A unified second-order accurate in time MPM formulation for simulating viscoelastic liquids with phase change
A unified second-order accurate in time MPM formulation for simulating viscoelastic liquids with phase change
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用于模拟相变粘弹性液体的统一二阶实时精确 MPM 公式
DOI：
10.1145/3450626.3459820
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发表时间：
2021
影响因子：
6.2
通讯作者：
Aanjaneya, Mridul
中科院分区：
文献类型：
--
作者：
Su, Haozhe;Xue, Tao;Han, Chengguizi;Jiang, Chenfanfu;Aanjaneya, Mridul
我们假设任何液体中的粘性力同时是局部和非局部的，并引入扩展的POM-POM模型[McLeish和Larson 1998；Oishi et al. 2012；Verbeeten et al. 2001]与计算机图形学相结合，设计了一个统一的粘度本构模型，该模型将先前的模型（如Oldroyd-B、上对流麦克斯韦（UCM）模型[Sadeghy et al. 2005]）和经典牛顿粘度模型一般化，并以不同的参数值恢复它们。通过后向欧拉对我们的模型进行隐式离散化，恢复了[Larionov等人。2017]的牛顿粘度变分Stokes求解器。然而，为了提高精度，我们引入了二阶精确的广义单步单解（GS4）方案[Tamma et al. 2000；Zhou和Tamma 2004]到计算机图形学，它恢复了迄今为止所有先前的二阶精确时间积分方案。利用GS4和我们的广义本构模型，我们提出了一种物质点法（MPM）来模拟各种粘弹性液体行为，如经典的液体绳索卷曲、屈曲、折叠和剪切变薄/增厚。此外，我们展示了如何将我们的粘弹性液体模拟器与最近引入的非傅立叶热扩散求解器[Xue et al. 2020]耦合起来，用于模拟相变问题，例如巧克力融化和3D打印的数字制造。虽然热扩散的离散化在GS4中略有不同，但我们表明它仍然可以使用无装配的多网格预置共轭梯度求解器有效地求解。我们展示了端到端的3D模拟，以展示我们框架的多功能性。
We assume that the viscous forces in any liquid are simultaneouslylocalandnon-local, and introduce theextended POM-POM model[McLeish and Larson 1998; Oishi et al. 2012; Verbeeten et al. 2001] to computer graphics to design a unified constitutive model for viscosity that generalizes prior models, such as Oldroyd-B, the Upper-convected Maxwell (UCM) model [Sadeghy et al. 2005], and classical Newtonian viscosity under one umbrella, recovering each of them with different parameter values. Implicit discretization of our model via backward Euler recovers the variational Stokes solver of [Larionov et al. 2017] for Newtonian viscosity. For greater accuracy, however, we introduce the second-order accurate Generalized Single Step Single Solve (GS4) scheme [Tamma et al. 2000; Zhou and Tamma 2004] to computer graphics, which recovers all prior second-order accurate time integration schemes to date. Using GS4 and our generalized constitutive model, we present a Material Point Method (MPM) for simulating various viscoelastic liquid behaviors, such as classical liquid rope coiling, buckling, folding, and shear thinning/thickening. In addition, we show how to couple our viscoelastic liquid simulator with the recently introduced non-Fourier heat diffusion solver [Xue et al. 2020] for simulating problems with phase change, such as melting chocolate and digital fabrication with 3D printing. While the discretization of heat diffusion is slightly different within GS4, we show that it can still be efficiently solved using an assembly-free Multigrid-preconditioned Conjugate Gradients solver. We present end-to-end 3D simulations to demonstrate the versatility of our framework.
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影响因子：
6.6
作者：
A. Eringen
通讯作者：
A. Eringen
影响因子：
6.2
作者：
H. Barreiro;I. García;Iván Alduán;M. Otaduy
通讯作者：
M. Otaduy
粘弹性
DOI：
--
发表时间：
2020
期刊：
Polymers for Vibration Damping Applications
影响因子：
--
作者：
B. C. Chakraborty;D. Ratna
通讯作者：
D. Ratna
影响因子：
3.1
作者：
Oishi, C. M.;Martins, F. P.;McKee, S.
通讯作者：
McKee, S.
DOI：
10.1145/3340255
发表时间：
2019-07
期刊：
Proc. ACM Comput. Graph. Interact. Tech.
影响因子：
--
作者：
Mridul Aanjaneya;Chengguizi Han;Ryan Goldade;Christopher Batty
通讯作者：
Mridul Aanjaneya;Chengguizi Han;Ryan Goldade;Christopher Batty