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High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

Year:    2024

Author:    Jiahong Cai, Shengye Wang, Wei Liu

Communications in Computational Physics, Vol. 35 (2024), Iss. 2 : pp. 395–426

Abstract

In the numerical simulation of compressible turbulence involving shock waves, accurately capturing the intricate vortex structures and robustly computing the shock wave are imperative. Employing a high-order scheme with adaptive dissipation characteristics proves to be an efficient approach in distinguishing small-scale vortex structures with precision while capturing discontinuities. However, differentiating between small-scale vortex structures and discontinuities during calculations has been a key challenge. This paper introduces a high-order adaptive dissipation central-upwind weighted compact nonlinear scheme based on vortex recognition (named as WCNS-CU-Ω), that is capable of physically distinguishing shock waves and small-scale vortex structures in the high wave number region by identifying vortices within the flow field, thereby enabling adaptive control of numerical dissipation for interpolation schemes. A variety of cases involving Euler, N-S even RANS equations are tested to verify the performance of the WCNS-CU-Ω scheme. It was found that this new scheme exhibits excellent small-scale resolution and robustness in capturing shock waves. As a result, it can be applied more broadly to numerical simulations of compressible turbulence.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2023-0164

Communications in Computational Physics, Vol. 35 (2024), Iss. 2 : pp. 395–426

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    32

Keywords:    Weighted compact nonlinear scheme high-order shock-capturing compressible turbulence.

Author Details

Jiahong Cai

Shengye Wang

Wei Liu

  1. A dynamic temporal scale equation for hybrid temporal large eddy simulation

    Cai, Jiahong

    Wang, Shengye

    Zou, Shufan

    Liu, Wei

    Physics of Fluids, Vol. 37 (2025), Iss. 1

    https://doi.org/10.1063/5.0245735 [Citations: 0]