Academic Areas: Computational Mathematics

Research Interests: Lattice Boltzmann Method; Flow in Porous Media

Academic Degrees

PhD, 2009, State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, China;

Bachelor, 2001, Department of Mathematics, Zhengzhou University, Zhengzhou, China.

Professional Experience

Associate Professor (2013-present); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Postdoctoral Fellow (2011-2013); Department of Mechanical Engineering, The Hong Kong University of Science and Technology;

Lecturer (2009-2013); School of Mathematics and Statistics, Huazhong University of Science and Technology.

Selected Publications

• 1. Lei Wang, Zhenhua Chai, and Baochang Shi. Lattice Boltzmann simulation of magnetic field effect on natural convection of power-law nanofluids in rectangular enclosures. Advances in Applied Mathematics and Mechanics; 9(2017):1094-1110.

• 2. Huili Wang, Baochang Shi, Hong Liang, and Zhenhua Chai. Finite-difference lattice Boltzmann model for nonlinear convection-diffusion equations. Applied Mathematics and Computation; 309(2017):334-349.

• 3. H. Liang, B. C. Shi, and Z. H. Chai. An efficient phase-field-based multiple-relaxation-time lattice Boltzmann model for three-dimensional multiphase flows. Computers and Mathematics with Applications; 73(2017):1524-1538.

• 4. Huili Wang, Zhenhua Chai, Baochang Shi, and Hong Liang. Comparative study of the lattice Boltzmann models for Allen-Cahn and Cahn-Hilliard equations. Physical Review E; 94(2016):033304.

• 5. Hong Liang, Zhenhua Chai, and Baochang Shi. Lattice Boltzmann simulation of droplet dynamics in a bifurcating micro-channel. Acta Physica Sinica; 65(2016): 204701.

• 6. Lei Wang, Zhenhua Chai, and Baochang Shi. Regularized lattice Boltzmann simulation of double-diffusive convection of power-law nanofluids in rectangular enclosures. International Journal of Heat and Mass Transfer; 102(2016):381-39.

• 7. Chen Wu, Baochang Shi, Zhenhua Chai, and Peng Wang. Discrete unified gas kinetic scheme with force term for incompressible fluid flows. Computers and Mathematics with Applications; 71(2016):2608-2629.

• 8. Zhenhua Chai, Baochang Shi, and Zhaoli Guo. A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations. Journal of Scientific Computing; 69(2016):355-390.

• 9. Lei Wang, Baochang Shi, Zhenhua Chai, and Xuguang Yang. Regularized lattice Boltzmann model for double-diffusive convection in vertical enclosures with heating and salting from below. Applied Thermal Engineering; 103(2016):365-376.

• 10. Shuqi Cui, Ning Hong, Baochang Shi, and Zhenhua Chai. Discrete effect on the halfway bounce-back boundary condition of multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations. Physical Review E; 93(2016):043311.

• 11. Zhenhua Chai, Changsheng Huang, Baochang Shi, and Zhaoli Guo. A comparative study on the lattice Boltzmann models for predicting effective diffusivity of porous media. International Journal of Heat and Mass Transfer; 98(2016):687-696.

• 12. H. Liang, Q.X. Li, B.C. Shi, and Z.H. Chai. Lattice Boltzmann simulation of three-dimensional Rayleigh-Taylor instability. Physical Review E; 93(2016):033113.

• 13. Hu Huang, Ning Hong, Hong Liang, Baochang Shi, and Zhenhua Chai. Lattice Boltzmann simulation of the droplet impact onto liquid film. Acta Physica Sinica; 65(2016)084702.

• 14. H. Liang, B.C. Shi, and Z.H. Chai. Lattice Boltzmann modeling of three-phase incompressible flows. Physical Review E; 93(2016):013308.

• 15. Lei Wang, Baochang Shi, and Zhenhua Chai. A lattice Boltzmann study of the asymmetry effect on the hemodynamics in stented fusiform aneurysms. Computers and Mathematics with Applications; 71(2016):328-348.

• 16. Lei Wang, Baochang Shi, and Zhenhua Chai. Regularized Lattice Boltzmann Model for a class of convection-diffusion equations; Physical Review E; 92(2015):043311.

• 17. Ting Zhang, Bao-Chang Shi, and Zhen-Hua Chai. Lattice Boltzmann simulation of dissolution and precipitation in porous media. Acta Physica Sinica; 64(2015):154701.

