作为天元数学东北中心“极端条件下多介质辐射流体力学的数学理论与数值方法”主题活动之一,香港科技大学的徐昆教授将在中心开设《多尺度输运过程的建模和数值模拟》短期课程。
授课人:徐昆
课程名称:多尺度输运过程的建模和数值模拟
开课时间:2018年8月13-8月17日
开课地点:吉林大学
学 时:15学时
人 数:40人
预备知识:微积分,线性代数
所需教材:
介绍Navier-Stokes方程和Boltzmann方程的书
课程介绍:
The course will focus on the modeling and numerical computation for multiscale transport. We are going to derive macroscopic Navier-Stokes equations and microscopic Boltzmann equation, and their connections through the Chapman-Enskog expansion and moments equations. Then, we will introduce the construction of multiscale governing equations and the unified gas-kinetic scheme (UGKS). The applications of UGKS in rarefied flow, radiative transfer, plasma physics, and multiphase flow will be presented.
导师介绍:
徐昆,教授,哥仑比亚大学博士,普林斯顿大学博士后。香港科技大学讲座教授,北京大学工学院教授。
研究领域:
计算流体力学数值方法,非平衡稀薄流模拟,构造广义气体动力学方程,计算稀薄和连续流的统一算法,NS方程的高阶计算格式。
学术期刊主编和编委工作:
Advances in Aerodynamics (AIA), Editors-in-Chief
2019-
Communications in Computational Physics, Associate Editor
2006-至今
Computers and Fluids, Associate Editor
2013-至今
International Journal of Computational Fluid Dynamics, Associate Editor
2009-至今
专著:
W.H. Hui and Kun Xu, Computational Fluid Dynamics Based on Unified Coordinates, Science Press, Beijing, 2012.
(统一坐标系下的计算流体力学方法)
Kun Xu, Direct Modeling for Computational Fluid Dynamics: construction and application of unified gas-kinetic Schemes, Series in Advances in Computational Fluid Dynamics, World Scientific, 2015.
(计算流体力学的直接建模方法:统一气体动理学格式的构造和应用)
代表作5篇(总共发表SCI 137篇文章):
C. Liu and K. Xu,"A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-component Plasma Transport", Communications in Computational Physics, Vol. 22 (2017) No. 5, pp. 1175-1223.
L. Pan, K. Xu, Q.B. Li, and J.Q. Li,"An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations", Journal of Computational Physics 326 (2016) 197-221.
Wenjun Sun, Song Jiang, Kun Xu, and Shu Li (2015), "An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer system", J. Comput. Phys. Vol. 302, pp. 222-238.
K. Xu and J.C. Huang (2010), ”A unified gas-kinetic scheme for continuum and rarefied flows”, J. Comput. Physics, vol. 229, pp. 7747-7764 (October).
K. Xu (2001), “A Gas-kinetic BGK Scheme for the Navier-Stokes Equations and Its Connection with Artificial Dissipation and Godunov Method”, J. Comput. Phys. 171, 289-335.