文档介绍：万方数据Nanjing University of Aeronautics and AstronauticsThe Graduate SchoolCollege of Aerospace EngineeringNumerical Simulationof Gas-Liquid Two-Phase Flow Based on VOF MethodA Thesis inFluid DynamicsbyDai DezhiAdvised byProf. Xia JianSubmitted in Partial Fulfillmentof the Requirementsfor the Degree ofMasterofEngineeringJanuary, 2014万方数据万方数据承诺书本人声明所呈交的硕士学位论文是本人在导师指导下进行的研究工作及取得的研究成果。除了文中特别加以标注和致谢的地方外,论文中不包含其他人已经发表或撰写过的研究成果,也不包含为获得南京航空航天大学或其他教育机构的学位或证书而使用过的材料。本人授权南京航空航天大学可以将学位论文的全部或部分内容编入有关数据库进行检索,可以采用影印、缩印或扫描等复制手段保存、汇编学位论文。(保密的学位论文在解密后适用本承诺书)作者签名:日期:万方数据万方数据南京航空航天大学硕士学位论文i摘要本文首先简要介绍了不可压流动和两相流动求解算法的发展历史,并分析比较了各个算法的优缺点。基于计算精度和求解效率的考量,本文最终选取基于同位网格技术和有限体积法的SIMPLE算法和VOF方法对两相流动进行数值模拟。为解决重力作用下不可压流动的求解难题,本文提出一种适用于单相流动的新的压力插值格式,并使用大Rayleigh数方腔内部自然对流等标准算例对新的压力插值格式进行了验证,得到的数值结果与公认数据非常吻合。在分析比较了几种主要算法的优缺点后,本文采用SLIC几何重构方法计算单元表面处的VOF通量,并使用同心双运动界面和圆形运动界面两个标准算例对SLIC方法进行了验证,得到了满意的结果。为精确计算两相流动中流体界面附近单元中的压力梯度,本文提出重力加权压力插值格式,并使用溃坝、瑞利-泰勒不稳定流动等标准算例验证了重力加权格式的有效性。最后,基于本文已取得的研究成果,提出了几个可以进行改进的研究方向。关键词:不可压流动,两相流动,VOF方法,SIMPLE算法,同位网格,SLIC方法,重力加权格式万方数据基于VOF方法的气-液两相流动的数值计算iiAbstractFirstly, the development history of numerical algorithms for pressible flows and two-phase flows was introduced briefly in this paper and these algorithms were analyzed about their merits and demerits. Based on the calculation accuracy and computational efficiency considerations, SIMPLE algorithm which was based on collocated meshes and finite volume method and VOF method were chosen as the solver of the gas-liquid two-phase flows. A new pressure interpolation scheme was proposed to e putation difficulty of single-phase flows with gravitational force and a high Rayleigh number square cavity natural convection flow has been carried out to examine the accuracy of this new pressure interpolation scheme. Based on the strengths and weaknesses of several important algorithms, SLIC geometric reconstruction method was adopted to calculate the VOF flux through each cell's face and two typ