ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Smooth TENO nonlinear weighting for WCNS scheme
Received date: 2023-05-29
Revised date: 2023-06-29
Accepted date: 2023-07-13
Online published: 2023-07-14
Supported by
National Natural Science Foundation of China(92041001);Natural Science Foundation of Jiangsu Province(BK20200069);National Science and Technology Major Project （2017-Ⅲ-0005-0029, J2019-Ⅲ-0015-0059）
Compressible turbulent flow widely exists in the aerospace field， and the coexistence of shock discontinuity and multi-scale turbulence in the flow field poses a challenge for high-precision numerical simulation. To improve the accuracy of complex turbulence simulation， in the framework of the Weighted Compact Nonlinear Scheme （WCNS）， a WCNS-T scheme based on the Targeted Essentially Non-Oscillatory （TENO） weighting strategy is developed， and a smooth S-TENO nonlinear weighting method and its WCNS-ST scheme are further proposed from the perspectives of both numerical convergence and accuracy. The developed WCNS-ST scheme is tested for its ability to capture discontinuous and high-frequency waves through spectral analysis， one-dimensional Lax and Osher-Shu examples， and two-dimensional dual Mach reflection examples. Based on further numerical tests of steady laminar flow past a circular cylinder and unsteady self-adaptive turbulence eddy simulation of a 30P30N multi-element airfoil， the convergence characteristics of the original TENO weighting and the current S-TENO weighting in viscous complex flows， as well as their impact on numerical calculation results， are compared. The results show that the proposed S-TENO nonlinear weighting maintains the dispersion and dissipation characteristics of the original TENO nonlinear weighting and its ability to capture shock waves， significantly improving the problem of excessive nonlinear dissipation in WCNS-JS and WCNS-Z schemes； meanwhile， S-TENO nonlinear weighting significantly eases the convergence difficulties caused by weight discontinuity in the original TENO nonlinear weighting. The above results indicate that the proposed smooth S-TENO nonlinear weighting and its WCNS-ST scheme take into account both accuracy and convergence in numerical simulations of complex flow configurations， making them more suitable for complex engineering applications.
Wenchang WU , Yankai MA , Xingsi HAN , Yaobing MIN , Zhenguo YAN . Smooth TENO nonlinear weighting for WCNS scheme[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2024 , 45(8) : 129052 -129052 . DOI: 10.7527/S1000-6893.2023.29052
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