Computers & Fluids ( IF 2.5 ) Pub Date : 2021-07-15 , DOI: 10.1016/j.compfluid.2021.105069 Pierre Lallemand 1 , Lizhen Chen 1 , Gérard Labrosse 1, 2 , Li–Shi Luo 1, 3
The Stokes eigenmodes on two-dimensional regular polygons of apexes, , are studied numerically using two different solvers: the lattice Boltzmann equation and the Legendre–Galerkin spectral element method. In particular, the lowest 55 eigenmodes on regular -polygons have been computed and investigated for the following properties including (a) symmetries, (b) the asymptotic behaviour of the Stokes eigenvalues in the limit of the apex number , i.e., in the limit of a regular -polygon becoming its circumcircle, (c) the splitting doublet modes due to boundary geometry of -polygons, and (d) the one-to-one correspondence between the Stokes modes on regular -polygons and on the disc.
中文翻译:
二维正多边形上的斯托克斯本征模
二维正多边形上的斯托克斯本征模 顶点, , 使用两种不同的求解器进行数值研究:格子玻尔兹曼方程和勒让德-伽辽金谱元法。特别是,常规上最低的 55 个本征模-polygons 已针对以下属性进行计算和研究,包括 (a) 对称性,(b) 斯托克斯特征值的渐近行为 在顶点数的限度内 ,即在正则的极限-多边形成为其外接圆,(c)由于边界几何形状的分裂双峰模式 -polygons,以及 (d) Stokes 模式之间的一一对应关系 -多边形和光盘上。