• 18. Qianhuan Li, Zhenhua Chai, and Baochang Shi. Lattice Boltzmann models for a class of convection-diffusion equations with variable coefficients. Computers and Mathematics with Applications; 70(2015):548-561.

• 19. Changsheng Huang, Baochang Shi, Zhaoli Guo, and Zhenhua Chai. Multi-GPU based lattice Boltzmann method for hemodynamic simulation in patient-specific cerebral aneurysm. Communications in Computational Physics; 17(2015):960-974.

• 20. Hong Liang, Zhenhua Chai, Baochang Shi, Zhaoli Guo, and Qiuxiang Li. Numerical simulations of immiscible displacement in the cavities via lattice Boltzmann method. International Journal of Modern Physics C; 26(2015):1550074.

• 21. Qianhuan Li, Zhenhua Chai, and Baochang Shi. A novel lattice Boltzmann model for the coupled viscous Burgers’ equations. Applied Mathematics and Computation; 250(2015):948-957.

• 22. Changsheng Huang, Baochang Shi, Nanzhong He, and Zhenhua Chai.  Implementation of multi-GPU based lattice Boltzmann method for flow through porous media. Advances in Applied Mathematics and Mechanics; 7(2015):1-12.

• 23. H. Liang, Z.H. Chai, B.C. Shi, Z.L. Guo, and T. Zhang. Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows. Physical Review E; 90(2014):063311.

• 24. Xuguang Yang, Baochang Shi, and Zhenhua Chai. Coupled lattice Boltzmann method for generalized Keller–Segel chemotaxis model. Computers and Mathematics with Applications; 68(2014):1653-1670.

• 25. L. An, T.S. Zhao, Z.H. Chai, P. Tan, and L. Zeng. Mathematical modeling of an anion-exchange membrane water electrolyzer for hydrogen production. International Journal of Hydrogen Energy; 39(2014):19869-19876.

• 26. Qiuxiang Li, Zhenhua Chai, Baochang Shi, and Hong Liang. Deformation and breakup of a liquid droplet past a solid circular cylinder: A lattice Boltzmann study. Physical Review E; 90(2014):043015.

• 27. Xuguang Yang, Baochang Shi, and Zhenhua Chai, Zhaoli Guo. A coupled lattice Boltzmann method to solve Nernst-Planck model for simulating electro-osmotic flows. Journal of Scientific Computing; 61(2014):222-238.

• 28. Qianhuan Li, Zhenhua Chai, and Baochang Shi. An efficient lattice Boltzmann model for steady convection-diffusion equation. Journal of Scientific Computing; 61(2014):308-326.

• 29. Xuguang Yang, Baochang Shi, and Zhenhua Chai. Generalized modification in the lattice Bhatnagar-Gross-Krook model for incompressible Navier-Stokes equations and convection-diffusion equation. Physical Reivew E; 90(2014):013309.

• 30. Junhui Chen, Zhenhua Chai, Baochang Shi, and Wenhuan Zhang. Lattice Boltzmann method for filtering and contour detection of the natural images. Computers and Mathematics with Applications; 68(2014):257-268.

• 31. Zhenhua Chai and T.S. Zhao. Non-equilibrium scheme for computing the flux of the convection-diffusion equation in the framework of lattice Boltzmann method. Physical Review E; 90(2014):013305.

• 32. H. Liang, B.C. Shi, Z.L. Guo, and Z.H. Chai, Phase-field multiple-relaxation-time lattice Boltzmann model for incompressible multiphase flows, Physical Review E, 89: 053320 (2014).

• 33. L. An, T.S. Zhao, Z.H. Chai. L. Zeng, and P. Tan. Modeling of the mixed potential in hydrogen peroxide-based fuel cells. International Journal of Hydrogen Energy; 39(2014): 7407-7416.

• 34. Qiuxiang Li, Ning Hong, Baochang Shi, and Zhenhua Chai. Simulation of power-law fluid flows in two-dimensional square cavity using multi-relaxation-time lattice Boltzmann method. Communications in Computational Physics; 15(2014):265-284.

• 35. L. An, Z. H. Chai, L. Zeng, P. Tan, and T. S. Zhao. Mathematical modeling of alkaline direct ethanol fuel cells. International Journal of Hydrogen Energy; 38(2013):14067-14075.

