High-Order Finite-Difference Method for Incompressible Flows Using Collocated Grid System
High-Order Finite-Difference Method for Incompressible Flows Using Collocated Grid System
复制标题
使用并置网格系统的不可压缩流动的高阶有限差分法
DOI：
10.1299/jsmeb.41.830
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Y. Miyake
中科院分区：
文献类型：
--
作者：
T. Kajishima;T. Ohta;K. Okazaki;Y. Miyake
为了将湍流的直接数值模拟（DNS）和大涡模拟（LES）应用于复杂几何形状的流场，发展了贴体坐标系下的高阶有限差分方法（FDM）。讨论了同位网格下有限差分法的一致性和守恒性。作为数值算例，给出了衰减各向同性湍流的DNS结果和平面槽道流的DNS/LES结果，并考察了变量布置的影响。在同位网格上对梯度形式的一致插值方法的计算结果与其它适当的有限差分方法和谱方法的计算结果符合得很好
To apply the direct numerical simulation (DNS) and the large-eddy simulation (LES) of turbulence to flow fields of complicated geometry, a higher-order finite difference method (FDM) has been developed for the body-fitted coordinate system. The consistency and the conservat ior property of FDMs are discussed for the collocated grid. As numerical examples, DNS results of decaying isotropic turbulence and DNS/LES results for plane channel flow are shown and the influence of variable arrangement is examined. The results by the consistent 'interpolation' method for gradient form on the collocated grid agree well with those by other proper FDMs and the spectral method