TY - JOUR
T1 - Exponential Time Differencing Gauge Method for Incompressible Viscous Flows
AU - Lili Ju & Zhu Wang
JO - Communications in Computational Physics
VL - 2
SP - 517
EP - 541
PY - 2018
DA - 2018/04
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0234
UR - https://global-sci.org/intro/article_detail/cicp/11309.html
KW - 
AB - <p style="text-align: justify;">In this paper, we study an exponential time differencing method for solving
the gauge system of incompressible viscous flows governed by Stokes or Navier-Stokes
equations. The momentum equation is decoupled from the kinematic equation at a
discrete level and is then solved by exponential time stepping multistep schemes in
our approach. We analyze the stability of the proposed method and rigorously prove
that the first order exponential time differencing scheme is unconditionally stable for
the Stokes problem. We also present a compact representation of the algorithm for
problems on rectangular domains, which makes FFT-based solvers available for the
resulting fully discretized system. Various numerical experiments in two and three
dimensional spaces are carried out to demonstrate the accuracy and stability of the
proposed method.</p>