虞培祥
助理研究员所在系所：航空动力研究所
电子邮件：pxyu@sjtu.edu.cn
个人主页：
教育背景
2008-2013复旦大学流体力学专业博士
2004-2008复旦大学理论与应用力学专业学士
工作经历
2013-2016 复旦大学数学科学学院 博士后
研究方向
1、计算流体力学
2、计算气动声学
3、磁流体力学
科研项目
1、2016-2018 国家自然科学基金青年科学基金项目，“磁场作用下液态金属双扩散对流系统的稳定性研究”，负责人
2、2014-2016 中国博士后科学基金面上资助（一等），“不可压磁流体湍流直接数值模拟的高精度差分算法研究”，负责人
3、2014-2017 国家自然科学基金面上项目，“磁场作用下导电流体流动与传热问题的高精度数值方法与数值模拟”主要参与人；
4、2014-2016 国家自然科学基金重大研究计划培育项目，“非定常不可压磁流体力学方程组的显式算法及其应用研究”，主要参与人；
5、2011-2013 教育部高校博士学科点专项科研基金(博导类)项目，“基于流函数-速度NS方程的双扩散对流系统高精度紧致格式研究”，主要参与人；
6、2011-2013 国家自然科学基金青年科学基金项目，“基于录像资料的交通流实测与应用研究”，主要参与人；
7、2010-2012 国家自然科学基金面上项目，“非定常不可压流的显式紧致算法研究”主要参与人。
代表性论文专著
1. Chen J, Yu P*, Tian ZF, Ouyang H. A high-order compact scheme for solving the 2D steady incompressible Navier-Stokes equations in general curvilinear coordinates[J]. International Journal for Numerical Methods in Fluids, 2019, doi: 10.1002/fld.4791.
2. Yu PX, Tian ZF. A high-order compact scheme for the pure streamfunction (vector potential) formulation of the 3D steady incompressible Navier–Stokes equations[J]. Journal of Computational Physics, 2019, 382: 65-85.
3. Yu PX, Tian ZF. An upwind compact difference scheme for solving the streamfunction–velocity formulation of the unsteady incompressible Navier–Stokes equation[J]. Computers & Mathematics with Applications, 2018, 75(9): 3224-3243.
4. Yu PX, Tian ZF, Ying AY, Abdou MA. Stream function-velocity-magnetic induction compact difference method for the 2D steady incompressible full magnetohydrodynamic equations[J]. Computer Physics Communications, 2017, 219: 45-69.
5. Yu PX, Xiao Z, Wu S, Tian ZF, Cheng X. High accuracy numerical investigation of double-diffusive convection in a rectangular cavity under a uniform horizontal magnetic field and heat source[J]. International Journal of Heat and Mass Transfer, 2017, 110: 613-628.
6. Yu PX, Tian ZF, Zhang H. A rational high-order compact difference method for the steady-state stream function–vorticity formulation of the Navier–Stokes equations[J]. Computers & Mathematics with Applications, 2017, 73(7): 1461-1484
7. Yu PX, Tian ZF. Comparison of the simplified and full MHD models for laminar incompressible flow past a circular cylinder[J]. Applied Mathematical Modelling, 2017, 41: 143-163.
8. Yu PX, Tian ZF. A compact streamfunction–velocity scheme on nonuniform grids for the 2D steady incompressible Navier–Stokes equations[J]. Computers & Mathematics with Applications, 2013, 66(7): 1192-1212.
9. Yu PX, Qiu JX, Qin Q, Tian ZF. Numerical investigation of natural convection in a rectangular cavity under an inclined uniform magnetic field[J]. International Journal of Heat and Mass Transfer, 2013,67: 1131-1144.
10. Yu PX, Tian ZF. A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinates[J]. Journal of Scientific Computing, 2013, 56(1): 165-189.
11. Yu PX, Tian ZF. Compact computations based on a stream-function--velocity formulation of two-dimensional steady laminar natural convection in a square cavity[J]. Physical Review E, 2012, 85(3): 036703.
12. Tian ZF, Yu PX. An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier-Stokes equations[J]. Journal of Computational Physics, 2011, 230: 6404-6419.
13. Tian ZF, Liang X, Yu PX. A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations[J]. International Journal for Numerical Methods in Engineering, 2011, 88: 511-532.
14. Tian ZF, Yu PX. A high-order exponential scheme for solving 1D unsteady convection--diffusion equations[J]. Journal of Computational and Applied Mathematics, 2011, 235(8): 2477-2491.
15. Tian ZF, Yu PX. High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schr{\"o}dinger equation[J]. Computer Physics Communications, 2010, 181(5): 861-868.
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