CAJ | 학술논문

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。
이용수향평균천수방정모형묘술점소성류체적운동，병기우전절류동구절응력분포여명거균균층류절응력분포상등적가정，추도료천수방정중절응력항적마조계수표체식。건립료점소성류체운동평면이유비결구화망격수치모형，공간리산채용유한체적법현식구해，시간적분채용구유이계정도적 Runge-Kutta 격식구해。수치모형모의결과여이유점소성류체류동실험결과진행료비교，이자유교호적일치성。
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.