TY - JOUR
T1 - Analysis of a Second-Order, Unconditionally Stable, Partitioned Method  for the Evolutionary Stokes-Darcy Model
AU - Michaela Kubacki & Marina Moraiti
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 704
EP - 730
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/508.html
KW - Stokes, Darcy, groundwater, surface water, partitioned, decoupled, second-order accuracy, unconditional stability, asymptotic stability.
AB - <p style="text-align: justify;">We propose and analyze a partitioned numerical method for the fully evolutionary
Stokes-Darcy equations that model the coupling between surface and groundwater flows. The
proposed method uncouples the surface from the groundwater flow by using the implicit-explicit
combination of the Crank-Nicolson and Leapfrog methods for the discretization in time with
added stabilization terms. We prove that the method is asymptotically, unconditionally stable — requiring no time step condition — and second-order accurate in time with optimal rates in space.
We verify the method&#39;s unconditional stability and second-order accuracy numerically.</p>