[1] Ying Chen, Xi Liu, Zhenhua Chai* and Baochang Shi. Macroscopic finite-difference scheme and modified equations of the general propagation multiple-relaxation-time lattice Boltzmann model. Physical Review E, 2024, 109: 065305.

[2] Ying Chen, Zhenhua Chai*, and Baochang Shi. A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and its macroscopic finite-difference scheme for two-dimensional diffusion equations. Journal of Computational Physics, 2024, 509: 113045.

[3] Xi Liu, Ying Chen, Zhenhua Chai* and Baochang Shi. Macroscopic finite-difference scheme based on the mesoscopic regularized lattice-Boltzmann method. Physical Review E, 2024, 109: 025301.

[4] Chengjie Zhan, Zhenhua Chai*, and Baochang Shi. A ternary phase-field model for two-phase flows in complex geometries. Physica D, 2024, 460: 134087.

[5] Fang Shan, Zhenhua Chai*, and Baochang Shi. Auto-ejection of liquid from a nozzle, Physical Review E, 2024, 109, 045302.

[6] Yawen Deng, Xi Liu, Chengjie Zhan, Zhenhua Chai* and Baochang Shi. The dynamics of the droplet impact and rebound: A lattice Boltzmann study. European Journal of Mechanics/B Fluids, 2024, 105: 313-326.

[7] Yao Wu, Zhenhua Chai, Xiaolei Yuan, Xiuya Guo and Baochang Shi*. A discrete Hermite moments based multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations. Computers & Mathematics with Applications, 2024, 156: 218-238.

[8] Baihui Chen,Chengjie Zhan,Zhenhua Chai* and Baochang Shi. Phase-field-based lattice Boltzmann method for two-phase flows with interfacial mass or heat transfer. Physical Review E, 2024, 110(1): 015307.

[9] Xiaofeng Yang, Jiao Liu, Fang Shan,Zhenhua Chai* and Baochang Shi.Motion of a circular particle in the power-law lid-driven cavity flow. Acta Physica Sinica, 73, 144701 (2024) DOI: 10.7498/aps.73.20240164.

[10] Xi Liu,Zhenhua Chai,Baochang Shi, Xiaolei Yuan. Consistent and conservative lattice Boltzmann method for axisymmetric multiphase electrohydrodynamic flows. Physica D: Nonlinear Phenomena, 2024: 134294.

[11] Huang J, Wang L, Chai Z, et al. Phase-field-based lattice Boltzmann method for containerless freezing[J]. Physical Review E, 2024, 110(3): 035301.

[12] Yuhao Huang, Qilin Liu, Zhenhua Chai, Binghai Wen, Isotropic optimizations of finite difference discretization, Computers & Mathematics with Applications, 168: 190-206 (2024).

[13] Jiao Liu, Zhenhua Chai, and Baochang Shi, An improved diffuse-interface lattice Boltzmann method for particulate flows, Communications in Computational Physics, 35: 1309-1326 (2024). 

[14] 赖瑶瑶, 陈鑫梦, 柴振华, 施保昌, 基于格子Boltzmann方法的钉扎螺旋波反馈控制研究, 物理学报, 73: 040502 (2024).

[15] Jinyi Wu, Dongke Sun, Wei Chen, and Zhenhua Chai, A unified lattice Boltzmann-phase field scheme for simulations of solutal dendrite growth in the presence of melt convection, International Journal of Heat and Mass Transfer, 220: 124958 (2024).

[16] Junjie Hu, Huagang He, Lei Wang, Huili Wang, Zhenhua Chai, Hui Pan, Motion of a neutrally buoyant circular particle in a lid-driven square cavity with a semicircular obstacle, International Journal of Modern Physics C, 35: 2450004 (2024).