5 papers
Unconditionally stable Gauge-Uzawa finite element schemes for the chemo-repulsion-Navier-Stokes system
Chenyang Li, Ping Lin, Haibiao Zheng
This paper investigates a Gauge-Uzawa finite element method (GU-FEM) for the two-dimensional chemo-repulsion-Navier-Stokes (CRNS) system. The proposed approach establishes a fully…
Fully discrete finite element approximation for the projection method to solve the Chemotaxis-Fluid System
Chenyang Li, Ping Lin, Haibiao Zheng
In this paper, we investigate a chemotaxis-fluid interaction model governed by the incompressible Navier-Stokes equations coupled with the classical Keller-Segel chemotaxis system.…
A decoupled Crank-Nicolson leap-frog scheme for the unsteady bioconvection flows problem with concentration dependent viscosity
Chenyang Li
A fully discrete Crank--Nicolson Leap--Frog (CNLF) scheme is proposed and analyzed for the unsteady bioconvection flow problem with concentration-dependent viscosity. Spatial discr…
Unconditionally optimal error Estimate of a linearized Second-order Fully Discrete Finite Element Method for the bioconvection flows with concentration dependent viscosity
Chenyang Li, Yuze Lu, Haibiao Zheng
In this paper, the coupled and decoupled BDF2 finite element discrete schemes are obtained for the time-dependent bioconvection flows problem with concentration dependent viscosity…
Error analysis of a Euler finite element scheme for Natural convection model with variable density
Li Hang, Chenyang Li
In this paper, we derive first-order Euler finite element discretization schemes for a time-dependent natural convection model with variable density (NCVD). The model is governed b…