Applied mechanics and mathematics
Sciences and Technology
He realized a PhD thesis between the Université de Liège and Université catholique de Louvain, under the supervision of Prof. Christophe Geuzaine and Prof. Jean-François Remacle. His research work was related to surface reparameterizations, two-dimensional crossfield computation and 3D frame representation. He was funded by ARC WAVES project 15/19-03.
A first objective of the research project is therefore to explore new approaches for generating multiblock decompositions of general 3D domains. We will build on the recent developments in 3D frame fields and aim at improving formulations based on the constrained minimization of an energy function. A second lead that will be explored is based on the decomposition of the domain in convex sub-regions, on which existing methods are more robust.
Constructing a new class of meshes is only relevant if those meshes are endowed with a true benefit in terms of CPU/GPU time and accuracy. A second objective is therefore to extend existing Computational Fluid
Dynamics technologies for Cartesian grids to multiblock grids. In particular, we want to take advantage of the conformal map-like nature of the mesh to increase computational performance, and also show how our methodology can be applied to models with moving or deforming boundaries.
Now he is a PhD student at Université catholique de Louvain on Fast Helmholtz solvers on Multi-Threaded Atchitectures under the supervision of Prof. Jean-François Remacle and Prof. Christophe Geuzaine.
He is coordinating the SLIM project (Second-generation Louvain-la-Neuve Ice-ocean Model, www.climate.be/slim) and he is the co-founder of the Constituent-oriented Age and Residence time Theory (CART, www.climate.be/cart)
He has held research or teaching positions in Belgium and abroad. He currently is a reader at the Université catholique de Louvain (Louvain-la-Neuve, Belgium), where he is lecturing on several aspects of mechanics. He is also an honorary researcher with the Belgian Fund for Scientific Research (FRS-FNRS, www.fnrs.be). On October 1st, 2014, he accepted a five-year, part-time professorship in applied mathematics at the Delft University of Technology (Delft, The Netherlands, www.tudelft.be).
Additional pieces of information may be found on his website (www.ericd.be).
- the modeling of the main constituents such as collagen, elastin and smooth muscles ;
- time dependent evolution such as growth and structural remodeling.
Some developed tools are also used to predict fracture in bended stainless steels.
- Simulating flow in Tonle Sap, Cambodia by SLIM;
- Study on floc characteristics in Luang Prabang, Laos and Mekong Delta
-Study of a Ginzburg-Landau fonctional containing a co-variant -gradient.
-Implementation of mathematical curvature for numerical applications.
-Mathematical study of cross fields.
He is currently doing a PhD on Multi-threaded Mesh Generation under the supervision of Prof. Jean-François Remacle. His research aims to improve the performance of 3D tetrahedral mesh generation by parallelizing and enhancing state of the art meshing process.
He is currently doing a PhD under the supervision of Prof. Jean-François Remacle. His research focuses on all-hex meshing.
There is a growing consensus in the computational mechanics community that state of the art solver technology requires, and will continue to require too extensive computational resources to provide the necessary resolution for a broad range of demanding applications, even at the rate that computational power increases. The requirement for high resolution naturally leads us to consider methods which have a higher order of grid convergence than the classical (formal) 2nd order provided by most industrial grade codes. This indicates that higher-order discretization methods will replace at some point the current finite volume and finite element solvers, at least for part of their applications.
The development of high-order numerical technologies for engineering analysis has been underway for many years now. For example, Discontinuous Galerkin methods (DGM) have been largely studied in the literature, initially in a theoretical context, and now from the application point of view.
In many contributions, it is shown that the accuracy of the method strongly depends on the accuracy of the geometrical discretization. Consequently, it is necessary to address the problem of generating the high- order meshes that are needed to fully benefit from high-order methods. Our team at UCL was one of the pioneers in curvilinear meshing. This research project aims at developing a new area of research, namely curvilinear mesh adaptation. The underlying research question can be stated as follow: let f(x,y) be a smooth function defined on the unit square. What is the mesh that minimizes the approximation error || f - Pf || where || . || is the L2 norm and P the Clément interpolant. Two main questions will have to be addressed: (i) how can we define a suitable metric that actually represents the approximation error and (ii) how do we build a mesh that is somehow aligned with the geodesics of the metric.
The extreme thermal operation conditions and high neutron flux in fusion devices lead to material degradation, however, tungsten, the main candidate for the plasma-facing material, needs to possess high crack resistance and ductility within the operating time.
The objective of this project is to develop a finite element model capable to simulate mechanical behaviour of polycrystalline tungsten under tensile testing with the focus made on effect of test temperature and irradiation-induced defects, by drawing information from both experiments and models, such as crystal plasticity, molecular dynamics and dislocation dynamics. The model will be used to predict the mechanical integrity of commercial tungsten grades upon ITER-relevant and DEMO-relevant exploitation conditions accounting for the neutron irradiation and transient loads.