CAJ | 학술논문

根据研究工程、工业废水及生活污水的水环境影响的需要，提出一个平面二维水流-水质有限体积法及黎曼近似解模型。在无结构网格上对偏微分方程进行有限体积的积分离散，把二维问题转化为一系列局部的一维问题进行求解，模型具备有限单元法及有限差分法两者的优点。由于模型采用黎曼近似解计算水量、动量及污染物输运等通量，不仅提高了数值模拟的精度，而且能模拟包括恒定、非恒定或急流、缓流等水流-水质状态。应用若干理想条件下的精确解对模型精度进行了检验，并结合汉江中下游的水质问题验证了模型的实际应用能力。模型计算结果与精确解拟合极好，与汉江中下游实测的污染分布带也相当吻合，为中线南水北调对汉江中下游水质的影响评价提供了依据。
근거연구공정、공업폐수급생활오수적수배경영향적수요，제출일개평면이유수류-수질유한체적법급려만근사해모형。재무결구망격상대편미분방정진행유한체적적적분리산，파이유문제전화위일계렬국부적일유문제진행구해，모형구비유한단원법급유한차분법량자적우점。유우모형채용려만근사해계산수량、동량급오염물수운등통량，불부제고료수치모의적정도，이차능모의포괄항정、비항정혹급류、완류등수류-수질상태。응용약간이상조건하적정학해대모형정도진행료검험，병결합한강중하유적수질문제험증료모형적실제응용능력。모형계산결과여정학해의합겁호，여한강중하유실측적오염분포대야상당문합，위중선남수북조대한강중하유수질적영향평개제공료의거。
A depth-averaged two-dimensional flow-pollutants coupled model is developed to evaluate impacts of industrial effluents and domestic waste on water environment. Developed in the framework of finite volume method on an unstructured grid,the model transfers 2-D problem into solving a series of local 1-D problem. It takes the merits of the finite difference method and the finite element method. The model employs Osher-type approximate Riemann solver to estimate the numerical flux of variables across the interface between cells with high accuracy. The model can be applied to the unsteady and steady stated as well as the subcritical and supercritical flow regimes. The model was examined by several samples with exact solutions. The comparison between computed results and exact solutions demonstrates very good agreement. Finally, the model was applied to water quality simulation in Hanjiang River. The simulated polluted area is matched well with observations.