Multiscale Modelling of Complex Fluids: A Mathematical Initiation

机译：复杂流体的多尺度建模：数学启动

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

We present a general introduction to the multiscale modelling and simulation of complex fluids. The perspective is mathematical. The level is elementary. For illustration purposes, we choose the context of incompressible flows of infinitely dilute solutions of flexible polymers, only briefly mentioning some other types of complex fluids. We describe the modelling steps, compare the multiscale approach and the purely macroscopic, more traditional, approach. We also introduce the reader with the appropriate mathematical and numerical tools. A complete set of codes for the numerical simulation is provided, in the simple situation of a Couette flow. This serves as a test-bed for the numerical strategies described in a more general context throughout the text. A dedicated section of our article addresses the mathematical challenges on the front of research.

机译：我们向您介绍复杂流体的多尺度建模和仿真。观点是数学的。初级。出于说明目的，我们选择了柔性聚合物的无限稀溶液的不可压缩流的上下文，仅简要提及了其他类型的复杂流体。我们描述了建模步骤，比较了多尺度方法和纯粹宏观的，更传统的方法。我们还将向读者介绍适当的数学和数值工具。在Couette流的简单情况下，提供了用于数值模拟的完整代码集。这是本文全文中所描述的数值策略的试验平台。我们的文章专门讨论了研究前沿的数学难题。

著录项

来源
《Multiscale modeling and simulation in science》|2007年|49-137|共89页
会议地点 Stockholm(SE)
作者
Claude Le Bris; Tony Lelievre;
展开▼
作者单位

CERMICS, Ecole Nationale des Ponts et Chaussees, 6 8, avenue Blaise Pascal, F-77455 Marne-La-Vallee Cedex 2, France INRIA Rocquencourt, MICMAC project-team, Domaine de Voluceau, B.P. 105, F-78153 Le Chesnay Cedex, France;

CERMICS, Ecole Nationale des Ponts et Chaussees, 6 8, avenue Blaise Pascal, F-77455 Marne-La-Vallee Cedex 2, France INRIA Rocquencourt, MICMAC project-team, Domaine de Voluceau, B.P. 105, F-78153 Le Chesnay Cedex, France;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类高能物理学;
关键词
non-newtonian flows; complex fluids; polymer flow; multiscale modelling; couelte flow; hookean and FENE dumbbell models; oldroyd-B model; fokker-planck equation; stochastic differential equation;

机译：非牛顿流；复杂流体聚合物流多尺度建模库仑流霍根和费恩哑铃模型； oldroyd-B模型；福克-普朗克方程随机微分方程;

相似文献

外文文献
中文文献
专利

1. Seamless multiscale modeling of complex fluids using fiber bundle dynamics [J] . Ren WQ Communications in mathematical sciences . 2007,第4期

机译：使用纤维束动力学对复杂流体进行无缝多尺度建模
2. A mathematical and numerical study of a filtering-based multiscale fluid model with nonlinear eddy viscosity [J] . Argus A. Dunca, Monika Neda, Leo G. Rebholz Computers & mathematics with applications . 2013,第6期

机译：基于过滤的非线性涡流多尺度流体模型的数学和数值研究
3. Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids [J] . F. Billon, A. El Baroudi Applied Mathematical Modelling . 2021,第Auga期

机译：用复杂流体负载粘弹性波导在粘弹性波浪中的数学建模
4. Mathematical modeling of initiation and propagation of detonation in the areas of complex shapes using fully unstructured grids [C] . A. I. Lopato, P. S. Utkin International Conference on the Methods of Aerophysical Research . 2018

机译：使用完全非结构化网格在复杂形状区域中发起和传播的数学建模
5. A Multiscale Modeling Study of the Mammary Gland: Using Mathematical Modeling and Computer Simulation to Study the Roles of Cell Phenotypic Dynamics and Molecular Signaling in the Pubertal End Bud and Postmenopausal DCIS Initiation. [D] . Butner, Joseph D. 2017

机译：乳腺的多尺度建模研究：使用数学建模和计算机模拟研究细胞表型动力学和分子信号传导在青春期末芽和绝经后DCIS启动中的作用。
6. Multiscale Modelling Tool: Mathematical modelling of collective behaviour without the maths [O] . James A. R. Marshall, Andreagiovanni Reina, Thomas Bose, 2012

机译：多尺度建模工具：无需数学即可对集体行为进行数学建模
7. Multiscale modelling of complex fluids: A mathematical initiation. [O] . Le Bris, Claude, Lelievre, Tony 2007

机译：复杂流体的多尺度建模：一种数学启蒙。
8. Multiscale Modeling of Complex Physics: Fluids Solids and Optics [R] . Glimm, J. 2004

机译：复杂物理的多尺度建模：流体固体和光学

Multiscale Modelling of Complex Fluids: A Mathematical Initiation

摘要

著录项

相似文献

相关主题

期刊订阅