Implicit les for two-dimensional turbulence using shock capturing monotone scheme

Keiichi Ishiko, Naofumi Ohnishi, Keisuke Sawada

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Citations (Scopus)


The Weighted Compact Nonlinear Scheme (WCNS) developed by Deng et al. is applied to implicit LES of two-dimensional and three-dimensional homogeneous turbulent flowfield. Comparisons of the obtained energy spectrum with that given by Kawamura-Kuwahara scheme are made. It is shown that WCNS can reproduce inertial range in the energy spectrum fairly well for two-dimensional flowfield. A truncation of energy spectrum naturally occurs at high wave number limit with a favorable dissipative effect. Comparisons of the computed results with those given by Kawamura-Kuwahara scheme indicate that WCNS is more preferable to implicit LES in terms of numerical accuracy. However, for three-dimensional flowfield, the computed inertial range using WCNS is less obvious probably due to insufficient mesh resolution. In this study, we also consider a problem of two-dimensional inviscid double shear layer. This problem is solved by WCNS scheme for incompressible flow and also that for compressible flow. It is found that WCNS for compressible flow can reproduce the vorticity field of incompressible flow fairly well, though a slightly more dissipative nature is implied.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Number of pages12
ISBN (Print)1563478072, 9781563478079
Publication statusPublished - 2006
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, NV, United States
Duration: 2006 Jan 92006 Jan 12

Publication series

NameCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting


Conference44th AIAA Aerospace Sciences Meeting 2006
Country/TerritoryUnited States
CityReno, NV


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