37 citations · 47 across the 4 of their papers we have counts for
4 papers
Numerical Study of Non-uniqueness for 2D Compressible Isentropic Euler Equations
Alberto Bressan, Yi Jiang, Hailiang Liu
In this paper, we numerically study a class of solutions with spiraling singularities in vorticity for two-dimensional, inviscid, compressible Euler systems, where the initial data…
Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations
Yi Jiang, Hailiang Liu
An invariant-region-preserving (IRP) limiter for multi-dimensional hyperbolic conservation law systems is introduced, as long as the system admits a global invariant region which i…
An invariant-region-preserving limiter for DG schemes to isentropic Euler equations
Yi Jiang, Hailiang Liu
In this paper, we introduce an invariant-region-preserving (IRP) limiter for the p-system and the corresponding viscous p-system, both of which share the same invariant region. Rig…
An Invariant-region-preserving (IRP) Limiter to DG Methods for Compressible Euler Equations
Yi Jiang, Hailiang Liu
We introduce an explicit invariant-region-preserving limiter applied to DG methods for compressible Euler equations. The invariant region considered consists of positivity of densi…