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 …

High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces

X Deng, S Inaba, B Xie, KM Shyue, F Xiao - Journal of Computational …, 2018 - Elsevier
We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD
scheme, to solve the five-equation model for interfacial two phase flows. This scheme …

Compact high order finite volume method on unstructured grids III: Variational reconstruction

Q Wang, YX Ren, J Pan, W Li - Journal of Computational physics, 2017 - Elsevier
This paper presents a variational reconstruction for the high order finite volume method in
solving the two-dimensional Navier–Stokes equations on arbitrary unstructured grids. In the …

Numerical study of liquid jet and shock wave induced by two-bubble collapse in open field

X Yang, C Liu, J Li, Y Yang, M Zhao, C Hu - International Journal of …, 2023 - Elsevier
The shock waves and high-speed jets induced by the violent collapse of bubbles can cause
serious damage to nearby structures. To fully understand the shock wave and jet …

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 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 …

Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts

X Deng, B Xie, R Loubère, Y Shimizu, F Xiao - Computers & Fluids, 2018 - Elsevier
This work proposes a new spatial reconstruction scheme in finite volume frameworks.
Different from long-lasting reconstruction processes which employ high order polynomials …

A low-dissipation finite-volume method based on a new TENO shock-capturing scheme

L Fu - Computer Physics Communications, 2019 - Elsevier
Abstract In Fu et al.(2016), a family of high-order TENO shock-capturing schemes has been
proposed for compressible fluid simulations within a finite-difference framework. With the …