移动边界的有限体积KFVS方法在一维溃坝波计算中的应用

本文从Boltzmaun方程出发,采用有限体积KFVS(Kinetic flux-vector splitting)方法,对微观粒子的速度分布进行组合,给出了模拟河道洪水演进时干湿交界处移动边界的一种新方法。并成功地模拟了大坝下游为干河道的一维溃坝模型,通过和精确解的比较得出,此方法在处理河道移动边界问题上是成功和有效的。

一致高精度KFVS方法用于多分量流的计算

This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative equation. Next, based on the well-known connection between the Euler equations and Boltzmann equations, a class of high resolution KFVS methods are presented to solve numerically multicomponent flows. Our method does not solve any Riemann problems, and add any nonconservative corrections. The numerical results are also presented to show the accuracy and robustness of our methods. These include one-dimensional shock tube problem, and two-dimensional interface motion in compressible flows. The computed solutions are oscillation-free near material fronts, and produce correct shock speeds.

以Maxwell-Boltzmann分布函数为基础的流矢量分裂方法

将以微观气体分子运动论为基础的流矢量分裂法和二时间步的算法相结合 ,用于计算无粘理想气体流动 .方程中的流矢量按局部平衡的Maxwell Boltzmann分布函数分解 .3个一维的算例给出了激波、接触间断和稀疏波的计算结果 。