Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations
Abstract
In this paper, we consider numerical approximations for solving the micropolar Navier-Stokes (MNS) equations, that couples the Navier-Stokes equations and the angular momentum equation together. By combining the scalar auxiliary variable (SAV) approach for the convective terms and some subtle implicit-explicit (IMEX) treatments for the coupling terms, we propose a decoupled, linear and unconditionally energy stable scheme for this system. We further derive rigorous error estimates for the velocity, pressure and angular velocity in two dimensions without any condition on the time step. Numerical examples are presented to verify the theoretical findings and show the performances of the scheme.
Keywords
Cite
@article{arxiv.2210.02670,
title = {Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations},
author = {Xiaodi Zhang and Xiaonian Long},
journal= {arXiv preprint arXiv:2210.02670},
year = {2022}
}
Comments
27 pages, 39 figures. arXiv admin note: text overlap with arXiv:2104.00229 by other authors