黏性不可压流体的自适应网格技术和基本特性方程分离算法的联合分析

Combined Adaptive Meshing Technique and Characteristic Based Split Algorithm for Viscous Incompressible Flow Analysis

组合基本特性方程分离算法和自适应网格技术,分析二维黏性不可压流体.该方法使用3节点三角单元,对速度分量和压力等变量分析,使用等阶次的插值函数.组合解法的主要优点在于,在自适应网格技术中,对解梯度变化大的区域,通过耦合误差估计生成小的单元,利于提高解的精度,在其它区域生成大单元,可以节省时间.最后,通过对一个黏性流体圆柱体绕流问题的瞬态和稳态特性分析,给出了组合解法性能的评价.

A combined characteristic-based split algorithm and an adaptive meshing technique for analyzing two-dimensional viscous incompressible flow is presented. The method uses the three-node triangular element with equal-order interpolation functions for all variables of the velocity components and pressure. The main advantage of the combined method is to improve solution accuracy by coupling an error estimation procedure to an adaptive meshing technique that generates small elements in regions with large change in solution gradients, and at the same time, larger elements in other regions. The performance of the combined procedure is evaluated by analyzing the three test cases of the flow past a cylinder, for their transient and steady-state flow behaviors.