Conformation constraints for efficient viscoelastic fluid simulation
Conformation constraints for efficient viscoelastic fluid simulation
复制标题
高效粘弹性流体模拟的构象约束
DOI：
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发表时间：
2017
影响因子：
6.2
通讯作者：
M. Otaduy
中科院分区：
文献类型：
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作者：
H. Barreiro;I. García;Iván Alduán;M. Otaduy
高粘弹性的模拟提出了重要的计算挑战。其一是很难在没有永久结构的介质中可靠地测量应变及其导数。另一个原因是控制微分方程组的高刚性。应对这些挑战的解决方案是存在的，但它们的计算速度很慢。我们提出了一种基于约束的粘弹性模型，该模型能够有效地模拟高粘性和粘弹性现象。我们的模型以基于约束的方式重新建立了聚合物流体的粘弹性本构模型，该模型定义了构象张量的简单控制方程。该模型可以表示不同的材料调色板，包括弹塑性、高粘性和无粘性液体行为。此外，我们还设计了一个约束动力学求解器，扩展了基于位置的动力学方法，以有效地处理基于位置和基于速度的约束。我们展示了从粘弹性效应的交互模拟到具有竞争性能的高粘度的大规模模拟的结果。
The simulation of high viscoelasticity poses important computational challenges. One is the difficulty to robustly measure strain and its derivatives in a medium without permanent structure. Another is the high stiffness of the governing differential equations. Solutions that tackle these challenges exist, but they are computationally slow. We propose a constraint-based model of viscoelasticity that enables efficient simulation of highly viscous and viscoelastic phenomena. Our model reformulates, in a constraint-based fashion, a constitutive model of viscoelasticity for polymeric fluids, which defines simple governing equations for a conformation tensor. The model can represent a diverse palette of materials, spanning elastoplastic, highly viscous, and inviscid liquid behaviors. In addition, we have designed a constrained dynamics solver that extends the position-based dynamics method to handle efficiently both position-based and velocity-based constraints. We show results that range from interactive simulation of viscoelastic effects to large-scale simulation of high viscosity with competitive performance.