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 **ao, 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 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 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 high-order shock-capturing TENO scheme combined with skew-symmetric-splitting method for compressible gas dynamics and turbulence simulation

T Liang, L Fu - Computer Physics Communications, 2024 - Elsevier
The high-order shock-capturing scheme is one of the main building blocks for the simulation
of the compressible fluid characterized by strong shockwaves and broadband length scales …

[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 …

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 high-order diffuse-interface method with TENO-THINC scheme for compressible multiphase flows

Q Li, Y Lv, L Fu - International Journal of Multiphase Flow, 2024 - Elsevier
High-fidelity numerical simulation of compressible multi-phase flows is of great challenge
due to its competing requirements for resolving complex flow structures with low dissipation …

A hybrid WENO5IS-THINC reconstruction scheme for compressible multiphase flows

W Zhang, N Fleischmann, S Adami… - Journal of Computational …, 2024 - Elsevier
We present a hybrid reconstruction scheme for compressible multiphase flows governed by
the five-equation model with surface tension and molecular viscosity. The Godunov-type …

High-resolution boundary variation diminishing scheme for two-phase compressible flow with cavitation and evaporation

H Wakimura, T Li, KM Shyue, T Aoki, F **ao - Journal of Computational …, 2024 - Elsevier
We propose high-resolution numerical schemes for two-phase compressible flow
simulations to reproduce dynamically created gas/vapor-liquid interfaces with phase …