eindhoven centre for computational engineering 1 computational engineering (ce) presence of top...
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Eindhoven Centre for Computational Engineering
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Computational Engineering (CE)Computational Engineering (CE)
•Presence of top research institutions on campus•Practical orientation of educational programmes, with an emphasis on design•Leading partner in graduate schools which focus on CE•Solid co-operation on CE within European organisations • Many contacts with companies in a variety of industrial branches•Close multidisciplinary co-operation between groups of various faculties in the area of CE •A number of chairs (from 5 faculties) have founded the
Position of Technical University of Eindhoven
Eindhoven Centre for Computational Engineering, ECCE
Eindhoven Centre for Computational Engineering
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Faculty of Mathematics and Computing ScienceProf. Dr. C.J. van Duijn (Applied Analysis)Prof. Dr. P.A.J. Hilbers (Parallel Computing)Prof. Dr. R.M.M. Mattheij (Scientific Computing)
Faculty of Mechanical EngineeringProf. Dr. Ir. F.P.T. Baaijens (Biomechanics)Prof. Dr. Ir. J.H.H. Brouwers (Turbulence)Prof. Dr. Ir. D.H. van Campen (Dynamics)Prof. Dr. H. Nijmeier (Dynamics and Control)Prof. Dr. Ir. H.E.H. Meijer (Mechanics of Polymers) Prof. Dr. Ir. A.A. van Steenhoven (Heat and mass Transfer)Prof. Dr. L.P.H. de Goey (Combustion)
Chairs participating in ECCE (I)
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Faculty of Technical PhysicsProf. Dr. Ir. M.E.H. van Dongen (Fluid Mechanics)Prof. Dr. Ir. G.J. van Heijst (geophysical flows)
Faculty of Technical ChemistryProf. Dr. R.A. van Santen (Anorganic Chemistry)Prof. Dr. G. de With (Material Science)Prof. Dr. E.W. Meijer (Organic Chemistry)
Faculty of Electrical Engineering Prof. Dr. A.G. TijhuisProf. Dr. Ir. P.P.J. van de Bosch (Control)
Chairs participating in ECCE (II)
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Address of ECCE:c/o Prof. Dr. R.M.M. Mattheij
Department of Mathematics and Computing Science Technische Universiteit Eindhoven
Postbus 513 5600 MB Eindhoven
The Netherlands Tel +31 40 2472080 Fax +31 40 2442489
www.win.tue/~ecce
The next pages contain a summary of the chair of Scientific Computing
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education
consultancyresearch
trainingsupportexpertise
training
projects
expertise
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COMPOSITIONCOMPOSITION
The Scientific Computing Group is part of the dept of mathematics: Teaching & Research: 7 personsProgramming Staff: 2 personsPost-docs: 2 personsPhD-students: 12 persons
Research: modelling, numerical methods and simulations(“mathematics for industry”)
Tools: SG cluster, PC-Linux cluster, large facilities at SARA2000Software and Visualisation Platform “NumLab”
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RESEARCH SUBJECTSRESEARCH SUBJECTS
•Finite Element Methods (mixed FEM)•Finite Volume Methods (high order conservative schemes)•Boundary Element Methods (adaptivity, inhomogeneities)•Structured grids (LDC method)•(Non)linear Solvers (enhancing robustness/convergence)•Differential-Algebraic Equations (conditioning)•Parallel Computing (domain decomposition)•Visualisation (coupling with numerical platform)
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Co-operation matrixCo-operation matrix
glass combustion el circuits por. media other
modelling T,N,E T,N N,E T,N T,N,E
analysis T,N N T,N,E
computing T,N,E T,N N T,N T,N,E
validation N N T,N,E
T: within TUE N: within the Netherlands E: within Europe
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CO-OPERATION WITH INDUSTRY:CO-OPERATION WITH INDUSTRY:
•Glass: TNO, Ver Ned Glas,- Morphology of glass forms- Flow in a glass oven
•Combustion: Gastec, Gasunie,- Industrial and household burners
•Circuits: Philips •Porous media: TNO, Sphinx Ceramics,
- Salt Percolation in Bricks- Drying of Clay Forms
•Metal: ELDIM, Rolls Royce, - drilling of holes (electro-chem / laser percussion)
•Turbulence: ELDIM, - Cooling holes in turbines
•Cooling Machinery: Stirling Cryogenics:
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SOME EXAMPLESSOME EXAMPLES
•Morphology of Glass
•2-D Vortices
•Electro - Chemical Drilling
•Laminar Flames
•Local Defect Correction
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GLASS MORPHOLOGYGLASS MORPHOLOGY
Glass products, like container glass, is often produced usingpressing. The hot glass is pressed into a mould , and partially cooled. The material is very viscous and the flow quite complicated to simulate numerically, since the geometry is changing and there are more time scales involved
parison(preform)
plunjermould
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Parison simulation: pressure
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Parison simulation: effect of slip
No slip Full slip
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Filling of thread of bottle
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2-D VORTICES2-D VORTICES
If depth is small compared to the other length scales, turbulenceis self organising, not chaotic . A method to simulate the evolution of vortices is so-called contour dynamics. The vortex patch is discretised as a sum of ever smaller patches with constant vorticity which are geometrically contained in the previous patch
From above distribution
vorticity
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ELECTRO-CHEMICAL DRILLINGELECTRO-CHEMICAL DRILLING
The blades of gasturbines are cooled by injecting relatively cool air through holes (turbulators). These holes are drilled using electrolysis. The drill is essentially the cathode which is moved down in thehole of the material (the anode), filled with an electrolyte. The problem consists of solving the field equations and the control ofthe electrolysis
super alloy
electrolyte
cathode
insulationBurnt gas
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Various stages of the drilling
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3D Visualisation of the Turbulator
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Flow through the Turbulators
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LAMINAR FLAMESLAMINAR FLAMES
In household burners it is important to control the stability andthe NO .In order to understand these (laminar) flames, numerical simulation is necessary. The equations involved are conservationof mass, momentum, energy and species. Discretisations are doneby special conservative finite volume methods
x
2-D flame(temperature)
grid
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Simulation of two flames
Stabilising flameBlow off
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LOCAL DEFECT CORRECTIONLOCAL DEFECT CORRECTION
Often numerical simulations require local grid refinement.
This results in “unstructured grids”. In order to be able to
still use (the simpler!) uniform grids the residual of the course
grid on the fine grid is computed, from which an update on the
composite grid is formed.
This results in an iterative process,
called LDC. For flow problems
we are particularly interested in
finite volume methods, which are
conserving fluxes
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LDC EXAMPLELDC EXAMPLE
s ).( given on the boundary sink of
H
h
810
source term (smooth) solution
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H
h
NUMERICAL RESULTNUMERICAL RESULT
H=1/33 H=1/34 H=1/35TABLEunknowns error unknowns error unknowns error
h=1/33
h=1/34
h=1/35
h=1/36
729 778 1090 3754
1.7 100
1.1 10-4
1.6 10-5
1.2 10-5
6561 6922 9586
7.4 10-5
8.3 10-6
1.5 10-6 59049 62074
8.3 10-6
9.3 10-7