• 36. Zhenhua Chai and T. S. Zhao. Lattice Boltzmann model for the convection-diffusion equation. Physical Review E; 87(2013):063309.

• 37. Wenhuan Zhang, Zhenhua Chai, Baochang Shi, and Zhaoli Guo. Lattice Boltzmann study of flow and mixing characteristics of two-dimensional confined impinging streams with uniform and non-uniform inlet jets. Computers and Mathematics with Applications; 65(2013):638-647.

• 38. Wenhuan Zhang, Zhenhua Chai, Zhaoli Guo, and Baochang Shi. Lattice Boltzmann study of flow and temperature structures of non-isothermal laminar impinging streams. Communications in Computational Physics; 13(2013):835-850.

• 39. Changsheng Huang, Zhenhua Chai, and Baochang Shi. Non-Newtonian effect on hemodynamic characteristics of blood flow in stented cerebral aneurysm. Communications in Computational Physics; 13(2013):916-928.

• 40. Zhenhua Chai and T. S. Zhao. Effect of the forcing term in the multiple-relaxation-time lattice Boltzmann equation on the shear stress or the strain rate tensor. Physical Review E; 86(2012):016705.

• 41. Zhenhua Chai and T. S. Zhao. A pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent/multiphase flows. Acta Mechanica Sinica; 28(2012):983-992.

• 42. Ting Zhang, Baochang Shi, Zhaoli Guo, Zhenhua Chai, and Jianhua Lu. General bounce-back scheme for concentration boundary condition in the lattice Boltzmann method. Physical Review E; 85(2012):016701. Corrigendum, 88(2013):029903.

• 43. Ting Zhang, Baochang Shi, Zhenhua Chai, and Fumei Rong. Lattice BGK model for incompressible axisymmetric flows. Communications in Computational Physics; 11(2012):1569-1590.

• 44. Hongyan Du, Zhenhua Chai, and Baochang Shi. Lattice Boltzmann study of mixed convection in a cubic cavity. Communications in Theoretical Physics; 56(2011):144-150.

• 45. Jianhua Lu, Zhenhua Chai, Baochang Shi, Zhaoli Guo, and Guoxiang Hou. Rectangular lattice Boltzmann model for nonlinear convection-diffusion equations. Philosophical Transactions of the Royal Society A; 369(2011):2311-2319.

• 46. Zhenghua Wang, Baochang Shi, Xiuqiao Xiang, Zhenhua Chai, and Jianhua Lu. Lattice Boltzmann method for n-dimensional nonlinear hyperbolic conservation laws with the source term; Chaos; 21(2011):013120.

• 47. Zhenhua Chai, Jianhua Lu, Baochang Shi, and Zhaoli Guo. Gas slippage effect on the permeability of circular cylinders in a square array. International Journal of Heat and Mass Transfer; 54(2011):3009-3014.

• 48. Zhenhua Chai, Baochang Shi, Zhaoli Guo, and Fumei Rong. Multiple-relaxation-time lattice Boltzmann model for generalized Newtonian fluid flows. Journal of Non-Newtonian Fluid Mechanics; 166(2011):332-342.

• 49. Fumei Rong, Zhaoli Guo, Zhenhua Chai, and Baochang Shi. A lattice Boltzmann model for axisymmetric thermal flows through porous media. International Journal of Heat and Mass Transfer; 53(2010):5519-5527.

• 50. Ting Zhang, Baochang Shi, and Zhenhua Chai. Lattice Boltzmann simulation of lid-driven flow in trapezoidal cavities. Computers & Fluids; 39(2010):1977-1989.

• 51. Zhenhua Chai, Baochang Shi, Jianhua Lu, and Zhaoli Guo. Non-Darcy flow in disordered porous media: A lattice Boltzmann study. Computers & Fluids; 39(2010):2069-2077.

• 52. Zhenhua Chai, Baochang Shi, Zhaoli Guo, and Jianhua Lu. Gas flow through square arrays of circular cylinders with Klinkenberg effect: A lattice Boltzmann study. Communications in Computational Physics; 8(2010):1052-1073.

• 53. Jianhua Lu, Zhaoli Guo, Zhenhua Chai, and Baochang Shi. Numerical study on the tortuosity of porous media via lattice Boltzmann method. Communications in Computational Physics; 6(2009):354-366.

