Abstract Particulate flows with thermal convection are very challenging to simulate numerically due to the existence of constantly moving boundaries and complex heat-fluid coupling effects. Meshfree and particle methods have special advantages in modeling complex fluid flows with moving boundaries. However, previous works based on meshfree modeling mainly focused on either particulate flows only with momentum exchange or natural thermal convection. In this paper, a finite particle method integrated with particle shifting technique (FPM-PST) is developed for modeling particulate flows with thermal convection. FPM is an improved smoothed particle hydrodynamics (SPH) method with better accuracy while extremely irregular particle distribution may lead to ill-conditioned corrective matrix and terminate the simulation. PST can achieve regular particle distribution through shifting highly disordered particles while current PST is based on conventional SPH of poor accuracy. A number of numerical examples demonstrated that FPM-PST is a novel approach for modeling thermal particulate flows with good performance in accuracy and stability. It has better accuracy than the conventional SPH and can obtain comparable results with those from other sources. The unphysical voids can also be avoided by FPM-PST. From the FPM-PST simulations, it is observed that at relatively low Reynolds numbers thermal convection between hotter or colder particles and the fluid causes significant increase or decrease in the drag force acting on particles, while the thermal convection has little influence on the particle motion at relatively high Reynolds numbers.

中文翻译：

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用粒子移动技术模拟具有热对流的粒子流的有限粒子方法

摘要 由于存在不断移动的边界和复杂的热流体耦合效应，具有热对流的颗粒流在数值模拟中非常具有挑战性。无网格和粒子方法在模拟具有移动边界的复杂流体流动方面具有特殊优势。然而，以前基于无网格建模的工作主要集中在仅具有动量交换或自然热对流的颗粒流。在本文中，开发了一种与粒子移动技术 (FPM-PST) 相结合的有限粒子方法，用于模拟具有热对流的颗粒流。FPM 是一种改进的平滑粒子流体动力学 (SPH) 方法，具有更好的精度，而极不规则的粒子分布可能会导致校正矩阵病态并终止模拟。PST 可以通过移动高度无序的粒子来实现规则的粒子分布，而当前的 PST 是基于精度较差的传统 SPH。许多数值例子表明，FPM-PST 是一种新的热颗粒流建模方法，具有良好的精度和稳定性。它比传统的 SPH 具有更好的精度，并且可以获得与其他来源的结果相当的结果。FPM-PST 也可以避免非物理空隙。从 FPM-PST 模拟可以看出，在相对较低的雷诺数下，较热或较冷的颗粒与流体之间的热对流会导致作用在颗粒上的阻力显着增加或减少，而热对流对颗粒运动的影响很小在相对较高的雷诺数。