Dr. Xin Liu
Hydraulic Modelling, Numerical Prediction of Water System, Development of Numerical Models, River Modelling, Maintaining Numerical Simulation Suites
Current research and/or projects
Research and Development on Numerical Forecast in the Great Lakes St. Lawrence River Watershed.
Research and/or project statements
My research interests span the areas of hydrodynamic, morphodynamic and environmental/chemical fluid mechanics. A common thread in my research is in understanding the theory, design of numerical algorithms and models, and performing numerical simulations and analyses. To numerically solve the engineering and mechanical problems, I have resorted to mathematical methods from the areas of solving partial differential equations(PDEs) and ordinary differential equations(ODEs), geometry and statistics.
I'm particularly interested in the following research topics:
Sediment Transport and Morphodynamic Modelling
Numerical methods for partial/ordinary differential equations
Professional activities / interests
Adjunct Professor, Department of Civil Engineering, University of Ottawa
Education and awards
Ph.D. Environmental Engineering, University of Ottawa, Canada 2011-2016
M.S. Chemical Engineering, Hebei University of Technology, China 2008-2011
B.S. Chemical Engineering, Hebei University of Technology, China 2004-2008
SUSTech President Award for Excellent Postdoctoral Fellow: 2018-2019
Natural Resources Canada's STIP Fellowship: 2016-2017
Nomination of Pierre Laberge Prize, Uottawa: 2016
University of Ottawa Graduate Dean's Scholarship: 2016
Ontario Graduate Scholarship: 2015-2016
Queen Elizabeth II Graduate Scholarships in Science and Technology: 2014-2015
Queen Elizabeth II Graduate Scholarships in Science and Technology: 2012-2013
University of Ottawa Excellence Scholarship/Admission Scholarship: 2011-2016
International experience and/or work
Physics Scientist, Researh: Numerical Environmental Prediction Section, Environmental and Climate Change Canada/Government of Canada, Dorval, Quebec, Canada 2019.08-present
Postdoctoral Fellow: Department of Mathematics, Southern University of Science and Technology, Shenzhen, China 2017.10-2019.07
Visiting Scholar: Department of Mathematics, Southern University of Science and Technology, Shenzhen, China 2017.07-2017.09
Intern: Department of Civil Engineering, University of Ottawa, Ottawa, Canada 2016.09-2017.05
 A. Chertock, A. Kurganov, X. Liu, Y. Liu, T. Wu. "Well-Balancing Via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts." Submitted.
 X. Liu. "A Robust Numerical Model for Stratified Two-Layer Depth-Averaged Flows with Variable Density." Submitted.
 X. Liu, Alexander Kurganov. "Well-Balanced Partial Relaxation Numerical Scheme for a Two-Layer Hydro-Sediment-Morphodynamic Model." Submitted.
 X. Liu. "A Well-Balanced Numerical Scheme for Two-layer Shallow Water Flows with Wet-Dry Fronts." Submitted.
 X. Liu, A. Mohammadian. "A three-stage third-order low-dissipation and low-dispersion explicit exponential Runge-Kutta Method." Submitted.
 X. Liu. "A New Well-Balanced Finite Volume Scheme on Unstructured Grids for Two-dimensional Two-layer Shallow Water System." Journal of Computational Physics, 438(2021)
 S. Chen, F. Zheng, X. Liu. "Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows." Journal of Hydroinformatics, (2021)
 S. Chen, F. Zheng, X. Liu, P. Garamb. "Pressure-balanced Saint-Venant equations for improved asymptotic modelling of pipe flow." Journal of Hydro-environment Research, (2021)
 X. Liu, S. Chen. "Discussion of 'A remark on finite volume methods for 2D shallow waterequations over irregular bottom topography' by Cristo et al., Journal of Hydraulic Research(2020):1-8." Accepted by Journal of Hydraulic Research
 X. Liu. "A Well-balanced and Positivity-preserving Numerical Model for Shallow Water Flows in Channels with Wet-dry Fronts." Journal of Scientific Computing, 85 60(2020).
 X. Liu. "A Steady-State-Preserving Scheme for Shallow Water Flows in Channels." Journal of Computational Physics , 423C(2020): 109803.
 X. Liu. "A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations over Irregular Bottom Topography." SIAM Journal on Scientific Computing, 42(5)(2020): B1136–B1172.
