The novel and simple nonlinear affine-invariant weights (Ai-weights) are devised for the Ai- WENO operator to handle the case when the function being reconstructed undergoes an …
BS Wang, WS Don, P Li - Applied Numerical Mathematics, 2023 - Elsevier
We propose a fifth-order well-balanced positivity-preserving finite difference alternative WENO (AWENO) scheme with the affine-invariant WENO interpolation based on the Z-type …
Z Gao, YR Zhao, BS Wang - Applied Mathematics Letters, 2024 - Elsevier
The weighted essentially non-oscillatory (WENO) interpolation-based schemes (the alternative WENO (AWENO) scheme and the explicit weighted compact nonlinear (WCNS …
P Jin, A Al-Rikabi, X Deng - Computers & Fluids, 2023 - Elsevier
Despite improvement over decades, there are still at least two key issues not fully solved in Weighted Essentially Non-oscillatory (WENO) schemes. Firstly, most WENO schemes hardly …
We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative …
H Wang, H Zhu, Z Gao - Journal of Computational Physics, 2024 - Elsevier
In this work, a bound-and positivity-preserving quasi-conservative discontinuous Galerkin (DG) method is proposed for the γ-based model of compressible two-medium flows. The …
Q Fu, Z Gao, Y Gu, P Li, BS Wang - Mathematics and Computers in …, 2024 - Elsevier
The Euler equations under gravitational fields allow the hydrostatic equilibrium states, which requires that the numerical scheme of the system should also have this characteristic. In our …
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 …
BS Wang, WS Don - Shock Waves, 2023 - researchgate.net
We describe a quasi-conservative finite difference AWENO scheme with the affine-invariant Z-type nonlinear weights (Ai-AWENO) for the γ-based model. The shockcapturing scheme …