DIRECT NUMERICAL SIMULATION OF TURBULENCE USING DIVERGENCE-FREE WAVELETS

DIRECT NUMERICAL SIMULATION OF TURBULENCE USING DIVERGENCE-FREE WAVELETS
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DOI:
10.1137/070701017
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发表时间:
2008-01-01
影响因子:
1.6
通讯作者:
Perrier, Valerie
Perrier, Valerie
中科院分区:
数学3区
文献类型:
--
作者:
Deriaz, Erwan;Perrier, Valerie

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提出了一种基于无散度小波的数值方法来求解不可压缩的Navier-Stokes方程。我们介绍了一种新的方案,它使用各向异性(或广义)无散度小波,并且只需要快速的小波变换算法。我们证明了它的稳定性,并进行了令人信服的数值实验。
We present a numerical method based on divergence-free wavelets to solve the incompressible Navier-Stokes equations. We introduce a new scheme which uses anisotropic ( or generalized) divergence-free wavelets and which needs only fast wavelet transform algorithms. We prove its stability and show convincing numerical experiments.