自适应网格加密和多重网格求解严重病态方程

本文探讨用自适应网格加密技术结合多重网格法求解由有限元离散导致的病态方程。计算结果表明；自适应多重网格有限元法是求解严重病态方程珠有效方法。     

超弹性球体入水过程空泡演化及球体变形实验

超弹性材料是工程实际中常用的材料,具有很强的非线性力学性能.将超弹性材料应用于入水问题是一个新的跨学科研究方向.与传统的刚性球体入水现象不同,超弹性球体入水后极易发生变形.为了探究该大变形的入水流固耦合问题,本文采用高速摄像方法,对超弹性球体垂直入水问题开展实验研究.基于实验结果,对比分析了球体材料属性和入水冲击条件对入水空泡流动及球体变形行为的影响.实验结果表明,超弹性球体入水后产生嵌套空泡现象的条件是需要足够大的入水冲击条件和小的材料剪切模量.嵌套空泡产生和保持的时间与球体的剪切模量和直径有关.超弹性球体的入水位移及其形成空泡的长度随入水冲击速度和剪切模量的增大而增大,却随球体直径的增大而减小.入水冲击速度的增加只会加剧球体的变形程度,而不影响嵌套空泡的产生时刻.同时,本文对球体的变形行为随弗劳德数和剪切模量与水动力之比的变化特性进行了描述与研究.     

Cavity formation during water entry of heated spheres

We experimentally study the cavity formation when heated spheres impact onto water at low and high subcooling.The observations present that the formation and appearance of the cavity are affected by the boiling modes and the heat transfer intensity. In the nucleate-boiling regime, a rough cavity can be formed at a rather low impact velocity, while at the same velocity, the cavity formed in the film-boiling regime may have a very smooth interface with a stable vapor layer around the sphere. We discuss the effects of the impact speed, water and sphere temperatures on the stability of the vapor layer. For low subcooled water, the stable vapor layer will be disturbed when increasing the impact velocity, leading to a disturbed cavity. For high subcooled water, the film boiling has a particular boiling model in which the vapor layer around the sphere cannot keep its stability. In this particular film-boiling regime, no cavities can be formed at low impact velocities and only broken cavities can be formed at high impact velocities.