基于有限体积法的平面二维水流数学模型的改进  

Improvements on a plane 2D numerical flow model based on FVM

作　　者：李绍武[1] 张弛[1] 杨学斌[1] 李文善[1] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072

出　　处：《水道港口》2014年第5期475-480,共6页Journal of Waterway and Harbor

基　　金：国家自然科学基金(51379143)

摘　　要：在基于有限体积法的近岸水流数学模型中,单元交界面数值通量的计算精度、潜堤淹没和出露交替的模拟以及动边界技术都是至关重要的。首先通过加入数值通量底坡补偿项对Osher格式的数值通量计算格式进行了改进;又提出单元淹没度的概念,提高了模型在模拟潜堤出露和潮间带干湿变化中的适应性。利用典型算例对模型进行了验证,得到了满意的结果。Precision of the numerical flux through mesh interface, treatment for dike emerging-submerging al-ternating and techniques of movable boundary have important significance for the numerical current models based on FVM. Compensational term of bottom slope in calculating numerical flux was added into the model in order to im？prove the interface numerical flux that was calculated by the Osher scheme. A concept of submergence index was proposed to enhance the adaptability of the model in simulation of dike emerging？submerging and movable bound？ary in the intertidal zone. A series of ideal computational examples were simulated to verify the properties of the model. Finally, satisfactory results were obtained.

关 键 词：水流数学模型 底坡补偿项 有限体积法 潜堤 淹没度 动边界 

分 类 号：TV143[水利工程—水力学及河流动力学] O242.1[理学—计算数学]