Spinnability simulation of viscoelastic fluid
Spinnability simulation of viscoelastic fluid
复制标题
粘弹性流体的可纺性模拟
DOI：
10.1145/1836845.1836864
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Kosugi
中科院分区：
文献类型：
--
作者：
N. Mukai;Kentaro Ito;Masashi Nakagawa;M. Kosugi
计算机图形学中最具挑战性的问题之一是表示流体的行为。流体行为的可视化需要求解Navier-Stokes方程，这需要大量的时间，因此一些研究需要使用许多超级计算机进行模拟，而另一些研究则需要利用GPU的性能。常见的流体是牛顿流体，可以用一个恒定的粘度值来描述，与牛顿流体相关的研究有很多。另一方面，还有一种流体叫做非牛顿流体，它不容易描述，其中一种非牛顿流体就是粘弹性流体。粘弹性流体既具有流体的黏性，又具有固体的弹性，粘弹性流体的行为难以表征。[Goktekin et al. 2004]代表粘弹性流体的行为。他的技术基于欧拉方法，并在控制流体行为的纳维-斯托克斯方程中添加了弹性项。[Clavet et al. 2005]采用粒子法表示流体行为。粒子法可以表现流体的细微行为，如雨滴、喷泉、粘土的操纵等。他们的研究可以可视化粘弹性流体的许多类型的行为，但是他们不能代表可纺性，它具有三个特征：1)它像一根弦一样伸展得很细，2)从两端开始半径逐渐变小，中心部分半径最小，3)它像橡胶一样迅速收缩。
One of the most challenging issues of computer graphics is to represent the behavior of fluid. Visualizing the fluid behavior requires to solve Navier-Stokes equations, which take huge amount of time so that some researches use many super computers for the simulation, and others utilize the GPU performance. The common fluid is Newtonian that can be described by a single constant value of viscosity, and there are many researches related to Newtonian. On the other hand, there is another type of fluid called non-Newtonian that cannot be described easily, and one of non-Newtonians is viscoelactic fluid. Viscoelastic fluid has the characteristics of both viscosity of fluid and elasticity of solid, and it is difficult to represent the behavior of viscoelastic fluid. [Goktekin et al. 2004] represented the behavior of viscoelastic fluid. His technique is based on Eulerian methods and added elastic terms to Navier-stokes equations, which govern fluid behavior. [Clavet et al. 2005] used particle method for representing fluid behavior. Particle method can represent fine behavior of the fluid such as rain drops, fountains, clay manipulation. Their researches could visualize many types of behavior of viscoelastic fluid, however, they cannot represent the spinnability, which has three characteristics: 1) it stretches very thin as if it is a string, 2) the radius is getting smaller gradually from the both ends and the center part has the least radius, and 3) it shrinks rapidly as if it is a rubber.