Information for master students


Graduating in the numerical analysis group (chair C. Vuik).
In the investigation of physical, biological and economical phenomena numerical mathematics and computer simulations play an important role. As an example, we show a detail of the blood flow near a heart valve (video 1 and video 2).

In order to simulate such phenomena, a mathematical model of the reality is set up. Mathematical research is necessary to validate such a model. For this, results, principles and techniques from mathematical analysis are often used. The model should, of course, be an adequate representation of the reality. The necessary knowledge to judge this may be obtained from mathematical physics (biology, economy). Numerical mathematics is then the basis to solve the mathematical model efficiently and accurately. The solution is typically obtained by a computer simulation.

During a graduation at the chair for numerical analysis, the topics analysis, mathematical physics, linear algebra are treated. Most important is, however, the numerical analysis. The Master's thesis research can take place in a variety of topics in numerical mathematics, for example, in reducing numerical errors (of a problem's discretization, for example), or to improve the efficiency of a solution process, to analyse the convergence behaviour of an iterative solution method, or in parallel computing. The numerical questions always arise from practical applications.

If you would like to graduate in the numerical analysis group, the typical procedure is as follows:

Possibilities for Master projects
At this moment there are a number of Master projects available. It is possible to formulate new projects where we take wishes of a masters student into account.
  1. High-order accurate and stable material point method
  2. Shape optimization of an offshore wind turbine crane (Tetrahedron )
  3. High fidelity simulation of resolved interface multiphase flow (NRG )
  4. Shape optimization of an offshore wind turbine crane (Tetrahedron )
  5. Efficient p-multigrid solvers for Isogeometric Analysis
  6. Parallel GPU solver for PLAXIS ( Plaxis )
  7. Parallel multi-domain Finite Element-based computational tool for variable-domain problems (Alten )
  8. Efficient simulation of steady two-fluid flow
  9. Stabilized finite element fluid flow modeling with correct energy dissipation
  10. Understanding the dynamics of oscillating viscoelastic droplets
  11. An integrated energy system on a national scale in 2050 ( Gasunie Transport Services B.V. (GTS) )
  12. Efficiently solving district heating network problems
  13. Deflated preconditioned conjugate gradient method applied to genomic evaluations ( Wageningen UR )
  14. Advancing State-Of- The-Art Cancer Care: Student Projects in Proton Therapy ( Holland Proton Therapy Centre )
  15. Performance comparison of implicit and explicit schemes for the shallow water equations on a GPU with FORTRAN90 code ( Deltares and Stelling Hydraulics )
  16. Incorporating the Discontinuous-Galerkin method within DALES ( KNMI )
  17. Isogeometric Analysis in Industrial Turbomachinery Applications (MTU Aero Engines, Munich, Germany)
  18. Volume-conserving FEM-based level-set method
  19. The contact model for wheel rail interaction (Vortech)
  20. There are a couple of MSc projects available within a collaboration between the TU Delft and Shell. The supervisor for these projects is: Johan Romate
  21. Next-Generation Heat Recovery "Non-condensable gas in two-phase dynamic simulation" (NEM Energy B.V.)
  22. Distributed Alternating Current (AC) power flow with limited information
  23. Efficient computation of slamming loads through zonal modeling (HMC)
  24. Double Wake implementation for thick trailing edge wind turbine airfoils (ECN)
  25. Energy-efficient multigrid solution strategies and their application in dataflow computing
  26. Fast Helmholtz solvers for seismic problems (Shell)
  27. Developing a modelling tool for offshore vessels (Mocean offshore)
  28. Full-waveform inversion using an efficient frequency-domain solver
  29. Positivity-preserving Runge-Kutta Algebraic Flux Correction Schemes for Scalar Conservation Laws with Discontinuous Fluxes (TU Delft and Shell )
  30. Numerical solution of a saddle point linear system ( TU Delft: Department of Geoscience and Remote Sensing )
  31. High-performance Computing for Topology Optimization
  32. CFD - Thermal mixing (NRG)
  33. Mathematical Modeling of Plant Response to Environment (HZPC)
  34. Mathematics of SNPs to Phenotype Map (HZPC)
  35. CFD calibration of a flowmeter (VSL)
  36. Preconditionering van het Multi Level Fast Multipole Algorithm Verbetering van de efficiency van radarsignatuur analyse methoden (Dutch) (NLR)
  37. Development of a full wave code for electron cyclotron wave propagation and absorption
  38. Evaluating the EWI Wind Tunnel Performance
  39. Solving Integral Equations Faster using GPU's
For further information about these project and graduation at the chair Numerical Analysis we refer to: Kees Vuik Kees Oosterlee Fred Vermolen Martin van Gijzen
Dr. Matthias Moller
Dr. Kristof Cools
Dr. Neil Budko
Dr. J. Romate D. den Ouden

Previous Master projects
Below is a list of previous Master projects

How to deal with computer problems?

Additional information

Contact information: Kees Vuik

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