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MECA2300
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Advanced Numerical Methods (LMECA2300)

Christophe Craeye
Philippe Chatelain
Vincent Legat
Jean-François Remacle

Louvain School of Engineering
Université catholique de Louvain

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  • Advanced Numerical Methods in 2024-2025

    This year, the course will focus on numerical methods devoted to acoustic scattering problems. More specifically, integral-equation methods will be used, together with some acceleration techniques. The great advantage of integral-equations approaches is that an analytical solution for wave propagation in free-space is exploited, such that the propagation medium (air in this case) does not need to be meshed. Only the surface of the scatterer (a wall, a car, a person, etc) needs to be discretized.

    The project will be carried out on a 2D domain and accelerated solutions will be studied. Those accelerations will essentially consist of computing much faster the field everywhere based on the velocity profile on the scatterer. This will be made possible thanks to the "multipole decomposition", one of the greatest algorithms of the end of the 20th century. For students who want to go further, the multipole decomposition may also be cast in an iterative solver to obtain a faster solution for the velocity profile itself.

    The project will be divided into a succession of homeworks (4 or 5 homeworks), where more in more freedom will appear in the choice of the problem to be solved. To be carried out in groups of two students. The homeworks will be worth two thirds of the final mark, while a little exam in June will be worth one third of the mark.

    Information about this course can also be found on ZouLab.

    Lecturers: Christophe Craeye

    Lectures schedule : Fridays 2-4 pm.
    Homeworks and project will be done in python language !
    No prerequisites, except numerical methods (LEPL1104) and informatics (LEPL1401).


    (2024-09-12 11:23:02)
  • Advanced Numerical Methods in 2023-2024

    This year, the course will focus on numerical methods for granular materials.
    Granular materials are widespread in various fields and at various scales: they are implied in the mining, chemical, and pharmaceutical industries, as well in geophyiscal flows such as avalanches or volcanic eruptions, and even in astronomy with asteroid belts and the rings of Saturn.
    However, their divided nature makes them difficult to describe with classical continuum mechanics laws.
    Numerical methods thus appear as a key tool in the study of the behaviour of granular materials.
    Together, we will explore the different approaches used in the Discrete Elements Method, which is widely used in the simulation on such materials.

    This course will also give insights on state-of-the art research in the field, by presenting research results obtained with MigFlow, an open-source software developed at UCLouvain and dedicated to the study of immersed granular flows.


    Information about this course can also be found on ZouLab.

    Lecturers: Vincent Legat and Nathan Coppin

    Teaching assistants: Pierre Balty, Michel Henry, Thomas Leyssens and Simon Yans.

    Lectures schedule : Fridays 2-4 pm.
    Homeworks and project will be done in python language !
    No prerequisites, except numerical methods (LEPL1104) and informatics (LEPL1401).


    (2023-09-25 03:51:33)
  • First lecture en 2024-2025 :-)

    The first lecture will be given by Prof. Christophe Crane on Friday February 9th 2025 2pm in room BARB21.

    The lectures and the project will be devoted to Whispering-gallery waves. It will be again a very exciting topic !