A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws
A novel, simple, robust, and effective modification in the nonlinear weights of the scale-
invariant WENO operator is proposed that achieves an optimal order of accuracy with …
invariant WENO operator is proposed that achieves an optimal order of accuracy with …
Scale-invariant multi-resolution alternative WENO scheme for the Euler equations
The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …
Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields
P Li, Z Gao - Journal of Computational Physics, 2021 - Elsevier
The compressible Euler equations coupled with the gravitational source terms admit a
hydrostatic equilibrium state where the gradients of the flux terms can be exactly balanced …
hydrostatic equilibrium state where the gradients of the flux terms can be exactly balanced …
High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields
Q Fu, Z Gao, Y Gu, P Li - Applied Numerical Mathematics, 2022 - Elsevier
The system of compressible Euler equations under gravitational fields drew much attention
during the past few decades, due to its broad applications in astrophysics and atmospheric …
during the past few decades, due to its broad applications in astrophysics and atmospheric …
[PDF][PDF] Lecture Note on the WENO Finite Difference
Welcome to the lecture notes on A Personal Journey in the World of WENO, 8 which is
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …