ILWS - Charles Sturt University
ILWS - Charles Sturt University

Dr Zhenquan Li

Dr Zhenquan Li

Dr Zhenquan Li's areas of expertise are in the fields of mathematical modelling, computational science and neural networks. His current research interest focuses on the applications of the adaptive mesh refinement methods he proposed based on the qualitative theory of differential equations. The accuracy and reliability of the methods have been verified by some test benchmarks. These methods can be applied to any mathematical models containing continuity equation for steady flow or incompressible fluid. In our daily life, the methods can be used to investigate any water or air flows with speed less than 370km per hour. He has published a total of 58 refereed publications including 34 refereed journal articles and 24 refereed conference papers up to 2014.

Research Interests

  • Modelling and simulation
  • Computational methods for fluid flow
  • Applications of computational methods in practice

Bachelor of Science  Hebei University (China), 1982
PhD The University of Southern Queensland, 2000


Member of Society for Industrial and Applied Mathematics (SIAM).

Member of Australian mathematical Society (Aus MS)

Member of American Society of Thermal and Fluids Engineers (ASTFE)


Peer Reviewed Papers

Li, Z., Wood, R. (2016) Accuracy verification of a 2D adaptive mesh refinement method for incompressible or steady flow, Journal of Computational and Applied Mathematics. http://www.sciencedirect.com/science/article/pii/S0377042716304423

Lal, R., Li, Z., (2015) Sensitivity analysis of a mesh refinement method using the numerical solutions of 2D lid-driven cavity flow. Journal of Mathematical Chemistry, 53, 844-867. DOI: 10.1007/s10910-014-0461-7

Li, Z., Wood, R., (2015) Accuracy analysis of an adaptive mesh refinement method using benchmarks of 2-D steady incompressible lid-driven cavity flows and coarser meshes. Journal of Computational and Applied Mathematics, 275  262–271.

Li, Z., (2014) Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes. Journal of Mathematical Chemistry, 52, 1156-1170. DOI: 10.1007/s10910-014-0334-0

Mungkasi, S., Li, Z., Roberts, S., (2014) Weak local residuals as smoothness indicators for the shallow water equations. Applied Mathematics Letters, 30, 51-55.

Li, Z., (2012) A Mass Conservative Streamline Tracking Method using Dual Stream Functions over Tetrahedral Domains. Visualization of Mechanical Process, 4(2), DOI: 10.1615/VisMechProc.2013003332.

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Current Projects

Applications of adaptive meshless methods in environmental problems (ongoing)

An implementation of adaptive mesh refinement method in C++ (ongoing)

Completed Projects

Expert review of hydraulic models of locks 7,8 and 9 vertical slot fishways, (2016) Li, J. MDBA, $3600

An implementation of a two-dimensional finite volume method for refined meshes in Matlab (2015 - 2016)

A new computational method for fluid flow (2000 – 2015)