基于DISTMESH的三角形网格自适应生成方法与应用

Development and Application of Adaptive Triangular Mesh Generation Based on DISTMESH

针对海洋数值模型的空间离散,提出了一种能精确拟合复杂岸线和地形的三角形网格自适应生成方法。该方法基于DISTMESH,继承了它生成网格质量高、速度快的优点;为了适应海洋数值模型中的实际高复杂度边界条件,将DISTMESH方法中的分辨率函数构建为全局分辨率函数和局部加密函数,分别对整体和局部区域的分辨率进行控制;引入指标eac作为分辨率函数合理性的判据;引入网格质量评价指标Quni,Qmean,Qmin和Q05,作为网格迭代中止判据。将该方法应用于理想潮汐汊道和崇明东滩复杂潮沟系统的网格生成,案例表明,在理想和实际条件下,本研究方法均能满足海洋数值模型的空间离散要求,高效地生成高精度、高质量的三角形网格。

With the aim of providing better spatial discretization for ocean numerical model,this paper proposed an adaptive triangular mesh generation method with the capability of accurately fitting complex shorelines and terrain.Based on DISTMESH algorithm,this method inherited its advantages of high quality and fast speed.In order to adapt to the highly complex boundaries in the ocean numerical model,the resolution function in the DISTMESH method was re-constructed as a global resolution function and an additional local resolution function.The index eac was introduced as the criterion for the resolution function.The mesh quality evaluation indicators Quni,Qmean,Qmin and Q05 were introduced as the mesh iteration criterion.The applications of the mesh generation method to the idealized tidal inlet case and the Chongming Dongtan complex tidal creek system demonstrated this algorithm can meet the spatial discretization requirements to efficiently generate high-precision,high-quality triangular mesh.