Dynamic Instabilities in Flow-Structure Interactions,
Flutter and Buffeting
Sponsored by: The Air Force Office
of Scientific Research
Project duration: 1994-1997
The project is focused on study of dynamic
instabilities in fluid-structure interaction and development of finite
element computational schemes for modeling and simulating such phenomena.
The
approach involves the development of new computational techniques for the
numerical simulation of a class of physical instabilities in which a viscous
compressible fluid interacts with a flexible elastic structure undergoing
large deformations. Presently, a theory for stability of such motions is
non-existent; global criteria for nonlinear stability have been the subject
of intense research in recent years and remains a topic with many open
questions.
The project addresses a series of basic
issues:
-
The development of general models for the
simulation of interaction of a viscous compressible fluid and a general
flexible structure using an ALE (Arbitrary Lagrangian-Eulerian)-type representation.
-
New numerical algorithms to integrate the
dynamical systems represented by the coupled Navier Stokes equations and
elasticity equations.
-
New adaptive schemes, data structures, error
estimation methods, and computational strategies for treating problems
of this class.
-
A study of stability and of techniques for
numerically evaluating stability in a general and rigorous way, including
generalizations of nonlinear Galerkin methods, multilevel methods to model
the effects of widely varying scales, and new techniques for controlling
and minimizing the effects of artificial viscosities on the physical instabilities
of interest.
The theoretical developments have been translated
into effective computational algorithms for modeling general problems of
this class by the hp-adaptive finite element method.
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