非静压假定的σ坐标下垂向二维浅水模型的应用研究  

Research on the vertical 2-D modeling of shallow water in σ corrdinates with non-hydrostatic pressure assumption

作　　者：吴修广[1] 沈永明[2] 王敏[1] 郑永红[3] 杨志峰[4] 

机构地区：[1]浙江省水利河口研究院,杭州310020 [2]大连理工大学海岸和近海工程国家重点实验室,大连116024 [3]中国科学院广州能源研究所,广州510070 [4]北京师范大学环境科学研究所,北京100875

出　　处：《水力发电学报》2005年第1期93-97,112,共6页Journal of Hydroelectric Engineering

基　　金：国家自然科学基金项目(50379001);国家自然科学基金重点项目(10332050);辽宁省自然科学基金项目(20032117)

摘　　要：本文采用σ坐标下的垂向二维自由表面流动的k -ε双方程湍流数学模型 ,加入动水压力项 ,采用有限体积法来离散 ,求解模型时利用SIMPLE算法。本模型通过带有槽沟的明渠水流资料进行验证 ,计算结果与实测结果吻合较好 ,在预测底部有潜堤明渠水流时 ,计算出潜堤后面有明显的回流。A k-ε turbulent model for free surface shallow water flow is developed based on the unsteady Reynolds-averaged Navier-Stokes equations in σ- coordinates with the hydrodynamic pressure instead of the hydrostatic pressure assumption.Finite volume method is used to discrete the equations and the SIMPLE arithmetic is adopted to slove the equations.The model is applied to th 2-D vertical plane flow of current over a trench for which experiment data is available,and good agreement of comparison is obtained.The model is used to predict the flow in a channel with a submerged breakwater at the bottom,the believable stgreamiline is drawn.

关 键 词：环境水力学 非静压假定 自由表面流动 SIMPLE算法 δ坐标 

分 类 号：TV313.4[水利工程—水工结构工程]