Comparison of spectral method and lattice Boltzmann simulations of two‐dimensional hydrodynamics
Comparison of spectral method and lattice Boltzmann simulations of two‐dimensional hydrodynamics
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DOI：
10.1063/1.868296
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发表时间：
1993-03
影响因子：
4.6
通讯作者：
D. Martínez;W. Matthaeus;Shiyi Chen;D. Montgomery
中科院分区：
文献类型：
--
作者：
D. Martínez;W. Matthaeus;Shiyi Chen;D. Montgomery
采用谱方法和新的格子Boltzmann方程(LBE)格式给出了二维N-S方程的数值解。在全球数量和能谱上都发现了非常好的一致性。事实上，LBE格式提供了相当准确的Navier-Stokes方程和等温状态方程的解，在几乎不可压缩的极限下。在两次运行中也观察到了松弛到先前报道的“Sinh-Poisson”状态。
Numerical solutions of the two‐dimensional Navier–Stokes equations are presented by two methods; spectral and the novel lattice Boltzmann equation (LBE) scheme. Very good agreement is found for global quantities as well as energy spectra. The LBE scheme is, indeed, providing reasonably accurate solutions of the Navier–Stokes equations with an isothermal equation of state, in the nearly incompressible limit. Relaxation to a previously reported ‘‘sinh‐Poisson’’ state is also observed for both runs.