TY - JOUR
T1 - A Partitioned Method with Different Time Steps for Coupled Stokes and Darcy Flows with Transport
AU - Zhang , Jingyuan
AU - Rui , Hongxing
AU - Cao , Yanzhao
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 463
EP - 498
PY - 2018
DA - 2018/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12878.html
KW - Coupled Stokes and Darcy flows, solute transport, decoupled algorithm, different time steps, error estimates.
AB - <p style="text-align: justify;">A decoupled finite element algorithm with different time steps on different physical
variables for a Stokes-Darcy interface system coupled with the solution transport is studied. The
viscosity of the Stokes equation is assumed to depend on the concentration of the transported
solution. The numerical algorithm consists of two steps. In the first step, the system is decoupled
on the interface. In the second step, the time derivatives are discretized with different step sizes for
different partial differential equations in the system. A careful error analysis provides a guidance
on the ratio of the step sizes with respect to the ratio of the physical parameters. Numerical
examples are presented to verify the theoretical results and illustrate the effectiveness of the
decoupled algorithm of using different time steps.</p>