In this article, a new reference smoothness indicator for the third-order WENO scheme is
proposed. The main construction idea is to analyze the first derivative of the reconstruction …

The fifth-order WENO-Z scheme proposed by Borges et al., using a linear combination of low-
order smoothness indicators, is designed to provide a low numerical dissipation to solve …

In this paper, a new finite difference unequal-sized Hermite weighted essentially non-
oscillatory (US-HWENO) scheme is proposed for solving multi-dimensional Navier-Stokes …

This article proposes an improved hybrid weighted essentially non‐oscillatory (WENO)
scheme based on the third‐and fifth‐order finite‐difference modified WENO (MWENO) …

The classical WENO schemes perform well for most flow field simulations, they may
encounter the 'Cannikin Law'trap, that is, the lowest accuracy order of the scheme may have …

This paper proposes a numerical approach to solve a two-layer shallow water formula with a
slope and uneven bottom. The finite volume method (FVM) is applied to solve the shallow …

In this research work, a fifth-order well-balanced weighted essentially non-oscillatory
scheme based on finite difference (FDWENO) was presented to solve a blood flow model in …