可以恢复Navier-Stokes方程的3阶格子Boltzmann作用力模型

胡开南; 张宏武; 耿少娟

doi:10.13224/j.cnki.jasp.2017.08.018

可以恢复Navier-Stokes方程的3阶格子Boltzmann作用力模型

doi: 10.13224/j.cnki.jasp.2017.08.018

1.
中国科学院工程热物理研究所工业燃气轮机实验室，北京 100190；中国科学院大学，北京 100190
2.
中国科学院工程热物理研究所工业燃气轮机实验室，北京 100190

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出版历程
- 收稿日期: 2016-01-11
- 刊出日期: 2017-08-28

A third order lattice Boltzmann force model capable of recoving the Naveir-Stokes equations

摘要

摘要: 为了给出能够恢复适用于低黏性流动的Navier-Stokes方程的3阶格子Boltzmann作用力模型，修正了Shan等人给出的3阶格子Boltzmann作用力模型，并重新定义了受作用力影响的流体速度和总能。使用修正后的Shan模型,通过Chapman-Enskog展开，可以将lattice Bhatnagar-Gross-Krook(LBGK)方程恢复到Navier-Stokes方程（含能量方程）, 且没有产生任何误差项。
- 格子Boltzmann方法 /
- Chapman-Enskog展开 /
- 热格子模型 /
- 作用力模型 /
- 格子离散效应 /
- 低黏性流动
Abstract: In order to design a third order lattice Boltzmann force model capable of recovering the Navier-Stokes equations applied to low viscosity flow, the force model proposed by Shan，et al were amended. The fluid velocity and total energy affected by force were redefined directly without any physical assumption. The Navier-Stokes equations （including the energy equation） were derived from lattice Bhatnagar-Gross-Krook(LBGK) equation via the Chapman-Enskog expansion without any error terms.
- lattice Boltzmann method /
- Chapman-Enskog expansion /
- thermal lattice model /
- force model /
- lattice discrete effect /
- low viscosity flow

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参考文献(20)

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