【摘 要】A new mesh optimization algorithm was proposed to control
boundary mesh quality in the mesh optimization. Calculations were
performed to analyze the ability of seven methods to distinguish four
kinds of poor-quality elements and their effects on the equivalent change
of element shape, and compare the time each method costs. Then an error
function was derived from an optimal measurement criterion. The error
function was adopted as the objective function of the optimization-based
smoothing. In the objective function, the function terms considering
boundary mesh quality and internal mesh quality were included, and a
weighted coefficient controlling boundary mesh quality was added. The
practical application of the optimization algorithm for a centrifugal pump
impeller shows that the worst elements can be eliminated and the whole
quality can be improved clearly. Moreover, the quality of the average mesh
in the boundary rises with the increase in the weighted coefficient.%针对网
格优化过程中边界网格质量难以控制的问题,提出一种新的网格优化算法.通过数值
计算分析了不同质量衡量准则对劣质单元及其单元形状变化评判效果的等价性问题,
对各衡量准则所耗费的时间进行了对比,在此基础上选用一种最优的衡量准则推导
出了错误函数,并将该函数作为基于优化光顺的目标函数,目标函数中包含有考虑边
界网格质量和内部网格质量的函数项,且为函数项添加了一个权重系数,从而实现了
边界网格单元质量的控制.经某离心泵叶轮算例验证表明:优化后网格单元质量系数