Lattice Boltzmann Methods for Fluids, Plasmas, and Quantum Systems

适用于流体、等离子体和量子系统的格子玻尔兹曼方法

• 批准号: EP/E054625/1
• 负责人: Paul Dellar
• 金额: $ 67.07万
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE054625%2F1
• 关键词: Lattice; Boltzmann; Methods; Fluids; Plasmas

Phenomena in fluid flow are usually described by complicated equations named after Navier and Stokes that treat fluids as continuous, infinitely divisible media, or by computer programs based on these equations. However, real fluids are made up of molecules, each of which behaves according to Newton's laws of motion. Newton's laws are much simpler than the Navier-Stokes equations, but there are so many molecules, perhaps 10^18 per cubic centimetre, that one replaces a handful of complicated equations with vast numbers of simple equations.The lattice Boltzmann approach occupies the middle ground: the equations are each only a little more complicated than Newton's laws, but there are only a few more of them than are already present in the Navier-Stokes equations. This middle ground has proved very fruitful even for simulating phenomena that could be described by the Navier-Stokes equations, and by retaining contact with Newton's laws for molecules one may reach down into smaller lengthscales where the Navier-Stokes equations are no longer adequate. These scales are now routinely reached by ever smaller technological devices, the so-called microelectrical mechanical devices.

流体流动中的现象通常由以Navier和Stokes命名的复杂方程来描述，这些方程将流体视为连续的、无限可分割的介质，或者由基于这些方程的计算机程序来描述。然而，真正的流体是由分子组成的，每个分子的行为都符合牛顿运动定律。牛顿定律比牛顿-斯托克斯方程简单得多，但分子太多了，每立方厘米可能有10^18个，以至于人们用大量简单的方程取代了少数复杂的方程。格子玻尔兹曼方法占据了中间位置：每个方程都只比牛顿定律复杂一点，但比纳维-斯托克斯方程中已经存在的方程多了几个。事实证明，即使对于可以用纳维斯托克斯方程描述的现象，这种中间立场也是非常有效的，通过保持与分子的牛顿定律的联系，人们可以深入到纳维尔-斯托克斯方程不再适用的较小的长度尺度。现在，这些规模通常被越来越小的技术设备所达到，即所谓的微电子机械设备。

项目成果

Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices

• DOI: 10.1016/j.jcp.2013.11.021
• 发表时间: 2014-02-15
• 期刊: JOURNAL OF COMPUTATIONAL PHYSICS
• 影响因子: 4.1
• 作者: Dellar, Paul J.

Quantum lattice algorithms: similarities and connections to some classic finite difference algorithms

量子点阵算法：与一些经典有限差分算法的相似性和联系

• DOI: 10.1051/proc/201552005
• 发表时间: 2016
• 期刊: Proceedings and Surveys
• 作者: Dellar P

A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip

• DOI: 10.1002/fld.2549
• 发表时间: 2012-05-10
• 期刊: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
• 影响因子: 1.8
• 作者: Bennett, Sam;Asinari, Pietro;Dellar, Paul J.
• 通讯作者: Dellar, Paul J.