The lattice Boltzmann (LB) method has been applied to simulate boiling heat transfer in recent years. However, the existing studies are mostly focused on boiling on flat surfaces or structured surfaces with square pillars/cavities, and very few LB studies have been made regarding boiling on curved surfaces. In order to clarify the issues involved in the curved boundary implementation for boiling simulations, we numerically investigate the performances of two LB boundary schemes in simulating boiling on curved surfaces. One is the halfway bounce-back scheme, which is very popular in the LB community because of its easy implementation, and the other is a curved boundary scheme. Numerical results clearly show that the halfway bounce-back scheme leads to “artificial” nucleation sites in simulating boiling on curved surfaces because of its staircase approximation. A curved boundary scheme can overcome such a drawback, but it yields serious mass leakage. Hence, a mass-conservation correction should be enforced to the curved boundary scheme so as to eliminate the mass leakage in boiling simulations. The present study indicates that the halfway bounce-back scheme is not suitable for the LB simulations of boiling involving curved surfaces, while the curved LB boundary schemes must be combined with a mass-conservation correction when applied to simulate boiling on curved surfaces.

中文翻译：

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涉及曲面的沸腾传热的格子Boltzmann模拟中的边界方案研究

近年来，格子玻尔兹曼（LB）方法已被用于模拟沸腾传热。然而，现有的研究主要集中在平坦表面或具有方柱/腔的结构化表面上的沸腾，而很少有关于弯曲表面上沸腾的LB研究。为了阐明沸腾模拟的弯曲边界实现中涉及的问题，我们在数值上研究了两种LB边界方案在模拟弯曲表面上的沸腾性能。一种是中途反弹方案，由于易于实施，因此在LB社区中非常受欢迎，另一种是弯曲边界方案。数值结果清楚地表明，由于其阶梯近似，中途反弹方案在模拟曲面上的沸腾时会导致“人造”成核位点。弯曲边界方案可以克服此缺点，但会导致严重的质量泄漏。因此，应对弯曲边界方案实施质量守恒校正，以消除沸腾模拟中的质量泄漏。本研究表明，中途反弹方案不适用于涉及曲面沸腾的LB模拟，而弯曲LB边界方案在应用于模拟曲面沸腾时必须与质量守恒校正相结合。应当对弯曲边界方案进行质量守恒校正，以消除沸腾模拟中的质量泄漏。本研究表明，中途反弹方案不适用于涉及曲面沸腾的LB模拟，而弯曲LB边界方案在应用于模拟曲面沸腾时必须与质量守恒校正相结合。应当对弯曲边界方案进行质量守恒校正，以消除沸腾模拟中的质量泄漏。本研究表明，中途反弹方案不适用于涉及曲面沸腾的LB模拟，而弯曲LB边界方案在应用于模拟曲面沸腾时必须与质量守恒校正相结合。