Content

See content of the lecture. During the seminars, students program (parts) of numerical discretization and solution procedures in MATLAB.
 

Is also included in other courses

• H04U3A : Numerical Modelling in Mechanical Engineering
• H0N44A : Numerical Modelling in Biomedical Engineering

Content

In the introduction, and overview is presented of the different type of applications in mechanical engineering and energy sciences focussing on common properties for numerical simulation. The governing partial differential equations are formulated, and complemented with boundary conditions and initial conditions. The finite-difference technique and the finite-volume technique are treated, focussing on

•    Spatial discretization and interpolation 
•    Discrete implementation of boundary conditions
•    Time integration schemes 
•    Linearization of non-linear governing systems
•    Introduction to the use of finite-volume discretization for the numerical simulation of Navier-Stokes equations

In addition, various tools for (numerical) analysis are introduced:

•    Mathematical characterization of partial differential equations and consequences for the selection and placement of boundary conditions
•    Taylor series development for determination of accuracy of numerical schemes, and consequences for convergence properties
•    Analysis of numerical stability using Von Neuman analyses, etc.

Each of these methods and analysis tools is discussed with attention for the necessary conditions for their validity and reliability.
 

Course material

Study cost: 1-10 euros (The information about the study costs as stated here gives an indication and only represents the costs for purchasing new materials. There might be some electronic or second-hand copies available as well. You can use LIMO to check whether the textbook is available in the library. Any potential printing costs and optional course material are not included in this price.)

Is also included in other courses

• H04U3A : Numerical Modelling in Mechanical Engineering
• H0N44A : Numerical Modelling in Biomedical Engineering

Content

This course aims at providing a general overview of the different numerical methods available and commonly used to model and simulate electromagnetic devices in electrical energy applications.

The main topics that will be tackled are:

• electromagnetic field models: electrostatics, electrokinetics, electrodynamics, magnetostatics, magnetodynamics and wave propagation;
• electromagnetic field and potential formulations;
• permanent magnets;
• stranded and massive coils (skin and proximity effects);
• treatment of nonlinear materials (saturation, hysteresis);
• computation of global quantities: lumped circuit elements (resistance, inductance, capacitance), flux linkage, Joule losses, iron losses, forces;
• coupling of electromagnetic field and circuit models;
• electro-mechanical models, motion of rigid bodies;
• electro-thermal models;
• optimization;

Particular attention will be paid to state-of-the-art finite element techniques. Basic design rules forelectromagnetic systems are provided as well.

Course material

Study cost: 1-10 euros (The information about the study costs as stated here gives an indication and only represents the costs for purchasing new materials. There might be some electronic or second-hand copies available as well. You can use LIMO to check whether the textbook is available in the library. Any potential printing costs and optional course material are not included in this price.)

Available on Toledo:

• handouts and slides
• articles and/or reports
• background reading

Is also included in other courses

• H0E94A : Numerical Methods for Electrotechnical Applications

Content

Practical work consists in simulating different electromagnetic problems.

During the simulation sessions, the open-source mesh generator Gmsh (http://geuz.org/gmsh) and the finite-element software GetDP (http://geuz.org/getdp) are used. Further, GetDP and Gmsh are integrated in ONELAB (http://onelab.info/wiki/Main_Page), the examples therein will be very helpful as well.

For each considered application, the students must:

• choose the most suitable finite-element electromagnetic formulation;
• make the geometry and generate a well adapted mesh;
• validate and analise the results;

For a detailed analysis of the results, e.g. error computation, convergence, optimization, MATLAB (http://www.mathworks.nl) or Octave (http://www.gnu.org/software/octave/) can be used.

Course material

Available on Toledo:

• lab detailed description
• background reading: related articles and/or reports

Computer

Open-source software packages:

• A mesher: Gmsh (http://geuz.org/gmsh)
• A finite element solver: GetDP (http://geuz.org/getdp)

Format: more information

Modelling and solving real application problems by means of open-source software packages.

Is also included in other courses

• H0E94A : Numerical Methods for Electrotechnical Applications

Content

Using commercial CFD software, a heat-transfer problem in a turbulent flow is simulated.

Content

This lecture provides an introduction to Computational Fluid Dynamics (CFD) and the simulation of turbulent flows. Following topics are covered:

• brief introduction to turbulence
• overview of techniques for the simulation of turbulent flows (i.e. DNS, LES en RANS)
• detailed elaboration of the RANS technique (RANS: Reynolds Averaged Navier-Stokes Simulation).
• discussion of most common turbulence models used for RANS
• importance of wall functions for flows with high Reynolds numbers
• explication of a number of practical examples with attention for  accuracy and reliability. Discussion of possible pitfalls related to bad convergence, boundary conditions, or selection of the computational mesh