论文标题
晶格Boltzmann方法中的流量计算
Flow force calculation in Lattice Boltzmann Method
论文作者
论文摘要
我们在悬浮在粘性流体中的刚性固体颗粒上重新审视力评估方法，并通过晶格玻尔兹曼方法（LBM）模拟。我们指出了在力评估程序中流媒体和碰撞算子的不交流性，并为该观察结果提供了理论上的解释。基于此分析，我们提出了一种具有增强精度的离散力计算方案。所提出的方案本质上是在晶格Boltzmann公式的背景下，雷诺传输定理（RTT）的晶格版本。除了保持令人满意的可靠性和准确性水平外，该方法还以简单且透明的方式处理了对复杂几何形状的强制评估。我们对NACA0012机翼进行模拟，以范围从100到0.5x10^6，并表明当前方法大大减少了准确的力量评估的网格大小所需。
We revisit force evaluation methodologies on rigid solid particles suspended in a viscous fluid and simulated via lattice Boltzmann method (LBM). We point out the non-commutativity of streaming and collision operators in the force evaluation procedure and provide a theoretical explanation for this observation. Based on this analysis, we propose a discrete force calculation scheme with enhanced accuracy. The proposed scheme is essentially a lattice version of the Reynolds Transport Theorem (RTT) in the context of the lattice Boltzmann formulation. Besides maintaining satisfactory levels of reliability and accuracy, the method also handles force evaluation on complex geometries in a simple and transparent way. We run simulations for NACA0012 airfoil for a range of Reynolds numbers ranging from 100 to 0.5x10^6 and show that the current approach significantly reduces the grid size requirement for accurate force evaluation.
