34 citations · 122 across the 14 of their papers we have counts for
14 papers
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
Chen Liu, Beatrice Riviere, Jie Shen +1
For time-dependent PDEs, the numerical schemes can be rendered bound-preserving without losing conservation and accuracy, by a post processing procedure of solving a constrained mi…
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations
Chen Liu, Xiangxiong Zhang
In this paper, we are interested in constructing a scheme solving compressible Navier--Stokes equations, with desired properties including high order spatial accuracy, conservation…
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
Rami Masri, Chen Liu, Beatrice Riviere
The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are deri…
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
Rami Masri, Chen Liu, Beatrice Riviere
A discontinuous Galerkin pressure correction numerical method for solving the incompressible Navier-Stokes equations is formulated and analyzed. We prove unconditional stability of…
The Fate of Shear-Oscillated Amorphous Solids
Chen Liu, Ezequiel E. Ferrero, Eduardo A. Jagla +3
The behavior of shear-oscillated amorphous materials is studied using a coarse-grained model. Samples are prepared at different degrees of annealing and then subject to athermal an…
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
Chen Liu, Deep Ray, Christopher Thiele +2
In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn--Hilliard--Navier--Stokes equations that model the flow of two phases with different…