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Volume 35, Issue 2
High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

Jiahong Cai, Shengye Wang & Wei Liu

Commun. Comput. Phys., 35 (2024), pp. 395-426.

Published online: 2024-03

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  • 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.

  • AMS Subject Headings

35L65, 65M06, 76F50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-35-395, author = {Cai , JiahongWang , Shengye and Liu , Wei}, title = {High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow}, journal = {Communications in Computational Physics}, year = {2024}, volume = {35}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2023-0164}, url = {http://global-sci.org/intro/article_detail/cicp/22945.html} }
TY - JOUR T1 - High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow AU - Cai , Jiahong AU - Wang , Shengye AU - Liu , Wei JO - Communications in Computational Physics VL - 2 SP - 395 EP - 426 PY - 2024 DA - 2024/03 SN - 35 DO - http://doi.org/10.4208/cicp.OA-2023-0164 UR - https://global-sci.org/intro/article_detail/cicp/22945.html KW - Weighted compact nonlinear scheme, high-order, shock-capturing, compressible turbulence. AB -

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.

Cai , JiahongWang , Shengye and Liu , Wei. (2024). High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow. Communications in Computational Physics. 35 (2). 395-426. doi:10.4208/cicp.OA-2023-0164
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