尺度自适应的离散统一气体动理学格式及在可压缩流动中的应用

许丁; 孙祥; 刘欣

doi:10.7638/kqdlxxb-2018.0158

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尺度自适应的离散统一气体动理学格式及在可压缩流动中的应用

研究论文 | 更新时间：2026-05-28

- 尺度自适应的离散统一气体动理学格式及在可压缩流动中的应用
- A scale adaptive discrete unified gas kinetic scheme and its application to compressible gas flows
- 空气动力学学报 2020年38卷第2期页码：232-243
- 作者机构：
  
  1. 西安交通大学航天航空学院, 机械结构强度与振动国家重点实验室,西安,710049
  2. 陕西省先进飞行器服役环境与控制重点实验室,西安,710049
- 作者简介：
  
  许丁*(1980-), 男, 陕西西安人, 副教授, 研究方向:计算流体力学.E-mail:dingxu@xjtu.edu.cn
- 基金信息：
  
  国家973计划项目（2013CB305702）;中央高校基本科研业务费专项资金资助
- DOI：10.7638/kqdlxxb-2018.0158
  中图分类号： O357
- 纸质出版：2020
- 稿件说明：
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许丁, 孙祥, 刘欣. 尺度自适应的离散统一气体动理学格式及在可压缩流动中的应用[J]. 空气动力学学报, 2020, 38(2): 232-243.

XU Ding, SUN Xiang, LIU Xin. A scale adaptive discrete unified gas kinetic scheme and its application to compressible gas flows[J]. 2020, 38(2): 232-243.
许丁, 孙祥, 刘欣. 尺度自适应的离散统一气体动理学格式及在可压缩流动中的应用[J]. 空气动力学学报, 2020, 38(2): 232-243. DOI： 10.7638/kqdlxxb-2018.0158.

XU Ding, SUN Xiang, LIU Xin. A scale adaptive discrete unified gas kinetic scheme and its application to compressible gas flows[J]. 2020, 38(2): 232-243. DOI： 10.7638/kqdlxxb-2018.0158.

摘要

基于Boltzmann-Shakhov模型方程，建立其沿特征线离散的一般形式，离散过程中对于碰撞项的处理采用显式和隐式加权平均的方法，其中权系数依赖于当地努森数，可根据当地流动尺度不同进行自适应调节。通过权系数的引入，对文献现有离散统一气体动理学格式进行改进，发展出具有尺度自适应特性的离散统一气体动理学格式（Scale Adaptive Discrete Unified Gas Kinetic Scheme，SADUGKS）。将SADUGKS格式应用于若干典型可压缩流动，对格式的有效性和尺度自适应特性进行了检验，所得数值结果与文献已有结果吻合较好，表明SADUGKS格式是一种求解宽范围努森数变化、跨流域多尺度流动问题的有效算法。

Abstract

A general discretization of Boltzmann-Shakhov model equation along the characteristic line is obtained

where the time integration of collision term is handled as a weighted average between the implicit and explicit part. Moreover

the value of weight factor depends on the local Knudsen number

which represents the local flow regime and scale. With the aid of this weight factor

a scale adaptive discrete unified gas kinetic scheme (SADUGKS) has been developed as an improvement of the existing discrete unified gas kinetic scheme (DUGKS). Some typical compressible flows in different flow regimes are numerically simulated to demonstrate the validity and the property of scale adaption of SADUGKS. It turns out that the present SADUGKS is a valid numerical method for multiscale flow problems.

关键词

Keywords

references

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