铸造CAE后处理中二值差分数据重构方法研究

Reconstruction Algorithm of Binary Finite Difference Data during Post Processing of Casting CAE System

在铸造CAE后处理中,以平滑的方式对二值差分数据进行可视化是一个难题。基于Hamilton-Jacobi方程,建立了一种重构任意二值差分数据的数学模型,该模型能够将二值数据重构为一个连续的隐式函数,且该函数不依赖于任何原有的STL信息或数值计算信息,而仅与该二值数据所隐含的几何形状有关。同时提出了一种快速扫描方法来快速求解该模型,并采用Open MP指令对求解过程进行了并行化。结果显示,所提出的方法能够对任意复杂曲面铸件的二值差分数据进行快速重构,进而实现平滑绘制;另外,该方法同样可用于连续差分数据的三维重构。

It is a difficult problem how to smoothly visualize the binary finite differential data during the post processing of casting CAE system. A mathematical model is proposed to reconstruct these data to be a continuous implicit function based on the Hamilton-Jacobi equations,which is independent of information of the original STL geometry and numerical simulation while it is only related to the underlying geometry represented by the finite differential data. Meanwhile,an efficient fast sweeping method is presented to solve the model. The solving process is parallelized with OpenMP language. The results reveal that the presented method can be used to effectively reconstruct arbitrary complex binary finite differential data and then realize smooth visualization. In addition,the model can be also used to reconstruct the continuous finite differential data.