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七方程可压缩多相流模型的HLLC格式及应用

梁姗 刘伟 袁礼

梁姗, 刘伟, 袁礼. 七方程可压缩多相流模型的HLLC格式及应用[J]. 力学学报, 2012, 44(5): 884-895. doi: 10.6052/0459-1879-12-022
引用本文: 梁姗, 刘伟, 袁礼. 七方程可压缩多相流模型的HLLC格式及应用[J]. 力学学报, 2012, 44(5): 884-895. doi: 10.6052/0459-1879-12-022
Liang Shan, Liu Wei, Yuan Li. AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 884-895. doi: 10.6052/0459-1879-12-022
Citation: Liang Shan, Liu Wei, Yuan Li. AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 884-895. doi: 10.6052/0459-1879-12-022

七方程可压缩多相流模型的HLLC格式及应用

doi: 10.6052/0459-1879-12-022
基金项目: 国家自然科学基金(10972230,11021101)和国家重点基础研究发展计划(2009CB731505)资助项目.
详细信息
    通讯作者:

    袁礼

  • 中图分类号: O359+.1

AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW

Funds: The project was supported by the National Natural Science Foundation of China (10972230,11021101) and National Basic Research Program of China (2009CB731505).
  • 摘要: 针对Saurel和Abgrall提出的两速度两压力的七方程可压缩多相流模型,改进了其数值解法并应用于模拟可压缩多介质流动问题.在Saurel等的算子分裂法基础上,根据Abgrall的多相流系统应满足速度和压力的均匀性不随时间改变的思想,推导了与HLLC格式一致的非守恒项离散格式以及体积分数发展方程的迎风格式.进一步,通过改变分裂步顺序,构造了稳健的结合算子分裂的三阶TVD龙格-库塔方法.最后通过几个一维和二维高密度比高压力比气液两相流算例,显示了该方法在计算精度和稳健性上的改进效果.

     

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出版历程
  • 收稿日期:  2012-01-12
  • 修回日期:  2012-03-06
  • 刊出日期:  2012-09-18

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