A new alternating bi-diagonal compact scheme for non-uniform grids
A new alternating bi-diagonal compact scheme for non-uniform grids
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DOI：
10.1016/j.jcp.2016.01.014
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发表时间：
2016-04
期刊：
影响因子：
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通讯作者：
T. Sengupta;A. Sengupta
中科院分区：
文献类型：
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作者：
T. Sengupta;A. Sengupta
本文提出了一种适用于任意非均匀网格的紧致格式。紧凑的计划已开发的空间离散和分析这里结合四阶段，四阶龙格库塔（RK 4）的时间积分方案，同时解决一维对流方程。通过对系统进行作者小组开发的全局谱分析（GSA）来校准时空离散组合。在这里，紧凑的计划已获得通过使用两个双对角计划的组合。该方案的新颖之处在于它直接在物理平面上应用，而不需要映射或变换。本文研究了声学和流体力学中的一些典型问题，并通过求解盖驱动空腔的Navier-Stokes方程，展示了其在大涡模拟中的潜在应用。
A new compact scheme has been developed for any non-uniform grid. The compact scheme has been developed for spatial discretization and is analyzed here in conjunction with four-stage, fourth order Runge–Kutta (RK4) scheme for time integration while solving the one-dimensional convection equation. The space–time discretization combination is calibrated by subjecting the system to global spectral analysis (GSA) which was developed by the authors' group. Here, the compact scheme has been obtained by using a combination of two bi-diagonal schemes. The novel aspect of this scheme is its application in the physical plane directly without the necessity of mapping or transformations. Some typical cases for problems in acoustics, as well as fluid mechanics, have been studied here and potential use in large eddy simulations (LES) has been demonstrated by solving Navier–Stokes equation for lid driven cavity.