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 …

Essentially non-oscillatory and weighted essentially non-oscillatory schemes

CW Shu - Acta Numerica, 2020 - cambridge.org
Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

J Zhu, CW Shu - Journal of Computational Physics, 2018 - Elsevier
In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …

A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes

S Zhang, J Zhu, CW Shu - Advances in Aerodynamics, 2019 - Springer
Weighted essentially non-oscillatory (WENO) schemes are a class of high-order shock
capturing schemes which have been designed and applied to solve many fluid dynamics …

An efficient class of WENO schemes with adaptive order for unstructured meshes

DS Balsara, S Garain, V Florinski, W Boscheri - Journal of Computational …, 2020 - Elsevier
Recent advances in finite-difference WENO schemes for hyperbolic conservation laws have
resulted in WENO schemes with adaptive order of accuracy. For instance, a WENO-AO (5, 3) …

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters

J Zhu, J Qiu, CW Shu - Journal of Computational Physics, 2020 - Elsevier
In this paper, a new type of multi-resolution weighted essentially non-oscillatory (WENO)
limiters for high-order Runge-Kutta discontinuous Galerkin (RKDG) methods is designed …

A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes

J Zhu, CW Shu - Journal of Computational Physics, 2020 - Elsevier
In this continuing paper of Zhu and Shu (2018)[62], Zhu and Shu (2019)[63], we design a
new third-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) …

A new hybrid WENO scheme for hyperbolic conservation laws

Z Zhao, J Zhu, Y Chen, J Qiu - Computers & Fluids, 2019 - Elsevier
Abstract In [28], a simple fifth order weighted essentially non-oscillatory (WENO) scheme
was presented in the finite difference framework for the hyperbolic conservation laws, in …

A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes

Y Chen, K Wu - Journal of Computational Physics, 2022 - Elsevier
This paper presents a highly robust third-order accurate finite volume weighted essentially
non-oscillatory (WENO) method for special relativistic hydrodynamics on unstructured …

New finite volume weighted essentially nonoscillatory schemes on triangular meshes

J Zhu, J Qiu - SIAM Journal on Scientific Computing, 2018 - SIAM
In this paper, we design a new type of high order finite volume weighted essentially
nonoscillatory (WENO) schemes to solve hyperbolic conservation laws on triangular …