Zhenquan Li

Biography

Dr Li is currently a senior lecturer of Mathematics at Charles Sturt Unviersity, Albury-Wodonga campus. He joined CSU in January 2011.

Current Research Projects

List of publications in English

Refereed publications

[57] Li, Z., Computational complexity of the algorithm for a 2D adaptive mesh refinement method using lid-driven cavity flows. Computational Thermal Sciences, 9(5)(2017), 395-403.

[56] Li, Z., Wood, R., CFD Analysis of 2D Unsteady Flow Past a Square Cylinder at Low Reynolds Numbers. Proceedings of 2017 International Conference Applied Mathematics, Computational Science and Systems Engineering, 2017, to appear.

[55] Li, Z., Wood, R., Accuracy verification of a 2D adaptive mesh refinement method for incompressible or steady flow. Journal of Computational and Applied Mathematics, 318(2017), 259-265.

[54] Li, Z., Wood, R., Accuracy analysis of a 2D adaptive mesh refinement method using lid-driven cavity flow and two refinements. Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering, 2016, 773-784.

[53] Li, Z., Crowhurst P. and Wood R., Error driven node placement as applied to one dimensional shallow water equations. Proceedings of 17th International conference on modelling and simulation (UKSim2015), 31-38, March 25-27, 2015, Cambridge, United Kingdom. IEEE Computer Society. DOI: 10.1109/UKSim.2015.31.

[52] Li, Z., Wood, R., 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(2015), 262-271.

[51] Lal, R., Li, Z., Sensitivity analysis of a mesh refinement method using the numerical solutions of 2D lid-driven cavity flow. Journal of Mathematical Chemistry, 53(2015), 844-867.

[50] Li, Z., Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes. Journal of Mathematical Chemistry, 52(2014), 1156-1170.

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

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

[47] Li, Z., Further Accuracy Analysis of a Mesh Refinement Method Using 2D Lid-driven Cavity Flow, Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering, June 23-27, 2013, Almeria, Spain.

[46] Crowhurst, P., Li, Z., Numerical Solutions of One-Dimensional Shallow Water Equations. Proceedings of 2013 UKSim 15th International conference on modelling and simulation, 55-60, April 10-12, 2013, Cambridge, United Kingdom. IEEE Computer Society.

[45] Li, Z., An Application of a Mesh Refinement to Lid-driven Cavity Flow. 11th International Conference on Fluid Control, Measurements and Visualization, Paper No. 241, December 5-9, 2011, Keelung, Taiwan.

[44] Li, Z., Singh, N., Creating Streamribbons Based on Mass Conservative Streamlines. International Journal of Mathematical, Physical and Engineering Science, 3(2)(2009), 103-107.

[43] Li, Z., An Adaptive Two-dimensional Mesh Refinement Method Based on the Law of Mass Conservation. Journal of Flow Visualization and Image Processing, 15(1)(2008), 17-33.

[42] Raj, N., Li, Z., Creating Streamlines Based on Mass Conservative Streamlines. International Journal of Mathematical, Physical and Engineering Sciences, 2(1)(2008), 41-45.

[41] Li, Z., An Adaptive Three-dimensional Mesh Refinement Method Based on the Law of Mass Conservation. Journal of Flow Visualization and Image Processing, 14(4)(2007), 375-395.

[40] Li, Z., Roberts, A.J., Low-dimensional Modeling of a Generalised Burgers Equation. Global Journal of Pure and Applied Mathematics, 3(2007), 203-218.

[39] Li, Z., Roberts, A.J., A Flexible Error Estimate for the Application of Centre Manifold Theory. Global Journal of Pure and Applied Mathematics, 3(2007), 241-249.

[38] Roberts, A.J., Li, Z., The Accurate and Comprehensive Model of Thin Fluid Flows with Inertia on Curved Substrates. Journal of Fluid Mechanics, 553(2006), 33-73.

[37] Li, Z., An Adaptive Streamline Tracking Method for Three-Dimensional CFD Velocity Fields Based on the Law of Mass Conservation. Journal of Flow Visualization and Image Processing, 13(2006), 359-376.

[36] Li, Z., An Adaptive Streamline Tracking Method for Two-Dimensional CFD Velocity Fields Based on the Law of Mass Conservation. Journal of Flow Visualization and Image Processing, 13(2006), 1-14.

[35] Li, Z., Mallinson, G., Dual Stream Function Visualization of Fluid Fields Dependent on Two Variables. Computing and Visualization in Science, 9(1)(2006), 33-41.

[34] Li, Z., Further Investigation of An Adaptive Three-dimensional Mesh Refinement Method with a Central Vortex Velocity Field. ICCES International Conference on Computational & Experimental Engineering and Sciences (E-Journal), 3(4)(2007), 251-256.

[33] Singh, R. P., Li, Z., A Mass Conservative Streamline Tracking Method for Three Dimensional CFD Velocity Fields. Journal of Flow Visualization and Image Processing, 14(1)(2007), 107-120.

