无结构网格二维河口海岸水动力数值模式的建立及其应用  

An unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model and its application

作　　者：陈昞睿[1] 朱建荣[1] 吴辉[1] 李路[1] 王彪[1] 

机构地区：[1]华东师范大学河口海岸学国家重点实验室,上海200062

出　　处：《海洋学报》2010年第2期31-39,共9页

基　　金：国家自然科学基金(40976056);国家自然科学基金创新团队项目(40721004);海洋公益性行业科研专项(200705002)

摘　　要：为完全拟合河口近海复杂岸线和工程结构以及有效局部加密,设计并建立了一个无结构三角形网格二维河口海岸水动力数值模式。空间离散主要基于有限体积法以保证守恒性,时间积分采用预估修正法以提高精度。水位在三角形网格中心通过连续方程求解;水平x方向和y方向的流速U和V均在网格边中点上通过动量方程求解。流速平流项的求解中采用了TVD格式。TVD流速平流通量为一个一阶迎风格式通量和一个二阶格式通量的组合,一阶格式通量和二阶格式通量根据流速的局部分布情况得出配比,最终组合得到TVD通量。TVD格式具有低耗散和无频散的优点,提高了模式的稳定性。应用实测资料验证建立的模式,结果显示水位、流速和流向的计算值与实测值均符合良好。In order to perfectly fit complex coastlines and project structures in coastal and estuarine areas, an unstructured mesh two-dimensional coastal and estuarine hydrodynamic numerical model is established. Finite-volume method is used in spatial discretization to guarantee conservation and predictor-corrector method is used in temporal to improve accuracy. Elevation is solved at the centre of the triangular cell by continuity equation, while horizontal x-direction and y-direction velocities are solved at the middle of grid sides by momentum equations. In calculating velocity advection, TVD scheme is adopted. TVD flux of velocity advection is a combination of the first-order upwind flux and a second-order scheme flux. The proportion of each flux contributing to TVD flux is decided by the local velocity distribution. TVD scheme is low- diffusive and non-dispersive, which improves the stability of the model. Observed data are used to validate the model. Results show that elevation, flow velocity and flow direction are all well matched between calculated values and observed ones.

关 键 词：无结构网格 水动力数值模式 TVD格式 

分 类 号：P731.2[天文地球—海洋科学]