各向加权异性有限元法在不可压粘性流动计算中的应用

Weighted Anisotf opic Tensor Force Finite Element Method in Incompressible Viscous Flow Comptutation

本文利用各向异性张力有限单元,考虑到其独特的性质,提出了一种各向加权异性的算法,即在不同方向采用不同连续性的插值函数,然后再在原连续性较弱的方向以连续性较强的插值函数计算,最后把两次计算的结果加权处理。这种方法可以适应两个方向连续性要求不同或相同的各种情况,既克服了一般各向异性张力有限单元的局限性,又大大减少了存贮量和计算量。

With the use of anisotropic tensor force finite element, an considering the strange property of it, we constract a kind of weighted ansiotropic tensor force finite element method, which uses different kind of interpolation function in different direction, then comptutes in the direction whose continuity is weak with the interpolation function whose continuity is strong. After that, two results are weighted. This kind of method can match the demand of the condition which requires continuity be diferent or same at two directions. It overcomes the limititation of usual anisotropic tensor force finite element, and decrease the storage and comptutation quantity.