کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633833 1340680 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chebychev optimized approximate deconvolution models of turbulence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Chebychev optimized approximate deconvolution models of turbulence
چکیده انگلیسی

If the Navier–Stokes equations are averaged with a local, spacial convolution type filter, ϕ¯=gδ∗ϕ, the resulting system is not closed due to the filtered nonlinear term uu¯. An approximate deconvolution operator DD is a bounded linear operator which satisfiesu=D(u¯)+O(δα),where δδ is the filter width and α⩾2α⩾2. Using a deconvolution operator as an approximate filter inverse, yields the closureuu¯=D(u¯)D(u¯)¯+O(δα).The residual stress of this model (and related models) depends directly on the deconvolution error, u-D(u¯). This report derives deconvolution operators yielding an effective turbulence model, which minimize the deconvolution error for velocity fields with finite kinetic energy. We also give a convergence theory of deconvolution as δ→0δ→0, an ergodic theorem as the deconvolution order N→∞N→∞, and estimate the increase in accuracy obtained by parameter optimization. The report concludes with numerical illustrations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 208, Issue 1, 1 February 2009, Pages 106–118
نویسندگان
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