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Model
Order
Reduction
(MOR)
in
the
simulation
of
incompressible
flows
The
numerical
solution
of
a
partial
differential
equation
(PDE)
corresponds
to
a
dynamical
system
of high dimensions: MOR techniques tries to
reduce the size of the problem, preserving the maximum information. In
particular dynamical systems corresponding to computational
fluid-dynamics (CFD) problems are generally both high dimensional and
nonlinear: a strategy largely used in the CFD comunity is to use the
Proper Orthogonal Decomposition (POD), which is based on the singular
value decomposition of a data matrix which represents the a priori
information on the system. It is interesting to apply this
strategy to complex dynamics, e.g. Navier-Stokes equations.
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