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Applications to Fluid Mechanics
ERIC WHITNEY
(USYD)
FELIPE GONZALEZ (USYD)
@
Supervisor:
K. Srinivas
Dassault Aviation: J. Périaux
Inaugural Workshop for FluD Group : 28th Oct 2003. AMME Conference Room
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Overview
Aim:
Develop modern numerical and evolutionary optimisation
techniques for number of problems in the field of Aerospace,
Mechanical and Mechatronic Engineering.
In Fluid Mechanics we are particularly interested in optimising
fluid flow around different aerodynamic shapes:
Single and multi-element aerofoils.
Wings in transonic flow.
Propeller blades.
Turbomachinery aerofoils.
Full aircraft configurations.
We use different structured and unstructured mesh generation
and CFD codes in 2D and 3D ranging from full Navier Stokes to
potential solvers .
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CFD codes
Developed at the school
MSES/MSIS - Euler + boundary layer interactive flow solver. The external solver is based on a structural quadrilateral
streamline mesh which is coupled to an integral boundary layer based on a multi layer velocity profile representation.
HDASS : A time marching technique using a CUSP scheme with an iterative solver.
Vortex lattice method
Propeller Design
Requested to the author
MSES/MSIS - Euler + boundary layer interactive flow solver. The external solver is based on a structural
quadrilateral streamline mesh which is coupled to an integral boundary layer based on a multi layer velocity
profile representation
ParNSS ( Parallel Navier--Stokes Solver)
FLO22 ( A three dimensional wing analysis in transonic flow suing sheared parabolic coordinates, Anthony
Jameson)
MIFS (Multilock 2D, 3D Navier--Stokes Solver)
Free on the Web
nsc2kec : 2D and AXI Euler and Navier-stokes equations solver
vlmpc : Vortex lattice program
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Evolutionary Algorithms
What are Evolutionary Algorithms?
Populations of individuals evolve and
reproduce by means of mutation and
crossover operators and compete in a set
environment for survival of the fittest.
Evolution
Crossover
Mutation
Fittest
Computers can be adapted to perform
this evolution process.
EAs are able to explore large search spaces and are robust
towards noise and local minima, are easy to parallelise.
EAs are known to handle approximations and noise well.
EAs evaluate multiple populations of points.
EAs applied to sciences, arts and engineering.
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HIERARCHICAL ASYNCHRONOUS PARALLEL
EVOLUTION ALGORITHMS (HAPEA)
We use a technique that
Model 1
precise model finds optimum solutions by
Exploitation
using many different
Model 2
models, that greatly
intermediate accelerates the optimisation
model
process. Interactions of the
Model 3
3 layers: solutions go up
approximate and down the layers.
Exploration
model
Time-consuming solvers
only for the most promising
solutions.
Parallel Computing-BORGS
Evolution Algorithm
Evaluator
Current and Ongoing CFD Applications
Problem Two Element
Aerofoil Optimisation
Problem
Formula 3 Rear
Wing
Aerodynamics
2D Nozzle Inverse
Optimisation
Multi-Element High
Lift Design
Transonic Viscous
Aerodynamic
Design
Transonic Wing
Design
Aircraft Design and
Multidisciplinary
Optimisation
Propeller Design
UAV Aerofoil
Design
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Outcomes of the research
The new technique with multiple models: Lower the computational
expense dilemma in an engineering environment (at least 3 times
faster than similar approaches for EA)
The new technique is promising for direct and inverse design
optimisation problems.
As developed, the evolution algorithm/solver coupling is easy to
setup and requires only a few hours for the simplest cases.
A wide variety of optimisation problems including Multi-disciplinary
Design Optimisation (MDO) problems could be solved.
The benefits of using parallel computing, hierarchical optimisation
and evolution algorithms to provide solutions for multi-criteria
problems has been demonstrated.
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