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首页> 外文期刊>International Journal of Heat and Mass Transfer >Presenting a novel higher-order bounded convection scheme for simulation of multiphase flows and convection heat transfer
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Presenting a novel higher-order bounded convection scheme for simulation of multiphase flows and convection heat transfer

机译：提出一种新型高阶有界对流方案，用于模拟多相流和对流传热

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摘要

The primary aim of the current study is to enhance the stability and accuracy of the Volume-Of-Fluid (VOF) method for modeling free-surface flows with large topological changes and high density ratio. For accurate capturing of fluid interfaces, a novel higher-order bounded convection scheme is first constructed based on the total variation diminishing (TVD) concept and is then employed for the discretization of convection terms in Navier-Stokes, energy and transport equations. In the second step, the classical PISO algorithm is modified according to the two-step projection method (Chorin's model) and the combined model (PISOC) is then applied for the treatment of the pressure-velocity coupling. Moreover, the second-order accurate piecewise-linear interface reconstruction technique (PUC-ELVIRA) is used for determining the normal direction and curvature of the interface. The robustness and accuracy of the proposed models in handling multiphase flows with interface rupture and coalescence are verified against several experimental and numerical benchmark solutions such as: dam break, Rayleigh-Taylor instability, bubble rising, rotation of a slotted disk (Zalesak's problem), deformation of a 2D disk and pure convection of a step profile. The results show that, the proposed third-order TVD flux-limiter scheme can considerably reduce the false-diffusion errors and ensure the boundedness of the volume fraction while retaining the sharpness and shape of the interface. Furthermore, it is found that the proposed PISOC algorithm has strong stability and convergence characteristics in strongly coupled multiphase problems and is less susceptible to divergence when larger pressure under-relaxation factor is used. The performance and effectiveness of the proposed modifications are further demonstrated by analyzing transient entropy generation due to conjugate natural convection heat transfer in two different canonical test cases (i.e. Differentially Heated Cavity and Rayleigh-Benard Convection) and good agreements are found with previously published works.
机译：目前研究的主要目的是提高流体体积（VOF）方法的稳定性和准确性，用于以大的拓扑变化和高密度比对自由表面流动进行建模。为了精确地捕获流体接口，首先基于总变化减少（TVD）概念的总变化，然后用于在Navier-Stokes，能量和传输方程中的对流术语的离散化来构建新的高阶界限对流方案。在第二步中，根据两步投影方法（Chorin模型）修改经典的PISO算法，然后将组合的模型（Pisoc）施加用于处理压力速度耦合。此外，二阶精确分段 - 线性接口重建技术（PUC-ELVIRA）用于确定界面的正常方向和曲率。在处理具有接口破裂和聚结的处理多相流程中提出的模型的鲁棒性和准确性，验证了诸如：坝断裂，瑞利 - 泰勒不稳定，泡沫上升，开槽盘的旋转（Zalesak的问题），验证了多种实验和数值基准和聚结的鲁棒性和准确性2D磁盘的变形和步进轮廓的纯对流。结果表明，所提出的三阶TVD通量限制器方案可以显着降低假扩散误差并确保体积分数的界限，同时保持界面的清晰度和形状。此外，发现所提出的PISOC算法具有强的稳定性和收敛特性，在强烈耦合的多相问题中，当使用较大的压力下放松因子时，易于发散的易感性。通过分析由于两个不同的规范测试用例（即差分加热腔和瑞利Benard对流）的缀合物自然对流传热而分析瞬时熵生成，进一步证明了所提出的修改的性能和有效性。

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