[32] Li, Z., Mallinson, G., Simplifications of An Existing Mass Conservative Streamline Tracking Method for 2D CFD Velocity Fields. GIS and Remote Sensing in Hydrology, Water Resources and Environment, Y. Chen, K. Takara, I. D. Cluckies & F. H. D. Smedt, eds. IAHS Press, 289, pp. 269-275, 2004

[31] Li, Z., Mallinson, G., The Fluid Flow Visualisations Based on Space Curve Theory. Curves and Surface Design: Saint-Malo 2002, T. Lyche, M. Mazure, and L. Achumaker, eds., pp. 283-291.

[30] Mei, Z., Roberts, A.J., Li, Z., Modelling the Dynamics of Turbulent Floods. SIAM Journal on Applied Mathematics, 63(2)(2002), 423-458.

[29] Li, Z., A Mass Conservative Streamline Tracking Method for Two Dimensional CFD Velocity Fields. Journal of Flow Visualization and Image Processing, 9(3)(2002), 75-87.

[28] Li, Z., Mallinson, G., Mass Conservative Fluid Flow Visualisation for CFD Velocity Fields. KSME International Journal, 15(12) (2001), 1794-1800.

[27] Li, Z., Kecman, V., and Ichikawa, A., Fuzzified Neural Networks Based on Fuzzy Number Operations. Fuzzy Sets and Systems, 130(3) (2002), 15-28.

[26] Li, Z., Suitability of Fuzzy Reasoning Methods. Fuzzy Sets and Systems, 108(3) (1999), 299-311.

[25] Dai, X., Li, Z., Two Methods for Dynamic Data Exchange in Windows System. Applied Computer, 6 (1994) (In Chinese, English abstract), 18-20.

[24] Sun, G., Li, Z., The Limit Cycle of a Class of Consumed Nutrition Micro-organism. Guohua Sun and Zhenquan Li. J. of Hebei University, 2(1992) (In Chinese, English abstract), 44-50.

[23] Li, Z., The Topological Entropy of a Class of Mapping. Statistics and Applied Probability, Special issue (1992) (In Chinese, English abstract), 130-131.

[22] Li, Z., Sun, G., The Sufficient and Necessary Condition for Embedding of Mapping of C^1 in Semiflows. Quarterly of Mathematics, 2(1988) (In Chinese), 44-46.

[21] Sun, G., Li, Z., Qualitative Study of a Model of Predatoriness Base upon the Theory of Nutrition Kinetics. J. of Hebei University, 3(1987) (In Chinese, English abstract), 66-72.

[20] Sun, G., Li, Z., Uniqueness of Limit Cycle of a Model of Predator to Prey. J. of Hebei University, 3(1987) (In Chinese, English abstract), 72-77.

[19] Li, Z., The Extension and Applications of J.H.C. Whitehead’s Theorem. J. of Hebei University, 4(1986) (In Chinese, English abstract), 75-77.

[18] Li, Z., Lal, R., An Application of A Mesh refinement Method Based on the Law of Mass Conservation, Proceedings of 2010 International Conference on Computational and Information Sciences, pp. 226-229, IEEE Computer Society.

[17] Li Z., Further Investigation of An Adaptive Three-dimensional Mesh Refinement Method with a Central Vortex Velocity Field. Proceedings of ICCES07. ICCES0720060730038. Jan. 3-8, Miami, USA. (Same paper as [33])

[16] Li Z., Mass Conservative Computer Modeling in Fluid Engineering. Proceedings of 2nd Asia-Pacific International Conference on computational method in engineering, Paper No. 57, Nov. 14-18, 2006, Hefei, China.

[15] Li, Z., An Adaptive Three-dimensional Mesh Refinement Method for the Problems in Fluid Engineering. Proceedings of ICCES05-INDIA (International conference on Computational & Experimental Engineering and Science), pp. 381-386. December 1-6, 2005, Chennai, India.

[14] Li, Z., An Adaptive Two-Dimensional Mesh Refinement Method for the Problems in Fluid Engineering. Proceedings of the 2004 International Symposium on Computational and Information Science, December 16-18, 2004, Shanghai, China. Lecture notes in Computer Science 3314, pp. 118-123.

[13] Li, Z., Simplifications of An Existing Mass Conservative Streamline Tracking Method for 2D CFD Velocity Fields, Proceedings of International Conference of GIS and Remote Sensing in Hydrology, Water Resources and Environment, September 16-19, 2003, Yichang, China.

[12] Li, Z., A Mass Conservative Streamline Tracking Method for Three Dimensional CFD Velocity Fields. Proceedings of ASME International 2003 Fluids Engineering Division Summer Meeting, FEDSM2003-45526, pp. 1-6, July 6-10, 2003, Honolulu, Hawaii, USA.

[11] Li, Z., A Comparison of 3-D Mass Conservative Streamline Tracking Methods. Proceedings of the 7th Asian Symposium on Visualization, November 3-7, 2003, Singapore.

[10] Li, Z., Mallinson, G., An Adaptive Streamline Tracking Method for Two Dimensional CFD Velocity Fields. Proceedings of the 7th Asian Symposium on Visualization, November 3-7, 2003, Singapore.

