The Leray-αβ-deconvolution model
作者： Abigail L. Bowers , Tae-Yeon Kim , Monika Neda , Leo G. Rebholz , Eliot Fried
DOI: 10.1016/J.APM.2012.03.040
关键词: Deconvolution 、 Scale model 、 Classical mechanics 、 Navier–Stokes equations 、 Finite element method 、 Dissipation 、 Energy cascade 、 Mathematics 、 Applied mathematics 、 Nonlinear system 、 Microscale chemistry
摘要: Abstract We study a fluid–flow regularization based on the Leray- α model that uses deconvolution in nonlinear term and dissipation scale modeling viscous term. In particular, we establish this ‘Leray- β -deconvolution model’ has an energy cascade with enhanced enlarges microscale of relative to Kolmogorov microscale, but captures more small scales than does model. These theoretical results are confirmed via numerically determined spectra. also propose analyze efficient finite-element algorithm method for proposed addition establishing stability method, essential ingredient any numerical study, demonstrate convergence Navier–Stokes solution. A experiment two-dimensional flow around obstacle is discussed. Results show enhancing can significantly increase accuracy.
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