A novel thermal lattice Boltzmann model with heat source and its application in incompressible flow
A novel thermal lattice Boltzmann model with heat source and its application in incompressible flow
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一种新型热源热晶格玻尔兹曼模型及其在不可压缩流动中的应用
DOI：
10.1016/j.amc.2022.127167
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发表时间：
2022-08
影响因子：
4
通讯作者：
Yuehong Qian
中科院分区：
文献类型：
--
作者：
Zhengdao Wang;Yikun Wei;Yuehong Qian
本文详细分析了双分布函数法中能量分布的源项，提出了一种新的离散模型，消除了以往模型中的误差项。新模型包含两个耦合项，即速度-源耦合项和温度-力耦合项。速度-源耦合项与源的输运有关，影响对流、化学反应等的模拟精度;温度-力耦合项与力和温度梯度的内积有关，影响对流边界层和羽流边缘的模拟精度。我们扩展了两个新的启发式处理，以处理绝热和等温边界条件。理论上分析了它们的效率和精度，并通过数值验证了它们的有效性。最后，利用该模型对具有压缩功和粘性耗散的自然对流进行了数值模拟，得到了平均Nusselt数与Eckert数之间的标度关系。
In this paper, the source term of energy distribution in double distribution function approach is analysed in detail and a new discrete model is proposed to eliminate the error terms in previous models. The newly proposed model contains two coupling terms, i.e. a velocity-source coupling term and a temperature-force coupling term. The velocity-source coupling term is related to the transport of source which affects the accuracy of simulations of convection, chemical reaction and so on. The temperature-force coupling term is related to the inner product of force and temperature gradient which affects the accuracy of simulations of boundary layer and the edge of plumes in convection. We extended two new heuristic treatments to handle the adiabatic and isothermal boundary conditions. Their efficiency and accuracy are analyzed theoretically and proved by some numerical validations. Finally, we simulated natural convection flows with compression work and viscous dissipation over a wide range of Eckert number using the present model and obtained a scaling law between average Nusselt number and Eckert number.
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DOI：
10.1002/advs.201800028
发表时间：
2018-09
期刊：
Advanced science (Weinheim, Baden-Wurttemberg, Germany)
影响因子：
--
作者：
Chen JX;Chen YG;Kapral R
通讯作者：
Kapral R
影响因子：
6.7
作者：
Ru-Fei Cui;Qing-Hu Chen;Jiang-Xing Chen
通讯作者：
Ru-Fei Cui;Qing-Hu Chen;Jiang-Xing Chen
DOI：
10.1177/1094342011414745
发表时间：
2011-08
期刊：
The International Journal of High Performance Computing Applications
影响因子：
--
作者：
C. Obrecht;F. Kuznik;B. Tourancheau;J. Roux
通讯作者：
C. Obrecht;F. Kuznik;B. Tourancheau;J. Roux
DOI：
10.1103/physreve.87.063304
发表时间：
2013-06
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Takeshi Seta
通讯作者：
Takeshi Seta
影响因子：
2.4
作者：
He, XY;Shan, XW;Doolen, GD
通讯作者：
Doolen, GD