UCM流体在驻点附近的流动是否总是奇异的？
Is a UCM fluid flow near a stationary point always singular?
摘要：
UCM粘弹性流体的基准流动的数值解的经常观察到的发散是已知的和广泛讨论的问题。一些作者认为这种奇异性是“不可战胜的”。文章论证了这一立场，为此，它考虑了两个典型的流动与一个停滞点，往往是一个地方的流动的奇异性：逆流和流动蔓延的墙壁。对于逆流的数值和渐近解析解。这两种流动在驻点处都是有规律的，特别是在高Weissenberg数的情况下。分析结果与数值计算结果吻合较好。
英文摘要：
Frequently observed divergence of numerical solutions to benchmark flows of the UCM viscoelastic fluid is a known and widely discussed issue. Some authors consider such singularities "invincible". The article argues this position, to which end it considers two typical flows with a stagnation point, often a place of the flows' singularity: counterflows and a flow spread over a wall. For the counterflows numerical and asymptotic analytical solutions are presented. Both kinds of flows turn out regular in the stagnation points, in particular, for high Weissenberg numbers. A good accordance is demonstrated between the analytical and numerical results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
