19 citations · 31 across the 9 of their papers we have counts for
11 papers
An efficient and robust fifth-order HWENO scheme with gradient reconstruction for compressible Navier--Stokes equations
Zijun Guo, Chuan Fan, Zhuang Zhao
In this paper, we propose an efficient and robust fifth-order finite-volume Hermite weighted essentially non-oscillatory (HWENO) scheme with gradient reconstruction for the compres…
A fifth-order divergence-free finite difference Hermite WENO scheme for ideal magnetohydrodynamics
Peiwen Chen, Shi Jin, Jianxian Qiu +1
In this paper, we present a fifth-order finite difference divergence-free Hermite weighted essentially non-oscillatory (HWENO) scheme for the ideal magnetohydrodynamics (MHD) equat…
Fifth-order finite volume derivative-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws
Peiwen Chen, Zhuang Zhao
In this paper, we propose a derivative-based finite volume Hermite WENO (HWENO) scheme for hyperbolic conservation laws, where both the solution and its first-order derivatives are…
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws II: triangular meshes
Dongmi Luo, Zhuang Zhao, Jianxian Qiu +1
A compact and high order HWENO scheme using ADER (Arbitrary high order using DERivatives) time discretization is developed for hyperbolic conservation laws on the triangular mesh,…
Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods
Guangyao Zhu, Yan Jiang, Zhuang Zhao +1
This paper presents a novel inverse Lax-Wendroff (ILW) boundary treatment for finite difference Hermite weighted essentially non-oscillatory (HWENO) schemes to solve hyperbolic con…
A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws
Chuan Fan, Jianxian Qiu, Zhuang Zhao
In this paper, a fifth-order moment-based Hermite weighted essentially non-oscillatory scheme with unified stencils (termed as HWENO-U) is proposed for hyperbolic conservation laws…