INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations"
Autor/es:
NIGRO NORBERTO; STORTI MARIO; IDELSOHN, SERGIO; TEZDUYAR, TAYFUN
Revista:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam, Holanda; Año: 1998 vol. 154 p. 203 - 228
ISSN:
0045-7825
Resumen:
This paper
presents the implementation of a local physics preconditioning mass
matrix [8] for an unified approach of 3D compressible and
incompressible Navier-Stokes equations using an SUPG finite element
formulation and GMRES implicit solver. During the last years a lot of
effort has been dedicated to finding a unified approach for
compressible and incompressible flow in order to treat fluid dynamic
problems with a very wide range of Mach and Reynolds numbers
[10,26,37]. On the other hand, SUPG finite element formulation and
GMRES implicit solver is one of the most robust combinations to solve
state of the art CFD problems [1,6,9,22,29,30,31].
The selection of a good preconditioner and its performance on parallel architecture is another open problem in CFD community. The local
feature of the preconditioner presented here means that no
communication among processors is needed when working on parallel
architectures. Due to these facts we consider that this research can
make some contributions towards the development of a unified fluid
dynamic model with high rates of convergence for any combination of
Mach and Reynolds numbers, being very suitable for massively parallel
computations.
Finally, it is important to remark that while this
kind of preconditioning produces stabilized results in nearly
incompressible regimes the standard version exhibits some numerical
drawbacks that lead to solutions without physical meaning.