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An efficient immersed boundary method for thermal flow problems with heat flux boundary conditions

机译:具有热通量边界条件的热流问题的有效沉浸边界方法

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摘要

A boundary condition implemented-immersed boundary method (IBM) involving velocity correction and heat flux correction is presented in this paper. In the framework of IBM, the velocity correction is made with Dirichlet condition (non-slip), and the temperature correction is made with Neumann (heat flux) condition. The main feature of present approach is to accurately satisfy the governing equations and boundary conditions through velocity and heat flux correction, which is performed by introducing a forcing term in the momentum equation and a heat source/sink term in the energy equation to consider the effect of the immersed boundary. The forcing term and heat source/sink are determined in such a way that the physical boundary conditions for velocity and temperature can be accurately satisfied. Numerical experiments for both forced convection and natural convection problems are conducted to validate the capability and efficiency of present method. Good agreements with available data in the literature have been achieved.
机译:本文提出了一种边界条件实现的浸入式边界方法(IBM),该方法涉及速度校正和热通量校正。在IBM的框架中,速度校正是在Dirichlet条件(防滑)下进行的,而温度校正是在Neumann(热通量)条件下进行的。本方法的主要特征是通过速度和热通量校正来精确满足控制方程式和边界条件,这是通过在动量方程式中引入强迫项和在能量方程式中引入热源/吸收器项来考虑影响而实现的。浸没边界的以能够精确满足速度和温度的物理边界条件的方式确定强迫项和热源/散热器。对强迫对流和自然对流问题进行了数值实验,以验证本方法的能力和效率。已经与文献中的可用数据达成了良好的协议。

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