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水平集方法数值模拟单液滴的生成过程(英文)

Numerical simulation of hydrodynamics of drop formation by a level set method
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摘要 液滴生成的动力学过程和机理,对溶剂萃取、喷墨打印机设计、飞行器保护等有重要意义。虽然已有很多相关的实验、理论和计算研究,但对涉及拓扑变形界面的该问题研究仍富有挑战性,常用的有限元等模拟方法还有待改进。1988年提出的水平集(Level set)方法,可以比较简方便地模拟多相变形界面问题,已成功用于多相流、结晶、浇铸、模式识别等过程的计算。作者在对水平集方法进行改进并用于相间传质模拟的基础上,本文数值模拟了单个液滴在毛细管口的生长和脱离过程。假设流体均为不可压缩液体或气体作层流流动,采用二维轴对称欧拉坐标和交错网格,利用控制容积法和SIMPLE算法离散求解藕合水平集函数的运动方程组。水平集函数的发展方程和重新初始化方程的空间与时间离散格式,分别采用5阶WENO(Weighted essentially nonoscillatory)和3阶TVD(Total variation diminishing)Runge-Kutta格式。初步计算了不同参数的单液滴在气体或另一不互溶液体中的生成过程,液滴的拓扑形状、两相流场和液滴大小与实验或文献报道的模拟结果基本吻合,为今后拓展模拟三维空间的不稳定运动液滴或气泡生成过程的流动和传递奠定了基础。 A level set method is applied for simulating the formation process of single drops in an immiscible liquid or gasphase. The control volume formulation with the SIMPLE （ semi-implicit method for pressure-linked equations） algorithm incorporated is used to solve the governing equations of incompressible two-phase laminar flow with deformable free interfaceon an axisymmetric staggered Eulerian grid. The shape of a drop growing at a capillary tip and the flow field inside are predicted, and reasonable agreement with the reported computed and experimental results is observed.
作者 杨超 陆平 毛在砂 禹耕之 张广积 陈家镛
机构地区 中国科学院过程工程研究所
出处 《南京工业大学学报（自然科学版）》 CAS 2006年第1期27-33,共7页 Journal of Nanjing Tech University(Natural Science Edition)
基金 ResearchsupportedbytheNationalNaturalScienceFoundationofChina(Nos.20236050,20106016),theNationalBasicResearchProgramofChina(No.2004CB217604)andtheScience&TechnologyNewStarPlanofBeijingMunicipality
关键词 数值模拟 水平集方法 液滴生成 两相流动 numerical simulation level set method drop formation two-phase flow
分类号 TQ015.9 [化学工程]
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参考文献17

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二级参考文献26

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共引文献13

南京工业大学学报（自然科学版）
2006年 第1期

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