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 …

A class of high-order finite difference schemes with minimized dispersion and adaptive dissipation for solving compressible flows

Y Li, C Chen, YX Ren - Journal of Computational Physics, 2022 - Elsevier
For the compressible flows with broadband length scales, good dispersion and dissipation
properties are crucial for the numerical schemes to realize high-fidelity simulations. It has …

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 new smoothed particle hydrodynamics method based on high-order moving-least-square targeted essentially non-oscillatory scheme for compressible flows

T Gao, T Liang, L Fu - Journal of Computational Physics, 2023 - Elsevier
In this study, we establish a hybrid high-order smoothed particle hydrodynamics (SPH)
framework (MLS-TENO-SPH) for compressible flows with discontinuities, which is able to …

Assessment of low-dissipative shock-capturing schemes for the compressible Taylor–Green vortex

DJ Lusher, ND Sandham - AIAA Journal, 2021 - arc.aiaa.org
Interactions between shock waves and turbulence are ubiquitous in high-speed flows of
practical aeronautical interest. Recent advances in computational power have made implicit …

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 the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high‐speed compressible flows

A Hamzehloo, DJ Lusher, S Laizet… - … Journal for Numerical …, 2021 - Wiley Online Library
High‐speed compressible turbulent flows typically contain discontinuities and have been
widely modeled using Weighted Essentially Non‐Oscillatory (WENO) schemes due to their …

Gradient based reconstruction: inviscid and viscous flux discretizations, shock capturing, and its application to single and multicomponent flows

AS Chamarthi - Computers & Fluids, 2023 - Elsevier
This paper presents a gradient-based reconstruction approach for simulations of
compressible single and multi-species Navier–Stokes equations. The novel feature of the …