160 citations · 452 across the 25 of their papers we have counts for
16 papers · 1 filter
Relaxation schemes for entropy dissipative system of viscous conservation laws
Tuowei Chen, Jiequan Li
In this paper, we introduce a hyperbolic model for entropy dissipative system of viscous conservation laws via a flux relaxation approach. We develop numerical schemes for the resu…
Two-stage Fourth-order Gas Kinetic Solver-based Compact Subcell Finite Volume Method for Compressible Flows over Triangular Meshes
Chao Zhang, Qibing Li, Peng Song +1
To meet the demand for complex geometries and high resolutions of small-scale flow structures, a two-stage fourth-order subcell finite volume (SCFV) method combining the gas-kineti…
Stiffened gas approximation and GRP resolution for fluid flows of real materials
Yue Wang, Jiequan Li
The equation of state (EOS) embodies thermodynamic properties of compressible fluid materials and usually has very complicated forms in real engineering applications, subject to th…
One-sided GRP Solver and Numerical Boundary Conditions for compressible fluid flows
Jiequan Li, Qinglong Zhang
In the computation of compressible fluid flows, numerical boundary conditions are always necessary for all physical variables at computational boundaries while just partial physica…
A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes
Chao Zhang, Qibing Li, Z. J. Wang +2
A highly efficient gas-kinetic scheme with fourth-order accuracy in both space and time is developed for the Navier-Stokes equations on triangular meshes. The scheme combines an ef…
On unified preserving properties of kinetic schemes
Zhaoli Guo, Jiequan Li, Kun Xu
The kinetic theory provides a physical basis for developing multiscal methods for gas flows covering a wide range of flow regimes. A particular challenge for kinetic schemes is whe…
Consistency and Convergence of Finite Volume Approximations to Nonlinear Hyperbolic Balance Laws
Matania Ben-Artzi, Jiequan Li
This paper addresses the three concepts of \textit{ consistency, stability and convergence } in the context of compact finite volume schemes for systems of nonlinear hyperbolic con…
: Temporal-Spatial Coupling and Beyond in Computational Fluid Dynamics (CFD)
Jiequan Li
With increasing engineering demands, there need high order accurate schemes embedded with precise physical information in order to capture delicate small scale structures and stron…
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…
An Efficient, Second Order Accurate, Universal Generalized Riemann Problem Solver Based on the HLLI Riemann Solver
Dinshaw S. Balsara, Jiequan Li, Gino I. Montecinos
The Riemann problem, and the associated generalized Riemann problem, are increasingly seen as the important building blocks for modern higher order Godunov-type schemes. In the pas…
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…
Thermodynamical Effects and High Resolution Methods for Compressible Fluid Flows
Jiequan Li, Yue Wang
One of the fundamental differences of compressible fluid flows from incompressible fluid flows is the involvement of thermodynamics. This difference should be manifested in the des…
A Few Benchmark Test Cases for Higher-order Euler Solvers
Liang Pan, Jiequan Li, Kun Xu
There have been great efforts on the development of higher-order numerical schemes for compressible Euler equations. The traditional tests mostly targeting on the strong shock inte…
An Efficient and Accurate Two-Stage Fourth-order Gas-kinetic Scheme for the Navier-Stokes Equations
Liang Pan, Kun Xu, Qibing Li +1
For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver and the gas-kinetic kinetic scheme (GKS) provide a time-accurate flux function starting from a…
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…
The generalized Riemann problems for hyperbolic balance laws: A unified formulation towards high order
Jianzhen Qian, Jiequan Li, Shuanghu Wang
The Generalized Riemann Problems (GRP) for nonlinear hyperbolic systems of balance laws in one space dimension are now well-known and can be formulated as follows: Given initial-da…