国家天元数学东北中心

Tianyuan Mathematical Center in Northeast China

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短课程
“极端条件下多介质辐射流体力学的数学理论与数值方法”短课程 | 多尺度输运过程的建模和数值模拟

  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):

  1. 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.

  2. 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.

  3. 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.

  4. 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).

  5. 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.