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 …

Progress in physical modeling of compressible wall-bounded turbulent flows

C Cheng, X Chen, W Zhu, W Shyy, L Fu - Acta Mechanica Sinica, 2024 - Springer
Understanding, modeling and control of the high-speed wall-bounded transition and
turbulence not only receive wide academic interests but also are vitally important for high …

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 …

[HTML][HTML] A relaxed a posteriori MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes

P Tsoutsanis, MSSP Kumar, PS Farmakis - Applied Mathematics and …, 2023 - Elsevier
In this paper the relaxed, high-order, Multidimensional Optimal Order Detection (MOOD)
framework is extended to the simulation of compressible multicomponent flows on …

[HTML][HTML] Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes

V Maltsev, D Yuan, KW Jenkins, M Skote… - Journal of …, 2023 - Elsevier
In this paper we develop a family of arbitrarily high-order non-oscillatory hybrid
Discontinuous Galerkin (DG)-Finite Volume (FV) schemes for mixed-element unstructured …

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 …

[HTML][HTML] A short note on a 3D spectral analysis for turbulent flows on unstructured meshes

P Tsoutsanis, X Nogueira, L Fu - Journal of Computational Physics, 2023 - Elsevier
We propose two techniques for computing the energy spectra for 3D unstructured meshes
that are consistent across different element types. These techniques can be particularly …

[HTML][HTML] GALÆXI: Solving complex compressible flows with high-order discontinuous Galerkin methods on accelerator-based systems

M Kurz, D Kempf, MP Blind, P Kopper… - Computer Physics …, 2025 - Elsevier
This work presents GALÆXI as a novel, energy-efficient flow solver for the simulation of
compressible flows on unstructured hexahedral meshes leveraging the parallel computing …

[HTML][HTML] SOD2D: A GPU-enabled Spectral Finite Elements Method for compressible scale-resolving simulations

L Gasparino, F Spiga, O Lehmkuhl - Computer Physics Communications, 2024 - Elsevier
As new supercomputer architectures become more heavily focused on using hardware
accelerators, in particular general-purpose graphical processors, it is therefore relevant that …