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20152026
most citedA Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws

59 citations · 96 across the 7 of their papers we have counts for

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math.NA2025

A Second-Order Relaxation Flux Solver for Compressible Navier-Stokes Equations based on Generalized Riemann Problem Method

Tuowei Chen, Zhifang Du

In the finite volume framework, a Lax-Wendrof type second-order flux solver for the compressible Navier-Stokes equations is proposed by utilizing a hyperbolic relaxation model. The…

math.NA2023

Generalized Riemann Problem Method for the Kapila Model of Compressible Multiphase Flows

Tuowei Chen, Zhifang Du

A second-order accurate and robust numerical scheme is developed for the Kapila model to simulate compressible multiphase flows. The scheme is formulated within the finite volume f…

math.NA2018★ 28 cited

A two-stage fourth order time-accurate discretization for Lax--Wendroff type flow solvers II. High order numerical boundary conditions

Zhifang Du, Jiequan Li

This paper serves to treat boundary conditions numerically with high order accuracy in order to match the two-stage fourth-order finite volume schemes for hyperbolic problems devel…

math.NA2017★ 59 cited

A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws

Zhifang Du, Jiequan Li

This paper develops a new fifth order accurate Hermite WENO (HWENO) reconstruction method for hyperbolic conservation schemes in the framework of the two-stage fourth order accurat…

math.NA2015★ 7 cited

A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers. I. Hyperbolic Conservation Laws

Jiequan Li, Zhifang Du

In this paper we develop a novel two-stage fourth order time-accurate discretization for time-dependent flow problems, particularly for hyperbolic conservation laws. Different from…