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Thermal lattice Boltzmann flux solver and its application for simulation of incompressible thermal flows

机译:热格子玻尔兹曼通量求解器及其在不可压缩热流模拟中的应用

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A thermal lattice Boltzmann flux solver (TLBFS) is developed in this work for simulation of incompressible thermal flows. In TLBFS, the thermal lattice Boltzmann method (TLBM) is only applied to reconstruct the local solution of TLBM for evaluation of fluxes at the cell interface. Meanwhile, the macroscopic flow variables at cell centers are obtained by using the finite volume method to solve conservative differential equations recovered from Chapman-Enskog analysis of thermal lattice Boltzmann equation. The physical boundary conditions in TLBFS can be directly implemented using the same way as in conventional Navier-Stokes (N-S) solvers. The present solver eliminates the constraints associated with conventional lattice Boltzmann method such as limitation to uniform Cartesian mesh, tie-up between the time step and the mesh spacing, as well as implementation of boundary conditions for distribution functions. TLBFS is validated through numerical examples of natural convection in enclosures, including a square cavity and a cylindrical annulus, and mixed convection from a heated cylinder. Through numerical validation, it is shown that TLBFS can be effectively and flexibly applied to solve thermal flow problems with curved boundaries.
机译:在这项工作中开发了一种热晶格玻尔兹曼通量求解器(TLBFS),用于模拟不可压缩的热流。在TLBFS中,热晶格玻尔兹曼方法(TLBM)仅用于重建TLBM的局部解,以评估单元界面处的通量。同时,利用有限体积法求解热格玻尔兹曼方程的Chapman-Enskog分析法得到的保守微分方程,得到了细胞中心的宏观流动变量。 TLBFS中的物理边界条件可以使用与常规Navier-Stokes(N-S)求解器相同的方法直接实现。本求解器消除了与常规格子Boltzmann方法相关的约束,例如对统一笛卡尔网格的限制,时间步长和网格间距之间的联系以及对分布函数的边界条件的实现。 TLBFS通过封闭空间中自然对流的数值示例进行了验证,这些自然对流包括方腔和圆柱环,以及来自加热圆柱体的混合对流。通过数值验证表明,TLBFS可以有效,灵活地应用于解决边界弯曲的热流问题。

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