论文标题
几乎不可压缩的粘弹性膜的数值模拟
Numerical Simulations of Nearly Incompressible Viscoelastic Membranes
论文作者
论文摘要
这项工作介绍了粘弹性液体自由界流动力学的新数值研究。理事方程式描述了线性动量的平衡，其中应力包括对麦克斯韦类型变形的粘弹性响应。一种惩罚方法用于强制执行粘弹性介质的不可压缩性，其中惩罚常数与流体的粘度成正比。使用了有限元方法，其中代表液体的细长几何形状在平面应力条件下由线性三节点三角元素离散化。考虑到提供的数值框架：剪切流和绘图过程中的扩展流量考虑了两种感兴趣的应用。
This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic response to deformations of Maxwell type. A penalty method is utilized to enforce near incompressibility of the viscoelastic media, in which the penalty constant is proportional to the viscosity of the fluid. A finite element method is used, in which the slender geometry representing the liquid membrane, is discretized by linear three-node triangular elements under plane stress conditions. Two applications of interest are considered for the numerical framework provided: shear flow, and extensional flow in drawing processes.
