一般曲线坐标系平面二维水沙数学模型研究与应用  

Study and application of 2-D horizontal mathematical model for flow and sediment in generalized curvilinear coordinate

作　　者：谢作涛[1] 张小峰[1] 袁晶[1] 许全喜[1] 杨芳丽[1] 

机构地区：[1]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072

出　　处：《泥沙研究》2005年第6期58-64,共7页Journal of Sediment Research

基　　金：国家重大基础研究计划973项目(2003CB415203);国家自然科学基金(50579054)

摘　　要：对笛卡尔坐标系下控制方程进行坐标变换,采用控制体积法与SIMPLE算法对方程进行离散和求解,建立了一般曲线坐标系平面二维全沙模型。模型控制方程离散时物理量布置采用同位网格,避免了采用交错网格时所需的大量插值计算,提高了计算效率。模型较全面地考虑了非均匀悬移质及推移质运动,具有较好的普遍适用性。通过长江沙市河段1996年至2001年实测水沙资料对模型进行了较系统的验证,计算结果表明模型能够较合理反映天然河道水沙运动及河床变形规律。In this paper, a model in generalized curvilinear coordinate is presented to simulate 2-D horizontal flow and sediment. Governing equations are discretized by control volume method, and non-staggered grids and SIMPLE algorithm are introduced to simplify the program during the discretization. This model is used to simulate the movement of flow and sediment in Shashi reach in Yangtze River. Calculated results indicate this model can correctly reflect the movement of flow and sediment, which verifies the model can be applied in engineering practice.

关 键 词：一般曲线坐标系 同位网格 控制体积法 SIMPLE算法 

分 类 号：O242.1[理学—计算数学]