ghoreishi A, Hassani F., Mohammadian A., Radziszewski P., (2011) An assessment of thawing in frozen rocks of backfilled underground mines, Journal of Rock Mechanics and Mining Sciences. 48, 7, 10681076 (Elsevier). link

 

13.   T. Odyemi, Mohammadian A., O. Seidou, (2012) Application of Chebyshev Pseudospectral Method to van der Waals Fluids, Nonlinear Science and Numerical Simulations. 17, 9, 34993507 (Elsevier). link

 

14.   Beljadid A, Mohammadian A., (2012) Numerical simulation of rotation dominated shallow water ows using finite volume methods, Computers and Fluids. 62, 15, 6470, 2012. (Elsevier). link

 

15.   Mohammadian A., M. Charron, (2012) Analytical and Chebyshev Pseudo Spectral Numerical Solutions for a Class of Horizontal Flows Dominated by Heat Sources, International Journal for Numerical Methods in Fluids, 70, 5, 537561 (Wiley). link

 

16.   Mohammadian A., Charron M., (2012) New analytical and CWENO Numerical Solutions for Horizontal Flows Dominated by Heat Sources”, Applied Mathematical Modeling, 36, 6, 2521 2535 (Elsevier). link

 

17.   B. Toumbou, Mohammadian A. (2013) Existence and smoothness of continuous and discrete solutions of a two-dimensional shallow water problem over movable beds”, Nonlinear Analysis: Theory, Methods & Applications, 76, 244-256 (Elsevier). link

 

18.   B. Toumbou, Mohammadian A. (2013) Existence and smoothness of continuous and discrete solutions of a two-dimensional shallow water problem over movable beds with nonlinear sediment transport relationship”, Nonlinear Analysis: Real World Applications, 14, 246-253 (Elsevier). link

 

19.   Ghoreishi A., Hassani F., Mohammadian A., Radziszewski P. (2013) A transient natural convection heat transfer model for geothermal borehole heat exchangers, Journal of Renewable and Sustainable Energy, 5, 043104, 1-15. (American Institute of Physics). link

 

20.   Ghoreishi A., Hassani F., Mohammadian A., Radziszewski P. (2013) A study into extraction of geothermal energy from tailings ponds, International Journal of Mining, Reclamation and Environment, 27, 4, 257-274 (Taylor & Francis). link

 

21.   Zhao L., Delatolla R., Mohammadian A. (2013) Nitrification Kinetics & Modified Model for the Rideau River, Canada, Water Quality Research Journal of Canada, 48, 2, 192-201. (The Canadian Association on Water Quality). link

 

22.   El-Khoury A., O. Seidou, D.R.L. Lapen, Z. Que, Mohammadian A., M. Sunohara, D. Bahram (2014) Combined impacts of future climate and land use changes on discharge, nitrogen and phosphorus loads for a Canadian river basin, The Canadian Geographer 58 (4), 499-516 (Wiley). link

 

23.   Beljadid A., Mohammadian A., Qiblawey H. (2013) An Unstructured Finite Volume Method for Large-Scale Shallow Flows using the Fourth-Order  Adams  Scheme”,  Computers and Fluids, 88, 579-589 (Elsevier). link

 

24.   Nazari F., Mohammadian A., Charron M., Zadra A. (2013) A Stable and Accurate Scheme for Nonlinear Diffusion Equations: Application to Atmospheric Boundary Layer”, Journal of Computational Physics, 236, 271-288 (Elsevier). link

 

25.   Gildeh H. K., Mohammadian A., Nistor I., Qiblawey H. (2014) Numerical Modeling of Turbulent Buoyant Wall Jets in Stationary Ambient Water, Journal of Hydraulic Engineering, Volume 140, Issue 6 (ASCE). link

 

26.   Nazari F., Mohammadian A., Charron M., Zadra A., (2014) Optimal High-Order Diagonally- Implicit RungeKutta Schemes for Nonlinear Diffusive Systems on Atmospheric Boundary Layer, Journal of Computational Physics. 271, 118-130 (Elsevier). link

 

27.   Beljadid A., Mohammadian A., Charron M. and Girard C., (2014) Theoretical and numerical analysis of a Class of Semi-Implicit Semi-Lagrangian Schemes potentially applicable to Atmospheric Models”, Monthly Weather Review 142 (12), 4458-4476 (American Meteorological Society). link

 

28.   Black R., Sartaj M., Mohammadian A., Qiblawey H., (2014) Biosorption of Pb and Cu using fixed and suspended bacteria, Journal of Environmental Chemical Engineering 2 (3), 1663-1671 (Elsevier). link

 

29.   Pilechi A., Rennie C., Mohammadian A., Zhu D., (2015) “In situ spatially distributed field measurements of transverse dispersion of a wastewater effluent in an extended natural meandering river reach for estimation of the full mixing length, Journal of Hydraulic Research 53 (1), 20-35 (Taylor & Francis for IAHR). link

 

30.   H. Kheirkhah Gildeh, A. Mohammadian; I. Nistor and H. Qiblawey., (2015) Numerical Modeling of 3 and 4 Inclined Dense Turbulent Jets in Stationary Ambient”, Environmental Fluid Mechanics, 15 (3), 537-562 (Springer). link

 

31.   A. El-Khoury, O Seidou, DRL Lapen, Z Que, M Mohammadian, M Sunohara, D Bahram, (2015) Land Use Changes Considered in Water Quality and Quantity Modeling Under Climate Change Scenarios, Journal of Environmental Management, 151, 76-86 (Elsevier). link

 

32.   Shirkhani, H., Mohammadian, A., Seidou, O., Qiblawey, H., (2015) “An Analysis of finite volume C grid for shallow water flows”, Advances in Water Resources, 82, 176-195 (Elsevier). link

