160 citations · 452 across the 25 of their papers we have counts for
5 papers · 1 filter
Sonic-supersonic solutions for the two-dimensional steady full Euler equations
Yanbo Hu, Jiequan Li
This paper focuses on the structure of classical sonic-supersonic solutions near sonic curves for the two-dimensional full Euler equations in gas dynamics. In order to deal with th…
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…
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…
On a global supersonic-sonic patch characterized by 2-D steady full Euler equations
Yanbo Hu, Jiequan Li
Supersonic-sonic patches are ubiquitous in regions of transonic flows and they boil down to a family of degenerate hyperbolic problems in regions surrounded by a streamline, a char…
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…