We develop fifth-order A-WENO finite-difference schemes based on the path-conservative
central-upwind method for nonconservative one-and two-dimensional hyperbolic systems of …

We propose third-order A-WENO finite difference schemes that are based on the recently
introduced first-order numerical schemes in [NK Garg et al., Journal of Computational …

A new adaptive diffusion central numerical flux within the framework of fifth-order
characteristicwise alternative WENO-Z finite-difference schemes (A-WENO) with a modified …

We propose novel less diffusive schemes for conservative one-and two-dimensional
hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges …

Numerical study on compressible two-medium flows has been a hot issue in recent
decades. In this study, we design quasi-conservative finite difference alternative weighted …

A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al.,
2020) schemes, have been devised to solve the Euler equations with substantially reduced …

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 …

We construct new fifth-order alternative WENO (A-WENO) schemes for the Euler equations
of gas dynamics. The new scheme is based on a new adaptive diffusion central-upwind …

We construct a quasi-conservative alternative WENO finite difference scheme respectively
coupled with the global Lax-Friedrichs (AWENO-GLF) and the contact restored Harten-Lax …

High order methods play important roles in the modelling of compressible multi-component
flows. However, they may generate negative sound speed, which leads to an instability of …