TY - JOUR
T1 - Preconditioners for Incompressible Navier-Stokes Solvers
AU - A. Segal, M. ur Rehman & C. Vuik
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 245
EP - 275
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.33.1
UR - https://global-sci.org/intro/article_detail/nmtma/5999.html
KW - Navier-Stokes equations, finite element method, block preconditioners, SIMPLE-type schemes, iterative methods, incompressible fluids.
AB - <p style="text-align: justify;">In this paper we give an overview of the present state of fast solvers
for the solution of the incompressible Navier-Stokes equations
discretized by the
finite element method and linearized by Newton or Picard&#39;s method.
It is shown that block preconditioners form an excellent approach for the
solution, however, if the grids are not to fine preconditioning, a Saddle point ILU matrix (SILU) may be an attractive alternative.
The applicability of all methods to stabilized elements is
investigated.
In case of the stand-alone Stokes equations special preconditioners
increase the efficiency considerably.</p>