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 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 …

A deep reinforcement learning framework for dynamic optimization of numerical schemes for compressible flow simulations

Y Feng, FS Schranner, J Winter, NA Adams - Journal of Computational …, 2023 - Elsevier
Marginal or under-resolved simulations of compressible flow configurations that often occur
in practical applications classically are enabled by administering sufficient numerical …

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 …

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 …

[HTML][HTML] Enhanced fifth order WENO shock-capturing schemes with deep learning

T Kossaczká, M Ehrhardt, M Günther - Results in Applied Mathematics, 2021 - Elsevier
In this paper we enhance the well-known fifth order WENO shock-capturing scheme by
using deep learning techniques. This fine-tuning of an existing algorithm is implemented by …

A low-dissipation shock-capturing framework with flexible nonlinear dissipation control

Y Li, L Fu, NA Adams - Journal of Computational Physics, 2021 - Elsevier
In this work, a framework to construct arbitrarily high-order low-dissipation shock-capturing
schemes with flexible and controllable nonlinear dissipation for convection-dominated …