二相流双流体模型的数值求解方法研究

【作者】 李强；

【导师】 封建湖；

【作者基本信息】 西北工业大学 ， 计算数学， 2002， 硕士

【摘要】 二相流在日常生活和生产实践中随处可见，对二相流问题进行研究具有重要的理论意义和实用价值。迄今为止，有关二相流数值模拟过程中双流体模型的研究还不是很成熟，多数工作尚属于探索性的，本文的工作则主要针对这一问题展开。 首先对二相流的定义、现象、研究的重要意义及二相流的数学模型进行了简要综述。然后对Toumi提出的求解二相流的线性化格式进行了研究，确定了所用的积分路径，编制了计算程序，并对激波管内两相流动过程进行了数值模拟。最后用Lax—Friedrichs格式及HLLC格式作为通量函数对守恒一维Euler型方程组进行了离散，并将数值模拟结果和Saurel的HLL格式模拟结果进行了比较，发现：在两相流数值模拟过程中，相对来说HLLC格式对激波的分辨率最高，结果最稳定，避免了HLL格式在间断处的非物理性数值振荡。克服了Lax—Friedrichs格式间断分辨过渡区较大的缺陷。更多还原

【Abstract】 In our daily life and industrial process there are much two phase flow phenomena. Researches in this field have theoretical and application values. By now, numerical simulation of two fluid model is still in its infancy, and our work are on this subject.First, a brief summary of the definition phenomena importance and mathematical model of two fluid model is presented. Based on the theory presented by Toumi, several integral paths are selected and with linearized scheme numerical simulations of two-phase flow in the shock tube are done for investigating the effects on integral paths. And finally, with HLLC and Lax-Friedrichs type approximate Riemann solver for discretising conservative equations and a nonconservative equation, a simple accurate and fully Eulerian numerical method is presented. Compared with the numerical results of HLL scheme, the HLLC scheme has a high resolution for shock waves and avoiding the nonphysical oscillation of the HLL scheme.更多还原