 

33.   Xin Liu; A. Infante Sedano, A. Mohammadian., (2015) A robust well-balanced and coupled 2-D model for dam-break flow over erodible bed”, Canadian Journal of Civil Engineering 42 (8), 530-543. link

 

34.   Xin Liu, A. Mohammadian, Alexander Kurganov, Julio Angel Infante Sedano, (2015). Well-Balanced Central-Upwind Scheme for a Fully Coupled Shallow Water System Modeling Flows Over Erodible Bed”, Journal of Computational Physics, 300 (2015): 202-218 (Elsevier). link

 

35.   Kheirkhah Gildeh H, Mohammadian A, Nistor I, Qiblawey H., (2015) Inclined Negatively Buoyant Jets: A Numerical Approach”, Journal of Applied Water Engineering and Research, IAHR, Taylor and Francis, 4, 2016, 112-127, Invited paper. link

 

36.   Xin Liu, J. A. Infante Sedano, A. Mohammadian; (2015) “A performance study of a coupled hyperbolic system governing bed-load sediment transport under rapid shallow water flows”, Journal of Hydraulic Research, 53 (5), 687-687 (Springer). link

 

37.   Shirkhani, H., Seidou, O., Mohammadian, A., Qiblawey, H. (2015) “Projection of Significant Wave Height in a Coastal Area under RCPs Climate Change Scenarios”, Natural Hazards Reviews, ASCE, 17 (1), 04015016. link

 

38.   Nazari F, Abdolmajid Mohammadian, and Martin Charron, (2015) “Truly High- Order Low-Dissipation Low-Dispersion Implicit Runge-Kutta Schemes”, Journal of Computational Physics, (Elsevier), 286, 38-48. link

 

39.   Pilechi A., Mohammadian A., Rennie C., Zhu D., (2016) “An efficient method for coupling field data and numerical modeling for the estimation of a transverse mixing coefficient in meandering rivers”, Journal of Hydraulic Engineering, ASCE, 142 (6), 04016009. link

 

40.   H. Shirkhani, A. Mohammadian, O. Seidou & A. Kurganov, (2016) A Well-Balanced Positivity-Preserving Central-Upwind Scheme for Shallow Water Equations on Unstructured Quadrilateral Grids, Computers & Fluids 126, 25-40, (Elsevier). link

 

41.   T Wang, H Qiblawey, E Sivaniah, A Mohammadian (2016), Novel methodology for facile fabrication of nanofiltration membranes based on nucleophilic nature of polydopamine”, Journal of Membrane Science 511, 65-75 (Elsevier). link

 

42.   A Beljadid, A. Mohammadian, A Kurganov (2016), Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows”, Computers & Fluids, 136 (2016): 193-206. (Elsevier). link

 

43.   A Beljadid, A. Mohammadian, H Qiblawey (2016); Stability analysis of unstructured finite volume methods for linear shallow water flows using pseudospectra and singular value decomposition”, Advances in Water Resources 96, 127-144 (Elsevier). link

 

44.   Xin Liu; A. Mohammadian; J. A. Infante Sedano (2016); “Three-Dimensional Modeling of Nonhydrostatic Free-Surface Flows on Unstructured Grids” International Journal for Numerical Methods in Fluids, 82.3 (2016): 130-147, (Wiley). link

 

45.   S Sarjamee, I. Nistor, A. Mohammadian (2017); “Numerical simulation of tsunami wave forces on structures using OpenFOAM”, Natural Hazards, 87.1, 213-235, (Springer). link

 

46.   S Sarjamee; I. Nistor, A. Mohammadian; (2017), “Large eddy simulation of extreme hydrodynamic forces on structures with mitigation walls using OpenFOAM”, Natural Hazards, 85.3, 1689-1707 (Springer). link

 

47.   X. Yan, A. Mohammadian (2017); “Numerical Modeling of Vertical Buoyant Jets Subjected to Lateral Confinement”, Journal of Hydraulic Engineering, 143, 7 : 04017016, (ASCE). link

 

48.   Xin Liu; A. Mohammadian; J. A. Infante Sedano, A. Kurganov, (2017) “Three-dimensional shallow water system: A relaxation approach”, Journal of Computational Physics, 333, 160-179, (Elsevier). link

 

49.   Xin Liu, J. A. Infante Sedano, A. Mohammadian (2017), Numerical modeling of submarine turbidity currents over erodible beds using unstructured grids, Ocean Modelling 113, 157-170 (Elsevier). link

 

50.   S Khorshid, A. Mohammadian, I. Nistor (2017) “Extension of a Well-balanced Central Upwind Scheme for Variable Density Shallow Water Flow Equations on Triangular Grids”, in press, Computers and Fluids (Elsevier). link

 

51.   Xin Liu; A. Mohammadian; J. A. Infante Sedano (2017), A numerical model for three-dimensional shallow water flows with shocks over mobile topography, in press, Computers & Fluids (Elsevier). link

 

52.   H. Shirkhani, A. Mohammadian, O. Seidou & H. Qiblawey, (2018) Comparison of 2D triangular C-grid shallow water models, Computers & Fluids 161, 136-154, (Elsevier). link

 

53.   A Rokhzadi; A. Mohammadian; M. Charron, (2018), An Optimally Stable and Accurate Second-Order SSP Runge-Kutta IMEX Scheme for Atmospheric Applications. Journal of Advances in Modeling Earth Systems, 10. https://doi.org/10.1002/2017MS001065 (AGU). link

 

54.   A Rokhzadi; A. Mohammadian; On dissipation and dispersion errors optimization, A-stability and SSP properties; Communications in Computational Physics, 24, 1, 268-285 (Cambridge University Press). link

 

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