A simple enthalpy-based lattice Boltzmann scheme for complicated thermal systems
A simple enthalpy-based lattice Boltzmann scheme for complicated thermal systems
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DOI：
10.1016/j.jcp.2012.08.019
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发表时间：
2012-10
期刊：
影响因子：
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通讯作者：
Sheng Chen;K. Luo;C. Zheng
中科院分区：
文献类型：
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作者：
Sheng Chen;K. Luo;C. Zheng
为了扩展格子玻尔兹曼（LB）方法来描述适用的能源系统，第一个关键步骤是建立合适的热LB模型和相应的边界处理。现有的相关工作存在两个主要缺点：要么一些额外的能源项不方便自然地纳入，要么对于复杂的热系统，非狄利克雷型热边界条件的实现极其困难，有时甚至是不可能的，这限制了它们仅适用于少数特殊类别的问题。为了以简单的方式克服这些缺点，本文基于总焓构建了热LB模型和相应的边界处理。分析了引入总焓带来的具体好处，发现本方案获得的数值结果与解析解和/或先前研究中报告的数据非常吻合。
To extend the lattice Boltzmann (LB) method to describe the applicable energy systems, the first key step is to build a suitable thermal LB model and corresponding boundary treatments. There are two main shortcomings in the existing related works: either some additional energy source terms are inconvenient to be naturally incorporated or the implementation of non-Dirichlet-type thermal boundary conditions is extremely difficult and sometimes impossible in them for complicated thermal systems, which restrict their applicability to only a few special classes of problems. In order to overcome these drawbacks by a simple way, in this paper a thermal LB model and corresponding boundary treatments are constructed based on the total enthalpy. The specific benefits due to the introduction of the total enthalpy are analyzed and it is found that the numerical results obtained by the present scheme agree well with the analytical solutions and/or the data reported in previous studies.