CAJ | 학술논문

一维运动波理论常用于坡面汇流和沟道汇流的模拟，根据坡面汇流和沟道汇流的特点，采用不同形式的运动波控制方程组来分别描述坡面汇流和沟道汇流过程。采用MacCormack格式开发了坡面汇流模型，采用线性离散和非线性离散的显式有限差分格式开发了沟道汇流模型，通过3个典型的算例对各模型进行了验证。验证结果表明，开发的沟道汇流模型是成功的；空间步长的尺度对数值解精度有较大影响，步长越小，数值解精度越高；在沟道汇流模型中，线性求解和迭代求解两种方法的计算结果基本一致。
일유운동파이론상용우파면회류화구도회류적모의，근거파면회류화구도회류적특점，채용불동형식적운동파공제방정조래분별묘술파면회류화구도회류과정。채용MacCormack격식개발료파면회류모형，채용선성리산화비선성리산적현식유한차분격식개발료구도회류모형，통과3개전형적산례대각모형진행료험증。험증결과표명，개발적구도회류모형시성공적；공간보장적척도대수치해정도유교대영향，보장월소，수치해정도월고；재구도회류모형중，선성구해화질대구해량충방법적계산결과기본일치。
One-dimensional kinematic wave theory is often used in the simulation of overland concentrated flow and channel flow. According to their characteristics, the processes of overland flow and channel flow are described by different forms of governing equations. MacCormack scheme was used to develop an overland flow model; explicit finite difference schemes with linear discrete and nonlinear discrete method were used to develop channel flow model. Three typical examples were used to test each model. The results demonstrate that the models developed are successful and the scale of spatial interval has great influence on the accuracy of arithmetic solution. Furthermore, the smal er the spatial interval is, the higher the accuracy of arithmetic solution is. In addition, the results of linear solving and iterative solving are almost identical in the model of channel flow.