A spectral projection method for the simulation of complex three-dimensional rotating flows
A spectral projection method for the simulation of complex three-dimensional rotating flows
复制标题
复杂三维旋转流模拟的谱投影法
DOI：
10.1016/s0045-7930(01)00070-6
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发表时间：
2002
影响因子：
2.8
通讯作者：
P. Bontoux
中科院分区：
文献类型：
--
作者：
I. Raspo;Sandrine Hugues;E. Serre;A. Randriamampianina;P. Bontoux
本文提出了一种有效的投影方法来求解三维含时不可压Navier-Stokes方程的原始变量谱近似。该方法基于Goda [J.Comp.Phys.30（1979）76]提出的算法的修改。它通过引入压力的初始步骤以允许边界处的正常压力梯度的时间演变而带来改进。通过与Goda算法的比较，证明了该算法的有效性.然后，修改后的投影方法被应用到复杂的三维流动的模拟旋转腔，涉及无论是通流或差分旋转。
In this paper, we present an efficient projection method to solve the three-dimensional time-dependent incompressible Navier–Stokes equations in primitive variables formulation using spectral approximations. This method is based on a modification of the algorithm proposed by Goda [J. Comp. Phys. 30 (1979) 76]. It brings an improvement by introducing a preliminary step for the pressure in order to allow a temporal evolution of the normal pressure gradient at the boundaries. Its efficiency is brought to the fore by comparison with the Goda's algorithm. The modified projection method is then applied to the simulation of complex three-dimensional flows in rotating cavities, involving either a throughflow or a differential rotation.