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Eindhoven Centre for Computational Engineering 1 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

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Eindhoven Centre for Computational Engineering 2 Faculty of Mathematics and Computing Science Prof. 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 Engineering Prof. 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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Eindhoven Centre for Computational Engineering 3 Faculty of Technical Physics Prof. Dr. Ir. M.E.H. van Dongen (Fluid Mechanics) Prof. Dr. Ir. G.J. van Heijst (geophysical flows) Faculty of Technical Chemistry Prof. 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. Tijhuis Prof. Dr. Ir. P.P.J. van de Bosch (Control) Chairs participating in ECCE (II)

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Eindhoven Centre for Computational Engineering 4 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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Eindhoven Centre for Computational Engineering 5 education consultancy research training support expertise training projects expertise

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Eindhoven Centre for Computational Engineering 6 COMPOSITION The Scientific Computing Group is part of the dept of mathematics: Teaching & Research: 7 persons Programming Staff: 2 persons Post-docs: 2 persons PhD-students: 12 persons Research: modelling, numerical methods and simulations (“mathematics for industry”) Tools: SG cluster, PC-Linux cluster, large facilities at SARA2000 Software and Visualisation Platform “NumLab”

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Eindhoven Centre for Computational Engineering 7 RESEARCH 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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Eindhoven Centre for Computational Engineering 8 Co-operation matrix T: within TUE N: within the Netherlands E: within Europe

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Eindhoven Centre for Computational Engineering 9 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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Eindhoven Centre for Computational Engineering 10 SOME EXAMPLES Morphology of Glass 2-D Vortices Electro - Chemical Drilling Laminar Flames Local Defect Correction

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Eindhoven Centre for Computational Engineering 11 GLASS MORPHOLOGY Glass products, like container glass, is often produced using pressing. 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) plunjer mould

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Eindhoven Centre for Computational Engineering 12

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Eindhoven Centre for Computational Engineering 13 Parison simulation: pressure

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Eindhoven Centre for Computational Engineering 14 Parison simulation: effect of slip No slipFull slip

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Eindhoven Centre for Computational Engineering 15 Filling of thread of bottle

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Eindhoven Centre for Computational Engineering 16 2-D VORTICES If depth is small compared to the other length scales, turbulence is 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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Eindhoven Centre for Computational Engineering 17

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Eindhoven Centre for Computational Engineering 18 ELECTRO-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 the hole of the material (the anode), filled with an electrolyte. The problem consists of solving the field equations and the control of the electrolysis super alloy electrolyte cathode insulation Burnt gas

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Eindhoven Centre for Computational Engineering 19 Various stages of the drilling

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Eindhoven Centre for Computational Engineering 20 3D Visualisation of the Turbulator

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Eindhoven Centre for Computational Engineering 21 Flow through the Turbulators

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Eindhoven Centre for Computational Engineering 22 LAMINAR FLAMES In household burners it is important to control the stability and the NO.In order to understand these (laminar) flames, numerical simulation is necessary. The equations involved are conservation of mass, momentum, energy and species. Discretisations are done by special conservative finite volume methods x 2-D flame (temperature) grid

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Eindhoven Centre for Computational Engineering 23 Simulation of two flames Stabilising flameBlow off

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Eindhoven Centre for Computational Engineering 24 LOCAL 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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Eindhoven Centre for Computational Engineering 25 LDC EXAMPLE given on the boundarysink of H h source term (smooth)solution

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Eindhoven Centre for Computational Engineering 26 H h NUMERICAL RESULT

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