59 citations · 96 across the 7 of their papers we have counts for
7 papers
The stability priority of spatial-temporal coupled compact element methods over decoupled compact element methods
Qihui Gao, Xing Ji, Zhifang Du +3
With the increasing industrial demands, two families of high-order numerical schemes are widely used within the computational fluid dynamics community. One is the method of line, w…
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…
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…
Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows
Zhifang Du, Jiequan Li
Reliable tracking of moving boundaries is important for the simulation of compressible fluid flows and there are a lot of contributions in literature. We recognize from the classic…
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…
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…
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…