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COUPLING EFFICIENT
MULTIVARIATE ANALYSIS AND OPTIMIZATION STRATEGIES WITH
AN
INNOVATIVE FLOW SOLVER FOR HULL HYDRODYNAMICS
Paolo Geremia, Engys Srl, Italy
Kevin J. Maki, University of Michigan, USA Gianpiero Lavini, Fincantieri SpA, Italy Harpo Genuzio, Fincantieri SpA, Italy
modeFRONTIER 2012 Users’ Meeting, 21-22 May 2012, Trieste, Italy
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Company Details
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• Registered in UK, Germany, Italy and Australia
• CAE services company:
Consultancy
Software & Methods Development
User support & Training
• Open Source engineering software for industry:
CFD
Optimisation
• Extensive expertise (> 10 years)
OPENFOAM is a registered trademark of OpenCFD Ltd.
Background | Resistance Prediction Methods
Method Pros Cons
Experiments Methodology is well tested Costly, scaling issues Potential Flow Methods Low computational cost
(boundary vs. volume)
Neglect viscous effects
CFD Most accurately models the
physics
Captures non-linear effects - wave-breaking
High computational cost - grid generation &
computation
Empirical Data / Regression Powerful for early design Rely on geometric similarity to parent data
→ Idea: combine benefits of potential flow methods with RANS CFD into a new flow
solver for fast and accurate drag prediction
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Flow Solution | Solver Description
• Method:
RANS viscous flow solution + steady free-surface effect
• Benefits:
Accurate viscous and pressure drag prediction
Support for sinkage and trim calculation
Well-suited for optimisation due to robust formulation that
employs automatic grid
generation and quick solution
time
Flow Solution | Wigley Hull Validation
• SRI 4m model
• 120K cells
• CPU time ~ 40 mins per speed on a laptop
Copyright © 2012 Engys. All rights reserved. Reproduction Prohibited.
Flow Solution | DTMB 5415 Hull Validation
• INSEAN and DTMB Experiments
• 185K cells
• CPU time ~ 60 mins per
speed on a laptop
Geometry Update Geometry Update
Meshing Meshing
Pre-processing Pre-processing
Post-processing Post-processing
Solver Solver OPTIMISER
OPTIMISER
Flow Solution | Optimisation Workflow
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Parametric Geometry
• Different geometrical shapes are generated via
parametric morphing model starting from a baseline model
• Robust morphing of existing surface mesh
• Parameterisation is quick and easy to setup
• No CAD parameterisation required
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Parametric Geometry
• Surface morphing and simple deformation
operations can be applied to the existing baseline geometry
• Deformation applies an efficient B-Spline driven
surface morphing
Parametric Geometry | Morphing in ANSA
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
CFD Model Setup | Meshing
• Hex-dominant mesh of 500,000 cells
• 5 near-wall extrusion layers
• Accurate feature-edge resolution
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
CFD Model Setup | Meshing
CFD Model Setup | Meshing
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
CFD Model Setup | Validation
• The flow solution was validated against a standard interface- capturing VOF method
• Simulation was carried out at Froude number 0.22
• VOF simulations performed on 2 discretizations:
Coarse grid: 171,187 cells
Fine grid: 1,185,150 cells
CFD Model Setup | Validation
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• The VOF solver on a fine grid requires about 400 CPU-hrs
• The new method converged in about 3 CPU-hrs
CFD Model Setup | Free-surface Elevation
CFD Model Setup | Streamwise Velocity
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Optimisation Workflow
Design Parameters Input Variables
Translation along X,Y and Z of 10 independent control points
Output Variables
Total resistance coefficient at Froude number 0.22 Displacement
Design Objectives Minimise resistance Keep displacement fixed Optimization Setup Exploration Phase:
Initial LHS sampling DOE algorithm –No. of samples: 100 Hierarchical Clustering and selection of optimal cluster Final LHS sampling DOE algorithm –No. of samples: 50 Design Parameters
Input Variables
Translation along X,Y and Z of 10 independent control points
Output Variables
Total resistance coefficient at Froude number 0.22 Displacement
Design Objectives Minimise resistance Keep displacement fixed Optimization Setup Exploration Phase:
Initial LHS sampling DOE algorithm –No. of samples: 100 Hierarchical Clustering and selection of optimal cluster Final LHS sampling DOE algorithm –No. of samples: 50
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Meshing Meshing Geometry Update
Geometry Update
modeFRONTIER modeFRONTIER
Flow Solution
Flow Solution
Optimisation Workflow
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
Initial Exploration | Correlation
• Global correlations between input and output
variables are detected
Initial Exploration | Clustering
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• Design data are grouped into different clusters using Hierarchical clustering method (Ward approach)
• 19 clusters we identified
Initial Exploration | Clustering
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• An optimal cluster having displacement close to
the baseline model was found
Final Run | Results
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• The solutions obtained during the final LHS run
improved the baseline design
CAP Analysis
• 4 clusters were identified in the final set of the
optimal solutions
CAP Analysis
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• To detect local correlation among variables in the optimal cluster, CAP tool was employed
• 2 cluster were considered in the CAP analysis
Final Run | Local Correlation
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting
• When moving from the lowest displacement cluster to the highest displacement cluster:
• dx1, dx2, dy2, dy3, dy4, dz1, dz2 dz4 are to be decreased
• dy1 and dz3 are to be increased
Optimisation Results
• A candidate optimal solution was selected from the final dataset
• Flow resistance is minimized whereas displacement value is almost the same
Copyright © 2012 Engys. All rights reserved. Reproduction Prohibited.
Displacement Ct at Fn 0.22
Delta -0.57% -7.43%
Optimization Results
Optimised
Baseline
Optimisation Results
Copyright © 2012 Engys. All rights reserved. Reproduction Prohibited.
Baseline
Optimised
Validation Results
• The optimised solution results were compared to a 121K, 1M
and 10M cells grids solved with interFoam VOF solver
Validation Results
Copyright © 2012 Engys. All rights reserved. Reproduction Prohibited.
• The new solver overpredicts force
• The “delta” between baseline and optimised solutions is quite
accurately predicted
Contents
• Background
• Method Description
• Parametric Geometry
• CFD Model Setup
• Optimisation Setup
• Optimisation Results
• Conclusions
Conclusions
• Different shape parameterisation techniques were evaluated.
• Benefits of new flow solver scalability are huge
for product development speed-up and reduction in costs.
• Unique service for ship hydrodynamics optimisation:
New formulation for combination of free-surface and viscous hydrodynamics
Accurate drag prediction with fast turn simulation time
Copyright © 2012 Engys. modeFRONTIER 2012 Users’ Meeting