activity
20152026
most citedA hybrid Hermite WENO scheme for hyperbolic conservation laws

55 citations · 95 across the 10 of their papers we have counts for

collaborators

10 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.NA2026

A High-Order Finite Volume GENO Scheme with Implicit Time Integration for Three-Temperature Radiation Diffusion Equations

Fengxiang Zhao, Yaqing Yang, Yibing Chen +1

This study presents a high-order finite volume scheme capable of large time-step integration for three-temperature radiation diffusion (3TRD) equations, where conservation is natur…

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…

math.NA2023

A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes

Dongmi Luo, Shiyi Li, Jianxian Qiu +2

In this paper, a compact and high order ADER (Arbitrary high order using DERivatives) scheme using the simple HWENO method (ADER-SHWENO) is proposed for hyperbolic conservation law…

math.NA2021★ 4 cited

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux

Dongmi Luo, Shiyi Li, Weizhang Huang +2

A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A distinct feature of the method…

physics.comp-ph2020

A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems

Zhuang Zhao, Yibing Chen, Jianxian Qiu

In this paper, we develop a simplified hybrid weighted essentially non-oscillatory (WENO) method combined with the modified ghost fluid method (MGFM) [28] to simulate the compressi…