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 unified framework for non-linear reconstruction schemes in a compact stencil. Part 1: Beyond second order

X Deng - Journal of Computational Physics, 2023 - Elsevier
Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

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 …

Theoretical and experimental study of bubble dynamics in underwater explosions

S Wang, Q Gui, J Zhang, Y Gao, J Xu, X Jia - Physics of Fluids, 2021 - pubs.aip.org
The development of analytical theory and experimental methods for understanding the
correlation between the explosive properties and bubble dynamic characteristics in …

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 fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm

X Deng, Y Shimizu, F Xiao - Journal of Computational Physics, 2019 - Elsevier
A novel 5th-order shock capturing scheme is presented in this paper. The scheme, so-called
P 4 T 2− BVD (polynomial of 4-degree and THINC function of 2-level reconstruction based …

Self-adjusting steepness-based schemes that preserve discontinuous structures in compressible flows

Z He, Y Ruan, Y Yu, B Tian, F Xiao - Journal of Computational Physics, 2022 - Elsevier
Although conventional total-variation-diminishing schemes can capture discontinuities with
essentially non-oscillatory properties and are nominal of second-order accuracy in smooth …

Constructing higher order discontinuity-capturing schemes with upwind-biased interpolations and boundary variation diminishing algorithm

X Deng, Y Shimizu, B Xie, F Xiao - Computers & Fluids, 2020 - Elsevier
Based on the fifth-order scheme in our previous work (Deng et. al (2019)[28]), a new
framework of constructing very high order discontinuity-capturing schemes is proposed for …

Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids

L Cheng, X Deng, B Xie, Y Jiang, F Xiao - Journal of Computational …, 2021 - Elsevier
Solving compressible flows containing both smooth and discontinuous flow structures still
remains a big challenge for finite volume methods, especially on unstructured grids where …

A new formulation for two-wave Riemann solver accurate at contact interfaces

X Deng, P Boivin, F Xiao - Physics of Fluids, 2019 - pubs.aip.org
This study proposes a new formulation for the Harten, Lax, and van Leer (HLL) type
Riemann solver which is capable of solving contact discontinuities accurately but with …