Review of the high-order TENO schemes for compressible gas dynamics and turbulence

L Fu - Archives of Computational Methods in Engineering, 2023 - Springer
For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

High-order finite-volume TENO schemes with dual ENO-like stencil selection for unstructured meshes

Z Ji, T Liang, L Fu - Journal of Scientific Computing, 2023 - Springer
The TENO-family schemes (Fu et al. in J Comput Phys 305: 333–359, 2016) have been
demonstrated to perform well for compressible gas dynamics and turbulent flow predictions …

A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws

S Takagi, L Fu, H Wakimura, F Xiao - Journal of Computational Physics, 2022 - Elsevier
The high-order low-dissipation shock-capturing scheme is important for compressible fluid
simulations, in particular for cases where both shock and turbulence present. However, the …

A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes

Z Ji, T Liang, L Fu - Journal of Scientific Computing, 2022 - Springer
The recently proposed high-order TENO scheme [Fu et al., Journal of Computational
Physics, 305 (2016): 333-359] has shown great potential in predicting complex fluids owing …

On shock sensors for hybrid compact/WENO schemes

GY Zhao, MB Sun, S Pirozzoli - Computers & Fluids, 2020 - Elsevier
We present a systematic framework for the evaluation of shock sensors in high-resolution
hybrid compact/WENO algorithms, with the goals of testing robustness and establishing …

A high-order weighted compact nonlinear scheme for compressible flows

T Hiejima - Computers & Fluids, 2022 - Elsevier
This paper presents a weighted compact nonlinear scheme (WCNS) with high-order
accuracy. The WCNS has the flexibility to select a numerical flux and is easily applied to …

An efficient hybrid multi-resolution WCNS scheme for solving compressible flows

Z Wang, J Zhu, C Wang, N Zhao - Journal of Computational Physics, 2023 - Elsevier
A hybrid finite difference fifth-order multi-resolution weighted compact nonlinear scheme
(WCNS) is presented for simulating the inviscid and viscous compressible flows in this …

WCNS schemes and some recent developments

Y Chen, X Deng - Advances in Aerodynamics, 2024 - Springer
Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing
schemes that are suitable for solving problems with discontinuous solutions. The schemes …

A simple extended compact nonlinear scheme with adaptive dissipation control

H Zhang, F Zhang, J Liu, JM McDonough… - … in Nonlinear Science and …, 2020 - Elsevier
Weighted compact nonlinear schemes (WCNSs)[1] are a popular family of high resolution
shock-capturing methods, of which the nonlinear interpolation procedure is essential for non …

Weighted compact nonlinear scheme based on smooth scale separation for self-adaptive turbulence eddy simulations

W Wu, X Han, Y Min, Y Ma, ZG Yan - Physics of Fluids, 2024 - pubs.aip.org
Multiscale compressible turbulent flow is widely present in the aerospace field, and the co-
existence of shock wave discontinuities and multi-scale turbulence in the flow field poses …