22 citations · 57 across the 7 of their papers we have counts for
7 papers
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,…
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 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…
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…
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux
Dongmi Luo, Jianxian Qiu, Jun Zhu +1
In this paper, a high order quasi-conservative discontinuous Galerkin (DG) method using the non-oscillatory kinetic flux is proposed for the 5-equation model of compressible multi-…
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws
Dongmi Luo, Weizhang Huang, Jianxian Qiu
A moving mesh discontinuous Galerkin method is presented for the numerical solution of hyperbolic conservation laws. The method is a combination of the discontinuous Galerkin metho…
A hybrid LDG-HWENO scheme for KdV-type equations
Dongmi Luo, Weizhang Huang, Jianxian Qiu
A hybrid LDG-HWENO scheme is proposed for the numerical solution of KdV-type partial differential equations. It evolves the cell averages of the physical solution and its moments (…