High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field

Y Gu, Z Gao, G Hu, P Li, Q Fu - Journal of Computational Physics, 2023 - Elsevier
In this paper, we propose a fifth order well-balanced positivity-preserving finite difference
scale-invariant AWENO scheme for the compressible Euler equations with gravitational …

Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods

XS Xiang, BS Wang, Z Gao, P Li - Journal of Scientific Computing, 2025 - Springer
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …

A new scale-invariant hybrid WENO scheme for steady Euler and Navier-Stokes equations

Y Wan - Applied Numerical Mathematics, 2024 - Elsevier
The steady-state convergence property of prevalent weighted essentially non-oscillatory
(WENO) schemes usually relies on the sensitivity parameter. On the one hand, it is …

A Spatial–Temporal Weight Analysis and Novel Nonlinear Weights of Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws

X Chen, J Gu, JH Jung - Journal of Scientific Computing, 2025 - Springer
In this paper we analyze the weighted essentially non-oscillatory (WENO) schemes in the
finite volume framework by examining the first step of the explicit second-order total variation …

[PDF][PDF] Affine-Invariant WENO Operator on Nonuniform Mesh with Application to Finite Volume and Discontinuous Galerkin Methods

XS Xiang, BS Wang, Z Gao, P Li - researchgate.net
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …