2 papers
math.NA2026
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,…
math.NA2025
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…