 X. Liu, X. Chen, S. Jin, A. Kurganov, T. Wu, H. Yu. "Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System." SIAM Journal on Scientific Computing, 42(4), (2020): A2206-A2229
 X. Liu, A. Chertock, A. Kurganov, K. Wolfkill. "One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems." Journal of Scientific Computing, (2019): 1-32.
 X. Liu, A. Chertock, A. Kurganov. "An Asymptotic Preserving Scheme for Two Dimensional Shallow Water Equations with Coriolis Force." Journal of Computational Physics, 391(2019): 259-274.
 X. Liu. "A Robust Numerical Model for Solute Transport in the Shallow Water System with Wet/Dry Interfaces." Computer Methods in Applied Mechanics and Engineering, 351(2019): 85-108.
 X. Liu. "A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces" Communications in Computational Physics, 25 (2019): 1394-1412.
 X. Liu, J. Albright, Y. Epshteyn, A. Kurganov. "Well-Balanced Positivity Preserving Central-Upwind Scheme with a Novel Wet/Dry Reconstruction on Triangular Grids for the Saint-Venant System." Journal of Computational Physics, 374 (2018): 213-236.
 X. Liu, J. A. Infante Sedano, A. Mohammadian. "Closure to 'A coupled two-dimensional numerical model for rapidly varying flow, sediment transport and bed morphology' by XIN LIU, JULIO ANGEL INFANTE SEDANO and ABDOLMAJID MOHAMMADIAN, J. Hydraulic Res. 53(5), 2015, 609-621." Journal of Hydraulic Research, 56(5), (2018): 751-752.
 X. Liu, A. Beljadid. "A coupled numerical model for water flow, sediment transport and bed erosion." Computers & Fluids, 154 (2017): 273-284.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "A numerical model for three-dimensional shallow water flows with sharp gradients over mobile topography." Computers & Fluids, 154C (2017): 1-11.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "Numerical modelling of submarine turbidity currents over erodible beds using unstructured grids." Ocean Modelling, 113(2017): 157-170.
 X. Liu, A. Mohammadian, J. A. Infante Sedano, and Alexander Kurganov. "Three-dimensional shallow water system: A relaxation approach." Journal of Computational Physics, 333 (2017): 160-179.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "Numerical modeling of mixing downstream of a mass slug injection using exponential Runge-Kutta integrator." International Symposium on Outfall Systems, (2016), Ottawa, Canada.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "Three-dimensional modeling of non-hydrostatic free-surface flows on unstructured grids." International Journal for Numerical Methods in Fluids, 82, no.3 (2016):130-147.
 X. Liu, A. Mohammadian, A. Kurganov, J. A. Infante Sedano. "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.
 X. Liu, J. A. Infante Sedano, A. Mohammadian."A coupled two-dimensional numerical model for rapidly varying flow, sediment transport and bed morphology." Journal of Hydraulic Research, 53, no. 5 (2015): 609-621.
 X. Liu, J. A. Infante Sedano, A. Mohammadian. "A robust coupled 2-D model for rapidly varying flows over erodible bed using central-upwind method with wetting and drying." Canadian Journal of Civil Engineering, 42, no.8 (2015): 530-543.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "A Well-Balanced 2-D Model for Dam-Break Flow with Wetting and Drying." Journal of Fluid Flow, Heat and Mass Transfer, 1(2014): 30-37.
 X. Liu, A. Mohammadian, J. A. Infante Sedano. "One Dimensional Numerical Simulation of Bed Changes in Irrigation Channels using Finite Volume Method." Irrigation & Drainage Systems Engineering, 1, no.103 (2012): 2.
 W. Chen, X. Liu, X. Fan, L. Chu, Y. Yang, W. Liu. "Three-dimensional simulation of gas-solid flow in the biomass circulating fluidized bed gasifier's riser." Advanced Materials Research, 383-390 (2012): 6537-6542.
 X. Liu, W. Chen, X. Fan, J. Sun, S. Pang. "Various Circulating Fluidized Beds Biomass Gasifers." Boiler Technology, 43, no.1 (2012): 33-37.
 X. Liu, W. Chen, X. Fan, J. Sun. "3-D Numerical Simulation of Flow Structure in Miniature Biomass Circulating Fluidized Beds Gasi er." Transactions of the Chinese Society of Agricultural Machinery, 42, no.6 (2011): 112-116.
Numerical Environmental Prediction, National Prediction Development
Canadian Centre for Meteorological and Environmental Prediction
Environment and Climate Change Canada/Government of Canada