On the Stolz-Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows
نویسندگان
چکیده
We consider a family of large-eddy simulation (LES) models with an arbitrarily high consistency error O(δ2N+2) for N = 1, 2, 3, . . . that are based on the van Cittert deconvolution procedure. This family of models has been proposed and tested for LES with success by Adams and Stolz in a series of papers, e.g., [Deconvolution methods for subgrid-scale approximation in largeeddy simulation, in Modern Simulation Strategies for Turbulent Flow, R. T. Edwards, Philadelphia, 2001, pp. 21–41], [Phys. Fluids, 11 (1999), pp. 1699–1701]. We show that these models have an interesting and quite strong stability property. Using this property we prove an energy equality, existence, uniqueness, and regularity of strong solutions and give a rigorous bound on the modeling error ‖u−w‖, where w is the model’s solution and u is the true flow averages.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 37 شماره
صفحات -
تاریخ انتشار 2006