基于矢量场旋度的流带可视化研究

Study on curl-based streamribbon visualization

流带是计算流体力学 (CFD ,ComputationalFluidDynamics)矢量场可视化的重要技术之一 .在对现有的几类流带生成算法进行比较分析的基础上 ,重点研究了基于矢量场旋度的流带生成算法 ,并且根据复合函数微分法的原理 ,针对结构化网格的定常三维矢量场 ,提出了算法具体实现中求解旋度的方法 .

Streamribbon visualization, one of the important techniques for CFD (computational fluid dynamics) vector fields visualization, was investigated. Based on the analysis on the existing algorithms regarding to streamribbon generation, the stress was laid on the streamribbon generation algorithm based on the curl in vector fields. The implementation of this algorithm is explained. In order to solve one of the key points in the algorithm, the principles of differential calculus on compound functions were introduced to calculate the curl in data sets of three-dimensional steady vector fields with irregular structured grids. The streamribbon generation algorithm based on curl is of lower complexity, and is of higher robusticity and tractability. The resulting visualization images of streamribbon conduce to the study on the vortices in flow fields.