Interpolated Differential Operator (IDO) Scheme for Direct Numerical Simulation of Two-Dimensional Homogeneous Isotropic Turbulence
Interpolated Differential Operator (IDO) Scheme for Direct Numerical Simulation of Two-Dimensional Homogeneous Isotropic Turbulence
复制标题
二维均匀各向同性湍流直接数值模拟的插值微分算子 (IDO) 方案
DOI：
10.1299/kikaib.70.2791
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
M. Tanahashi
中科院分区：
文献类型：
--
作者：
T. Kobara;T. Aoki;M. Tanahashi
采用基于空间离散的高精度插值微分算子（IDO）格式对二维均匀各向同性湍流进行了直接数值模拟（DNS）。采用五阶Hermite插值和四阶Runge-Kutta时间积分方法。在与谱方法相同的条件下（初始和边界条件、可比网格数和时间步长），用SMAC算法求解不可压Navier-Stokes方程。结果表明，IDO格式在所有统计量和能谱上都具有与谱方法相当的精度。
Direct Numerical Simulation (DNS) of two-dimensional homogeneous isotropic turbulence is conducted using the Interpolated Differential Operator (IDO) scheme, which is highly accurate numerical scheme based on spatial discretization. Fifth-order Hermite interpolation and four stage Runge-Kutta time integration methods are employed. The incompressible Navier-Stokes equation is solved by the SMAC algoritim under the same conditions (initial and boundary conditions, comparable grid number, and time step) as the spectral method. It is found that the present IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum.