@Article{CiCP-26-311,
author = {Lin Fu, Xiangyu Hu and Nikolaus A. Adams},
title = {A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {2},
pages = {311--345},
abstract = {<p style="text-align: justify;">Even for state-of-the-art implicit LES (ILES) methods, where the truncation
error acts as physically-motivated subgrid-scale model, simultaneously resolving turbulent and genuine non-turbulent subgrid scales is an open challenge. For the purpose
of dealing with non-turbulent subgrid scales, such as shocks, extra sensors, which often are case-dependent, are generally employed. The problem originates in the lack of
scale-separation between low-wavenumber resolved-scale regions, high-wavenumber
resolved or non-resolved fluctuations, and discontinuities. The targeted ENO (TENO)
approach allows for separately designing the dispersive and dissipative truncation
error components. Thus it provides a suitable environment to develop an implicit
LES model. In this paper, we extend previous work and propose a variant of TENO
family scheme [Fu et al., JCP 305 (2016): 333-359], which can separate resolved and
nonresolved scales effectively. The novel idea is to propose a nonlinear dissipation-control strategy by adapting the cut-off parameter C<sub>T</sub> dynamically while measuring
the nonsmoothness based on the first-order undivided difference. Low-wavenumber
smooth scales are handled by an optimized linear scheme while high-wavenumber
components, that involve nonresolved fluctuations and discontinuities, are subjected
to adaptive nonlinear dissipation. A set of benchmark simulations with a wide range of
length-scales and with discontinuities has been conducted without specific parameter
adaptation. Numerical experiments demonstrate that the proposed TENO8-A scheme
exhibits robust shock-capturing and high wave-resolution properties, and that it is
suitable for simulating flow fields that contain isotropic turbulence and shocks. It is a
promising alternative to other viable approaches.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0145},
url = {http://global-sci.org/intro/article_detail/cicp/13094.html}
}