姓名：赵晓龙

职务/职称：硕士生导师/讲师

研究领域：计算流体力学，高精度间断有限元方法，偏微分方程数值解

邮箱：xiaolongzhao109@zzu.edu.cn

简要经历

l 教育经历：

(1) 2010-09 至 2014-06, 郑州大学数学与统计学院, 信息与计算科学, 学士

(2) 2014-09 至 2017-06, 郑州大学数学与统计学院, 计算数学, 硕士，导师：宋士仓教授

(3) 2017-09 至 2021-06, 中国工程物理研究院北京计算科学研究中心, 计算数学, 博士，导师：蔚喜军研究员

l 博士后工作经历：

(1) 2022-03 至 今, 郑州大学数学博士后流动站，合作导师：石东洋教授

l 科研与学术工作经历：

(1) 2021-12 至 今, 郑州大学, 数学与统计学院, 讲师

主要项目

(1) 国家自然科学基金会, 国家自然科学青年基金,《柱坐标系下可压缩多介质流的高精度保结构ALE间断有限元方法研究》, 2026-01 至 2028-12, 主持

(2) 国家国防科技工业局，计算物理全国重点实验室青年基金,《可压缩多介质流的高精度保结构ALE间断有限元方法研究》, 2024-10 至 2026-10, 主持

(3) 中国博士后科学基金会, 中国博士后科学基金第74批面上资助,《二维柱坐标系下可压缩多介质流的高精度无振荡ALE间断有限元方法研究》, 2023-11 至 2025-11, 主持

(4) 河南省科学技术厅，河南省自然科学基金青年项目, 《可压缩多介质流欧拉方程的高精度ALE间断有限元方法研究》, 2024-02 至 2026-02, 主持

(5) 国家自然科学基金委员会, 面上项目,《自适应非结构网格辐射磁流体力学间断有限元方法研究》, 2021-01 至 2024-12, 参与

(6) 国家自然科学基金委员会，面上项目,《液晶动力学模型高阶时空数值模拟方法》, 2023-01 至 2026-12, 参与

奖励

(1)  2016年11月，“第十三届全国研究生数学建模竞赛一等奖”

论文

1) X. Zhao, X. Yu, et al. A physical-constraints-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme on adaptive quadrilateralmeshes for compressible multi-material flows. J. Comput. Phys., 528(2025):113816.

2) X. Zhao, X. Yu, M. Duan, F. Qing and S. Zou. An arbitrary Lagrangian-Eulerian RKDG method for compressible Euler equations on unstructured meshes: single-material flow. J. Comput. Phys., 396(2019): 451-469.

3) X. Zhao, X. Yu, F. Qing and S. Zou, et al. A high-order physical-constraints-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for one-dimensional compressible multi-material flows. Phys. Fluids, 36(2024)

4) X. Zhao, X. Yu, F. Qing and S. Zou, et al. A physical-constraints-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme on adaptive unstructured meshes for two-component flows. Phys. Fluids, 37(2025)073348.

5) X. Zhao, X. Yu,M. Qiu, F. Qing and S. Zou. An arbitrary Lagrangian-Eulerian RKDG method for multi-material flows on adaptive unstructured meshes. Comput. Fluids, 207(2020): 104589.

6) X. Zhao, C. Huang, X. Yu, S. Zou and F. Qing. An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for two-dimensional compressible flows on adaptive quadrilateral meshes. Int. J. Numer. Meth. Fl., 95(2023): 796-819.

7) X. Zhao, S. Song, X. Yu, S. Zou and F. Qing. An arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for compressible multi-material flows on adaptive quadrilateral meshes. Commun. Comput. Phys., 35(2024): 107-138.

8) X. Zhao, D. Shi, X. Yu and S. Zou, et al. A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates. Comput. Math. Appl. 170(2024):95-115.

9) X. Zhao, X. Yu, Z. Jia, S. Zou and M. Qiu. A vertex-centered arbitrary Lagrangian-Eulerian finite volume method with sub-cells for two-dimensional compressible flow. Adv. Appl. Math. Mech., 16(2024): 181-207.

10) X. Zhao, D. Shi, S. Song and S. Zou. A high-order limiter-free arbitrary Lagrangian--Eulerian discontinuous Galerkin scheme for compressible multi-material flows. Appl. Math. Lett., 153(2024)109076.

11) X. Zhao, X. Yu, S. Song, S. Zou and F. Qing. A Lagrangian discontinuous Galerkin scheme for the compressible Euler equations on unstructured triangular meshes. Numer. Math. Theor. Meth. Appl., 17(2024):1074-1099.

12) X. Zhao, X. Yu, S. Song, S. Zou and F. Qing. A high-order arbitrary Lagrangian-Eulerian oscillation-free discontinuous Galerkin scheme for one-dimensional compressible multi-material flows. E. Asian. J. Appl. Math., (2024).

13) X. Zhao, M. Qiu,X.Yu, F. Qing and S. Zou. A second-order RKDG method for Lagrangian compressible Euler equations on unstructured triangular meshes. Acta. Math. Sci.(Series A), 40(2020): 1354-1361.

14)  M. Li, X. Zhao*, et al. Variable-time-step weighted IMEX FEMS for nonlinear evolution equations. Appl. Numer. Math., 211(2025): 123-143.

15) S. Zou, X. Zhao, X. Yu and Z. Dai. A RKDG method for 2D Lagrangian ideal magnetohydrodynamics equations with exactly divergence-free magnetic field. Commun. Comput. Phys., 32(2022): 547-582.

16) M. Qiu, F. Qing, X. Yu, J. Hou, D. Li and X. Zhao. Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions, Comput. Math. Appl., 141(2023): 221-241.

17) F. Qing, X. Yu, Z. Jia, M. Qiu and X. Zhao. A high-order cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method. Commun. Comput. Phys., 28(2020): 1464-1501.

18) S. Zou, X. Yu, Z. Dai, F. Qing and X. Zhao. A partial RKDG method for solving the 2D ideal MHD equations written in semi-Lagrangian formulation on moving meshes with exactly divergence-free magnetic field. Adv. Appl. Math. Mech., 15(2023): 932-963.

19) 卿芳, 蔚喜军, 赵晓龙, 邹世俊, 贾祖朋. 一种中心型间断有限元MMALE方法. 空气动力学学报, 39(2021): 25-36.