论文标题
在非结构化移动网上可压缩流的晶格玻尔兹曼模型的任意拉格朗日 - 欧拉
Arbitrary Lagrangian-Eulerian formulation of lattice Boltzmann model for compressible flows on unstructured moving meshes
论文作者
论文摘要
我们建议将任意的拉格朗日 - 欧拉（ALE）技术应用于可压缩的晶格玻尔兹曼模型，以模拟非结构化网格上移动边界问题的模拟。为此，动力学方程是从移动的物理域映射到固定的计算域。然后，使用非结构化网格上的二阶精确元件重建来对计算域中的结果方程进行数值求解。结果表明，需要在ALE Navier-Stokes求解器中进行特殊处理的几何保护法（GCL）的问题并未出现在这里，并且该模型完全满足GCL。该模型已通过一组模拟验证，包括均匀的流量保存和可压缩流，并以不同的马赫数下降和俯仰动作超过机翼。证明结果与文献中的实验和其他可用数值结果非常吻合。最后，为了显示所提出的求解器在模拟高速流中的能力，研究了跨式式式机翼上的跨音速流。结果表明，所提出的模型能够捕获该流量的复杂特征，该流程涉及与边界和剪切层相互作用的多个弱冲击波。
We propose the application of the arbitrary Lagrangian-Eulerian (ALE) technique to a compressible lattice Boltzmann model for the simulation of moving boundary problems on unstructured meshes. To that end, the kinetic equations are mapped from a moving physical domain into a fixed computational domain. The resulting equations in the computational domain are then numerically solved using the second-order accurate finite element reconstruction on an unstructured mesh. It is shown that the problem regarding the geometric conservation law (GCL), which needs a special treatment in the ALE Navier-Stokes solvers, does not appear here and the model satisfies the GCL exactly. The model is validated with sets of simulations including uniform flow preservation and compressible flow past airfoil with plunging and pitching motions at different Mach numbers. It is demonstrated that the results are in good agreement with the experimental and other available numerical results in the literature. Finally, in order to show the capability of the proposed solver in simulating high-speed flows, transonic flow over pitching airfoil is investigated. It is shown that the proposed model is able to capture the complex characteristics of this flow which involves multiple weak shock waves interacting with the boundary and shear layers.
