A proposed simplification of the adaptive local deconvolution method
S. Hickel, N.A. Adams (2006)
European Series in Applied and Industrial Mathematics 16: 66-76. doi: 10.1051/proc:2007008
The adaptive local deconvolution method (ALDM) [Hickel, Adams and Domaradzki. J. Comp. Phys., 213:413436, 2006] provides a systematic framework for the implicit large-eddy simulation (ILES) of turbulent flows. Subject of the present paper is a modification of the numerical algorithm that allows for reducing the amount of computational operations without affecting the quality of the results.
An adaptive local deconvolution method for implicit LES
S. Hickel, N.A. Adams, J.A. Domaradzki (2006)
Journal of Computational Physics 213: 413-436. doi: 10.1016/j.jcp.2005.08.017
The adaptive local deconvolution method (ALDM) is proposed as a new nonlinear discretization scheme designed for implicit large-eddy simulation (ILES) of turbulent flows. In ILES the truncation error of the discretization of the convective terms functions as a subgrid-scale model. Therefore, the model is implicitly contained within the discretization, and an explicit computation of model terms becomes unnecessary.
Implicit subgrid-scale modeling by adaptive local deconvolution
S. Hickel, N.A. Adams (2004)
Proceedings in Applied Mathematics and Mechanics 4: 460-461. doi: 10.1002/pamm.200410211
A class of implicit Subgrid-Scale (SGS) models for Large-Eddy Simulation (LES) is obtained from a new approach for the finite-volume discretization of hyperbolic conservation laws. The extension of a standard deconvolution operator and the choice of a suitable numerical flux function result in a truncation error that can be forced to act as a physical turbulence model.