The first kernel considered in this study is the software AERO developed at the University of Colorado with the collaboration of INRIA - see Dervieux [#!derv1!#], Konga and Guillard [#!BNkonga_HGuillard_1994!#], Farhat [#!farhat1!#], and Martin and Guillard [#!RMartin_HGuillard_1996!#] for details. AERO relies on an unsteady three-field model consisting of a structural model (AERO-S), a fluid model (AERO-F), and a pseudo-elasticity model (AERO-E) for the dynamical fluid mesh. It is useful for the sequel to give a few equations describing the coupled model:
where designates time,
the position of a moving fluid grid
point,
is the fluid state vector,
results from the finite-element/volume
discretization of the fluid equations,
is the vector of
convective ALE
fluxes.
is the vector of diffusive fluxes,
is the structural
displacement vector,
denotes the vector of internal forces in
the
structure, and
the vector of external forces.
is the finite-element
mass matrix of the structure,
,
and
are
fictitious mass, damping and stiffness matrices associated with the
moving
fluid grid and
is a transfer matrix that describes the action of
the
motion of the structural side of the fluid/structure interface on the
fluid
dynamic mesh.
An implicit finite-element time scheme is used for the structural
model and an implicit time-staggered scheme for the
structure. A vertex-centered upwind finite-volume scheme is employed
when AERO-F is used in the fluid-only mode.
Numerical options address second-order accuracy both in space and time
- see Dervieux [#!derv1!#], Konga and Guillard [#!BNkonga_HGuillard_1994!#],
Farhat [#!farhat1!#], and Martin and Guillard [#!RMartin_HGuillard_1996!#].
The goals of this study were: 1) Creation of the MecaGrid, 2) Studing the efficiency of the one-phase AERO-F code using the MecaGRID, and 3) Developing and examining the efficiency of a three-dimensional two-phase version of the AERO-F code for Grid applications. The results of these experiments are reported in the sections that follow.