[9] Li, Z., Tangent Curves for Linearly Varying Velocity Fields over Tetrahedral Domains, Proceedings of Image and Vision Computing '02 NZ, pp. 35-38, November 26-28, 2002, Auckland, New Zealand.

[8] Li, Z., A Parallel Learning Algorithm for Fuzzy Neural Networks Based on Fuzzy Number Operations. Proceedings of the Optical Technology and Image Processing For Fluids and Solids Diagnostics (SPIE-Beijing 2002), P081, pp. 1-5, September 3-6, 2002, Beijing, China.

[7] Li, Z., Mallinson, G., Dual Stream Functions for Linearly Varying Momentum Vector Fields over Tetrahedral Domains.Proceedings of The 10th International Symposium on Flow Visualization (ISFV-10), F0121, pp. 1-12, August 26-19, 2002, Kyoto, Japan.

[6] Kecman, V., Li, Z., Fuzzy Calculus by RBF Neural Networks. Proceedings of The Sixth International Conference on Neural Networks and Soft Computing ICNNSC 2002, pp. 516-522, June 11-15, 2002, Zakopane, Poland. Advances in Soft Computing, Springer-Verlag.

[5] Li, Z., Mallinson, G., Mass Conservative Fluid Flow Visualisation for CFD Velocity Fields. Proceedings of 6th Asian Symposium on Visualisation, paper No.33, pp. 1-6, 2001, Busan, Korea.

[4] Li, Z., Roberts, A.J., An Accurate Model of Thin 3D Fluid Flows with Inertia on Curved Surfaces. Proceedings of EMAC98, pp. 315-318. Available at http://xxx.lanl.gov/list/patt-sol/9803001

[3] Li, Z., Nishikawa, M., and Ichikawa, A., The Choice of Weights and Biases of Fuzzy Neural Networks Based on Fuzzy Number Operations. Proceedings of ICONIP’98, pp. 1770—1773, IOS Press, October 1998, Kitakyushu, Japan.

[2] Suslov, S.A., Mei, Z., Roberts, A.J., and Li, Z., Centre Manifold Modelling of Turbulent Shallow Fluid Flow. Bulletin of the American Physical Society, 43(9), pp. 2040, 1998.

[1] Li, Z., Zhang, Y., Nishikawa, M., and Ichikawa, A., A Learning Algorithm for Fuzzy Neural Network Based on Fuzzy Numbers Operations. Proceedings of ICONIP 96, pp. 260-265, Springer, 1996, Hong Kong.

Refereed abstract conference papers

[1] Implementation of an Adaptive Two-dimensional Mesh Refinement Method Based on the Law of Mass Conservation. Dinesh Kumar and Zhenquan Li. 2006 Hawaii International Conference on Statistics, Mathematics and Related Fields, Jan. 16- 18, 2006, Honolulu, Hawaii, USA.

[2] A Mass Conservative Streamline tracking Method for Three Dimensional CFD velocity fields. Roslyn Preetika Singh and Zhenquan Li. 2006 New Zealand Mathematics Colloquium, Dec. 4-6, University of Waikato, Hamilton, New Zealand.

[3] The Stream Surfaces in Flow Visualization, Zhenquan Li and Gordon Mallinson, International Conference on Fifth Curves and Surfaces, June 27 - July 3, 2002,Saint-Malo, France.

[4] Low-dimensional Modelling of a Generalised Burgers Equation Based on Centre Manifold Theory, Zhenquan Li, Australian and New Zealand Industrial and Applied Mathematics (ANZIAM'98) Conference, Feb. 7-11, 1998, Coolangatta, Queensland, Australia.

[5] Modelling Turbulent Floods: cube-root version. Z. Mei, A.J. Roberts, A.J., and Zhenquan Li, The 51st Annual Meeting of Division of Fluid Dynamics,November 1998, Philadelphia, Pennsylvania, USA.

[6] Low-dimensional Modelling of Turbulent Flow Based on Centre Manifold Theory, Zhenquan Li, Australian and New Zealand Industrial and Applied Mathematics (ANZIAM'97) 33rd Australian Applied Mathematics Conference, Lorne, Victoria, Australian.

[7] A New Fuzzy Reasoning Method, Zhenquan Li, 4th IEEE International Conference on Fuzzy Systems & 2nd International Fuzzy Engineering Symposium, Mar. 20-24, 1995, Yokohama, Japan.

Non-refereed papers

[1] Numerical Solutions for Mathematical Models in Fluid Engineering, Zhenquan Li. First Auckland/Waikato Region Applied Maths Day, IIMS, Massey University, Albany, Auckland, October 31, 2003.

[2] Low-dimensional Model of Turbulence Based on Centre Manifold Theory, Zhenquan Li. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM’97) Conference, Lorne, Victoria, Australia, 2-6 February 1997.

[3] Fuzzy Neural Networks, Zhenquan Li. 1996 QANZIAM weekend conference, Marburg, Queensland, Australia.