计算流体力学；偏微分方程数值解

[1] Jian-Jun Xu, Weidong Shi, Wei-Fan Hu, Jun-Jie Huang, A level-set immersed interface method for simulating the electrohydrodynamics, J. Comput. Phys., 400(2020) 108956

[2] Jian-Jun Xu, Level-set method for two-phase flows with surfactant, Scholars’ press, Mauritius, 2018

[3] Jian-Jun Xu, Weidong Shi,Min-Chih Lai, A level-set method for two-phase flows with soluble surfactant, J. Comput. Phys.,353(2018) 336-355 

[4] Weidong Shi, Jianjun Xu, Shi Shu, An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces, Adv.Appl.Math. Mech., 9(2017) 1364-1382

[5] Jian-Jun Xu, Yunqing Huang, Ming-Chih Lai and Zhilin Li, A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant, Commun. Comput. Phys., 15(2014)451-469

[6] Jian-Jun Xu, Weiqing Ren,  A level-set method for two-phase flows with moving contact line and insoluble surfactant, J. Comput. Phys., 263 (2014) 71–90 

[7] Jian-Jun Xu, Yin Yang, J. Lowengrub, A level-set method for two-phase flows with insoluble surfactant, J. Comput. Phys., 231(2012) 5897-5909 

[8] Jian-Jun Xu, Z. Li, J. Lowengrub, H. Zhao, A level-set method for interfacial flows with surfactant, J. Comput. Phys., 212(2006)590-616

[9] Jian-Jun Xu, H. Zhao, An Eulerian formulation for solving PDEs along a moving interface, J.  Sci. Comput., 19(2003) 573-594 

1. 国家重大科技专项，三峡库区水生态环境感知系统及平台业务化运行”，参与

2. 国家自科重点基金项目，相场高精度数值方法研究，参与