黏塑性流体运动的二维浅水方程模拟  

Simulation of Viscoplastic Fluid Motion Through Two-Dimensional Shallow Water Equations

作　　者：杨小宸[1] 张庆河[1] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2015年第6期520-526,共7页Journal of Tianjin University：Science and Technology

基　　金：国家自然科学基金创新研究群体科学基金资助项目(51321065);教育部高等学校博士学科点专项科研基金资助项目(20120032130001)

摘　　要：利用垂向平均浅水方程模型描述黏塑性流体的运动,并基于剪切流动区切应力分布与明渠均匀层流切应力分布相等的假定,推导了浅水方程中切应力项的摩阻系数表达式.建立了黏塑性流体运动平面二维非结构化网格数值模型,空间离散采用有限体积法显式求解,时间积分采用具有二阶精度的Runge-Kutta格式求解.数值模型模拟结果与已有黏塑性流体流动实验结果进行了比较,二者有较好的一致性.The motion of viscoplastic fluid was simulated using vertically averaged two-dimensional shallow water equations. The friction coefficient of the shear stress term in the equations was derived based on the assumption that the shear stress distribution of viscoplastic fluid in shear flow region equals to that of uniform laminar flow of Newto- nian fluid in the open channel. A two-dimensional, unstructured-grid shallow water numerical model for viscoplastic fluid was developed. The explicit scheme of finite volume method was employed for the spatial dispersion, and the time integration was performed by the second order Runge-Kutta schemes. The model was validated by an experiment of viscoplastic fluid flow and the numerical results exhibit reasonable agreement with measured data.

关 键 词：黏塑性流体 二维浅水方程 摩阻系数 有限体积法 非结构化网格 

分 类 号：TV148.1[水利工程—水力学及河流动力学]