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 …
competing requirements render it challenging to develop high-order numerical methods …
[HTML][HTML] High-order methods for diffuse-interface models in compressible multi-medium flows: A review
V Maltsev, M Skote, P Tsoutsanis - Physics of Fluids, 2022 - pubs.aip.org
The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …
efficient and robust framework for the simulation of multi-species flows. They allow the …
An efficient class of WENO schemes with adaptive order
Finite difference WENO schemes have established themselves as very worthy performers for
entire classes of applications that involve hyperbolic conservation laws. In this paper we …
entire classes of applications that involve hyperbolic conservation laws. In this paper we …
High order weighted essentially nonoscillatory schemes for convection dominated problems
CW Shu - SIAM review, 2009 - SIAM
High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
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 …
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton--Jacobi equations
We introduce new Godunov-type semidiscrete central schemes for hyperbolic systems of
conservation laws and Hamilton--Jacobi equations. The schemes are based on the use of …
conservation laws and Hamilton--Jacobi equations. The schemes are based on the use of …
High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD
CW Shu - International Journal of Computational Fluid Dynamics, 2003 - Taylor & Francis
In recent years, high order numerical methods have been widely used in computational fluid
dynamics (CFD), to effectively resolve complex flow features using meshes which are …
dynamics (CFD), to effectively resolve complex flow features using meshes which are …
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 …
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …
Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers
A Kurganov, E Tadmor - Numerical Methods for Partial …, 2002 - Wiley Online Library
Solution of twoâ•’dimensional Riemann problems for gas dynamics without Riemann problem
solvers Page 1 Solution of Two-Dimensional Riemann Problems for Gas Dynamics without …
solvers Page 1 Solution of Two-Dimensional Riemann Problems for Gas Dynamics without …
A technique of treating negative weights in WENO schemes
J Shi, C Hu, CW Shu - Journal of Computational Physics, 2002 - Elsevier
High-order accurate weighted essentially nonoscillatory (WENO) schemes have recently
been developed for finite difference and finite volume methods both in structured and in …
been developed for finite difference and finite volume methods both in structured and in …