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 …

A fifth-order low-dissipation discontinuity-resolving TENO scheme for compressible flow simulation

T Liang, F Xiao, W Shyy, L Fu - Journal of Computational Physics, 2022 - Elsevier
For compressible flows characterized by a wide range of flow length scales and
discontinuities, it is still an open challenge to design the optimal schemes, which resolve the …

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 …

Very-high-order TENO schemes with adaptive accuracy order and adaptive dissipation control

L Fu - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
In this paper, a new family of very-high-order TENO schemes with adaptive accuracy order
and adaptive dissipation control (TENO-AA) is proposed. The new framework allows for …

改进的五阶WENO-Z-格式

骆信, 吴颂平 - 力学学报, 2019 - lxxb.cstam.org.cn
WENO-Z+\! 格式的性能提升依赖于新增项的作用, 该项的作用是在WENO-Z
格式的基础上进一步增大欠光滑子模板上的权重. 系数\lambda 被设置用来调控该项的作用 …

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 …

A new type of non-polynomial based TENO scheme for hyperbolic conservation laws

T Liang, L Fu - Journal of Computational Physics, 2024 - Elsevier
For classical WENO/TENO reconstructions, the high-order polynomial interpolation is one of
the main building-blocks for constructing the numerical fluxes. However, due to the inherent …

A new troubled cell indicator and a new limiter based on TENO schemes for RKDG methods

H Huang, L Fu - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Abstract Runge–Kutta discontinuous Galerkin (RKDG) methods are widely used for solving
hyperbolic conservation laws, supplemented with troubled cell indicators and limiters to …

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 …