In this work, a high-order gas kinetic flux solver (GKFS) is developed for simulation of two-
dimensional (2D) compressible flows. Different from the conventional gas kinetic scheme …

In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-
sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for …

This article presents well-balanced finite volume weighted essentially nonoscillatory
(WENO) schemes to solve the shallow water equations (SWEs). Wellbalanced schemes are …

In this article, a type of high‐order consistent and well‐balanced hybrid weighted essentially
non‐oscillatory (WENO) scheme is proposed for shallow water equations with flat or non‐flat …

A well-balanced Runge-Kutta discontinuous Galerkin method is presented for the numerical
solution of multilayer shallow water equations with mass exchange and non-flat bottom …

In this paper, a fifth-order weighted essentially nonoscillatory scheme is presented for
simulating dam-break flows in a finite difference framework. The new scheme is a convex …

In this article, we present an improved third‐order finite difference weighted essentially
nonoscillatory (WENO) scheme to promote the order of convergence at critical points for the …