• 54. Zhenhua Chai, Zhaoli Guo, Lin Zheng, and Baochang Shi. Lattice Boltzmann simulation of surface roughness effect on gaseous flow in a microchannel. Journal of Applied Physics; 104(2008):014902.

• 55. Zhenhua Chai and Baochang Shi. A novel lattice Boltzmann model for the Poisson equation. Applied Mathematical Modelling; 32(2008):2050-2058.

• 56. Zhenhua Chai, Baochang Shi, and Lin Zheng. A unified lattice Boltzmann model for some nonlinear partial differential equations. Chaos, Solitons and Fractals; 36(2008):874-882.

• 57. Zhenhua Chai, Baochang Shi, and Lin Zheng. Lattice Boltzmann simulation of viscous dissipation in electro-osmotic flow in microchannels. International Journal of Modern Physics C; 18(2007):1119-1131.

• 58. Zhenhua Chai, Zhaoli Guo, and Baochang Shi. Study of electro-osmotic flows in microchannels packed with variable porosity media via lattice Boltzmann method. Journal of Applied Physics; 101(2007):104913.

• 59. Zhenhua Chai and Baochang Shi. Simulation of electro-osmotic flow in microchannel with lattice Boltzmann method. Physics Letters A; 364: 183-188 (2007). Corrigendum, 367: 507 (2007).

• 60. Lin Zheng, Baochang Shi, and Zhenhua Chai. Lattice Boltzmann method for simulating the temperature jump and velocity slip in microchannels. Communications in Computational Physics; 2(2007):1125-1138.

• 61. Lin Zheng, Baochang Shi, and Zhenhua Chai. TLBM model for the viscous heat dissipation in incompressible limit. International Journal of Modern Physics B; 21 (2007):117-126.

• 62. Zhenhua Chai, Baochang Shi, and Lin Zheng. Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method. Chinese Physics; 15(2006):1855-1863.

Awards:

2013 Huazhong Scholar

2012 Hong Kong Scholars Award

2010 Excellent Ph.D. Thesis, Hubei Province

Courses Taught

Functions of a Complex Variable and Integral Transforms

Numerical Analysis

Project

1. National Natural Science Foundation of China: 515760795, Lattice Boltzmann method for the transport mechanism of multicomponent gas in microscale porous media, 2016/01—2019/12 (PI: Prof. Zhenhua Chai)

2. National Natural Science Foundation of China: 51006040, Lattice Boltzmann method for the transport mechanism of multiphase flow in low-permeability porous media, 2011/01—2013/12 (PI: Prof. Zhenhua Chai)

3. National Natural Science Foundation of China: 10972087, Lattice Boltzmann models for microscale gas mixtures and its applications, 2010/01—2012/12 (PI: Prof. Zhaoli Guo)

4. National Natural Science Foundation of China: 60773195, Lattice Boltzmann modeling and simulations of complex flows, 2008/01—2010/12 (PI: Prof. Baochang Shi)

5. National Natural Science Foundation of China: 50606012, Lattice Boltzmann method for microscale gas flows and heat transfer, 2007/01—2009/12 (PI: Prof. Zhaoli Guo)

6. National Basic Research Program of China (973) (Sub-Project): 2011CB707305, Numerical study of carbon dioxide miscible flooding in low-permeability porous media, 2011/01—2015/12 (PI: Prof. Zhaoli Guo)

7. National Basic Research Program of China (973) (Sub-Project): 2006CB705804, Mesoscopic lattice Boltzmann method for microscopic and macroscopic laws of carbon dioxide flooding, 2006/01—2010/12 (PI: Prof. Zhaoli Guo).

8. China Postdoctoral Science Foundation: 2012M521424, Numerical study on the microscopic mechanics of carbon dioxide flooding in low-permeability porous media, 2012/11—2014/11 (PI: Prof. Zhenhua Chai).

9. China Postdoctoral Science Foundation: 201104467, Mass Transport in the Electrode of Fuel Cells, 2011/12—2013/12 (Special Grant of China Postdoctoral Science Foundation, PI: Prof. Zhenhua Chai)

10. Natural Science Foundation of Hubei Province: 2015CFB440, Lattice Boltzmann method for the transport mechanisms of shale gas, 2015/01—2016/12 (PI: Prof. Zhenhua Chai).