کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877706 | 1534094 | 2005 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Frame invariance and conservation in two-dimensional subgrid models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We explore how symmetry and conservation requirements affect the form of subgrid models in large eddy simulations (LES) of two-dimensional incompressible turbulence. We expose two possible strategies that can be adopted in order to preserve these symmetries in the two-dimensional case: a representational approach where the invariance properties are taken as the basic ingredient guiding the formulation of the model and the variational Euler-Poincaré procedure where the invariance properties are a built-in feature of the resulting Euler-α equations. Assuming spatial locality, we find that at leading order in spatial derivatives of the resolved velocity field, the only compatible model is the strain-diffusivity model. Formal analogies between the Euler-α model and the strain-diffusivity model allow us to derive a new “Ï-α” model with conservation properties presumably more suited to the two-dimensional situation. In this process, the strain-diffusivity operator appears as a truncated version of both Euler-α and “Ï-α” models. The numerical properties of the three considered models are estimated and discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 202, Issues 1â2, 1 March 2005, Pages 1-15
Journal: Physica D: Nonlinear Phenomena - Volume 202, Issues 1â2, 1 March 2005, Pages 1-15
نویسندگان
Thomas Dubos,