| 可以恢复Navier-Stokes方程的3阶格子Boltzmann作用力模型 |
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| 引用本文： | 胡开南,张宏武,耿少娟.可以恢复Navier-Stokes方程的3阶格子Boltzmann作用力模型[J].航空动力学报,2017,32(8):1943-1949. |
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| 作者姓名： | 胡开南 张宏武 耿少娟 |
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| 作者单位： | 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 |
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| 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。
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| 关 键 词： | 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 |
| 收稿时间： | 2016/1/11 0:00:00 |
A third order lattice Boltzmann force model capable of recoving the Naveir-Stokes equations |
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| HU Kainan,ZHANG Hongwu,GENG Shaojuan.A third order lattice Boltzmann force model capable of recoving the Naveir-Stokes equations[J].Journal of Aerospace Power,2017,32(8):1943-1949. |
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| Authors: | HU Kainan ZHANG Hongwu GENG Shaojuan |
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| 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. |
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| Keywords: | lattice Boltzmann method Chapman-Enskog expansion thermal lattice model force model lattice discrete effect low viscosity flow |
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