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Click on a theme or a project in the table below for more information.
Project leader:
Prof.dr.ir. Barry Koren (CWI/UL/TUD)
Consortium:
CWI, TU/e, UT, TUD, UU
Industrial partners (non-exhaustive):
ASML, Philips Lighting, Alcoa, Boal, MARIN
Total FTE: 9.10 (heads: faculty: 25, PD: 3, PhD: 5)
Key BRICKS publications:
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Almendral and Oosterlee: "Accurate evaluation of European and American options under the CGMY process" In: SIAM J. Sci. Comput. 29: 93-117 (2007)
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Bisseling and Flesch:"Mondriaan sparse matrix partitioning for attacking cryptosystems - a case study" In: Parallel Computing 32, 551-567 (2006)
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Pham Thi, Hundsdorfer, and Sommeijer:"Positivity for explicit two-step methods in linear multistep and one-leg form" In: BIT 46, 875-882 (2006)
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Botchev, Harutyunyan and Van der Vegt: "The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations" In: J. Comput. Phys. 216, 654-686 (2006)
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Wackers and Koren: "A fully conservative model for compressible two-fluid flow" In: Int. J. Numer. Meth. Fluids 47, 1337-1343 (2005)
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Project MSV1: Scientific Computing
The goal of the project Scientific Computing
is twofold: (i) to study and develop novel
computing algorithms and software that are
generic, and (ii) to tackle a selected number
of applications that are challenging from a
scientific computing perspective.
Subprojects are:
Industrial cooperation
Working contacts exist with various industrial
partners in the Netherlands (Philips, ASML,
Corus, Alcoa, Boal, and MARIN), and also
with a few abroad (the National Maritime
Research Institute in Japan and ERBE
Elektromedizin in Germany).
International cooperation
- In 2006, we co-organized a large international conference in the Netherlands, ECCOMAS CFD 2006.
- International cooperation on free-boundary research with TU of Berlin, the U. Zaragoza, and CERFACS.
- In the multiple-scales subproject, cooperation exists with the U. of Lyon, the U. of Stuttgart and the Max Planck Institute in Leipzig.
- International cooperation on Maxwell-equations has been started with some of the world's leading numerical mathematicians, among these G. Golub from Stanford and S.K. Godunov from Novosibirsk.
- In the summer of 2006, the PhD student in the two-fluid subproject was invited for a two-month working visit to the NMRI in Tokyo. The work concentrated on a study of free-surface fitting and free-surface capturing for realistic ship-hydrodynamics problems. A joint publication is in preparation. B. van Leer (U. of Michigan) paid several working visits as an adviser.
Highlights 2004-2006
Research highlights
- A considerable reduction in computing time for multiphase flows has been achieved through novel deflation techniques. Also, improved techniques for the simulation of dissolution and growth processes in aluminium alloys have been developed.
- Important well-posedness and uniqueness results have been obtained for a one-dimensional model of crystal dissolution and precipitation. Furthermore, an ALE method has been applied in two-dimensional simulations.
- It has been found that the commonly used local field approximations are not valid in the head of a propogating streamer.
- In computational electromagnetics important improvements have been obtained with respect to numerical accuracy, efficiency and stability, by developing new numerical techniques. Among these techniques is a Gautschi-Krylov time-integration scheme.
- An efficient multigrid method has been developed for computing steady, turbulent water-air flows. Also, a very accurate method has been developed for computing unsteady, compressible two-fluid flows. For the latter work, an MSc student has been awarded the prize "Beste Afstudeerder 2006" at TU Delft's Faculty of Aerospace Engineering.
Economic & societal impact
The free-boundary research is expected to lead to better aluminium alloys and improved simulation techniques for oil-water flows.
The two-fluid flow subproject will lead to better computational tools for MARIN and the ship-building industry.
Future work 2007-2009
- Free-boundary: (i) implementation of the newly developed methods on parallel and grid computers, (ii) computation of option pricing in more dimensions, (iii) extension of the methods to self-healing materials, and (iv) transfer of the software to industry.
- Multiple scales: the upscaled equations for crystal dissolution and precipitation in a porous medium will be studied. Rigorous convergence results will be derived for the homogenization procedure. In addition, numerical methods for the approximation of solutions of the upscaled model will be investigated.
- Plasma-ignition: a hybrid model for gas discharges will be developed, based on research carried out thus far on fluid approximations and particle models. The hybrid model will combine the computational advantages of fluid models with the more detailed and precise physical description of particle models.
- Two-fluid: in the short term, several publications will be written, as well as a PhD thesis. In the longer term a more intensive cooperation will be set up with industrial research partners at MARIN and NMRI.
For more information, please refer to the publications and posters of this project.
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