5 papers
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…
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,…
A simple, high-order and compact WENO limiter based on control volume for spectral volume method
Na Liu, Jianxian Qiu
The spectral volume(SV) method constructs a high-order polynomial for SV based on the average value of control volume(CV), but for discontinuous problems, a limiter is required to…
Uniformly High Order Discontinuous Galerkin Gas Kinetic Scheme for Compressible flows
Mengqing Zhang, Shiyi Li, Dongmi Luo +2
In this paper, a uniformly high-order discontinuous Galerkin gas kinetic scheme (DG-HGKS) is proposed to solve the Euler equations of compressible flows. The new scheme is an exten…
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…