Consistent thermal boundary conditions for 2-D and 3-D thermal lattice Boltzmann simulations

熱晶格波茲曼法二維與三維邊界條件之發展

劉智豪

指導教授 ： 林昭安

國立清華大學/工學院/動力機械工程學系/碩士(2008年)

摘要

Consistent 2-D and 3-D thermal boundary conditions with
three different formulations for thermal lattice Boltzmann
simulations are proposed. The unknown energy distribution functions are made functions of known energy distribution functions and correctors, where the correctors at the boundary nodes are obtained directly from the definition of internal energy density. The proposed thermal boundary conditions are applied to two-dimensional thermal Poiseuille flow, thermal Couette flow, thermal Couette flow
with wall injection, natural convection in a square cavity, and three-dimensional thermal Poiseuille flow in a square duct. Numerical simulations indicate that each formulation is second-order accurate, and maintains accuracy over a wide range of Rayleigh numbers.

關鍵字

晶格波茲曼法 ； 溫度邊界條件 ； 自然對流

並列摘要

無資料

並列關鍵字

lattice Boltzmann method ； thermal boundary conditions ； natural convection

參考文獻

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