Vincent Legat
Recent publications

is Full Professor of Applied Mathematics and Mechanics in the Ecole Polytechnique de Louvain. His research topics include the development of mathematical models and numerical tools for predicting the behaviour of complex materials and analysing their forming processes., computational rheology, fluid mechanics, modeling of polymeric solutions and melts, modeling of turbulent flows, computational geometry and design, numerical software engineering, non-linear finite element methods and formulations, error estimation and adaptive numerical methods, parallel computing.

IMMC main research direction(s):
Computational science
Civil and environmental engineering
Fluid mechanics

finite elements
fluvial hydraulics
geophysical and environmental fluid dynamics
granular materials
non-equilibrium thermodynamics
reacting flows
two-phase flows

Research group(s): MEMA

PhD and Post-doc researchers under my supervision:

An hybrid multiscale model for immersed granular flows
Matthieu Constant

The goal of his thesis is to develop an hybrid multiscale model for immersed granular flows. On one hand, the motion of the grains is obtained by a discrete element method at the granular scale. On the other hand, modified Navier-Stokes equations for porous media are solved to compute the mixture flow using a finite element method at a greater scale than the grains scale. Such a model can be used to represent highly inhomogeneous immersed granular flows going from pure fluid to porous media. The discrete representation of the grains will provide the possibility to discribe accurately the physics of the grains and their interaction with complex geometries while the continuous representation of the mixture will induce a reduced computational time.

Modelling and diagnosing transport processes in a tropical river-lake-delta-sea continuum Application to the Mahakam River (Borneo Island, Indonesia)
Insaf Draoui

The project aims to model and diagnose transport processes in the Mahakam delta using a coupled 1D-2D model. The model will be based on SLIM. Advanced diagnostic methods will be inspired by CART and pertain to both water and sediment. In addition, an attempt will be made to apply the newly-introduced concept of partial age to sediment.

Development of the 3D model of SLIM
Ange Ishimwe

SLIM is a simulation software which resolves the hydrodynamical equation with the use of finite elemnts. My goal is to developpe and improve the 3D model of SLIM. The two criteria are the precision of the results and the computation speed.

Modèle hybride multi- échelle pour l’ étude rh éologique des solutions de macromolécules
Nathan Coppin

graduated in physical engineering at Université Catholique de Louvain in 2018 and is currently pursuing a PhD under the supervision of Prof. Vincent Legat. The goal of his thesis is to study the performance of the MigFlow Software using applications that require the management of frictional contacts.

Recent publications

See complete list of publications

Journal Articles

1. Deleersnijder, Eric; Draoui, Insaf; Lambrechts, Jonathan; Legat, Vincent; Mouchet Anne. Consistent boundary conditions for age calculations. In: Water, Vol. 12, p. 1274 (2020). doi:10.3390/w12051274.

2. Constant, Matthieu; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. Implementation of an unresolved stabilised FEM-DEM model to solve immersed granular flows. In: Computational Particle Mechanics, Vol. 6, no. 2, p. 213-226 (01/04/2019). doi:10.1007/s40571-018-0209-4.

3. Delandmeter, Philippe; Lambrechts, Jonathan; Legat, Vincent; Vallaeys, Valentin; Naithani, Jaya; Thiery, Wim; Remacle, Jean-François; Deleersnijder, Eric. A fully consistent and conservative vertically adaptive coordinate system for SLIM 3D v0.4 with an application to the thermocline oscillations of Lake Tanganyika. In: Geoscientific Model Development, Vol. 11, no.3, p. 1161-1179 (2018). doi:10.5194/gmd-11-1161-2018.

4. Delandmeter, Philippe; Lambrechts, Jonathan; Marmorino, George O.; Legat, Vincent; Wolanski, Eric; Remacle, Jean-Fran?ois; Chen, Wei; Deleersnijder, Eric. Submesoscale tidal eddies in the wake of coral islands and reefs: satellite data and numerical modelling. In: Ocean Dynamics : theoretical, computational oceanography and monitoring, Vol. 67, no.7, p. 897-913 (2017). doi:10.1007/s10236-017-1066-z.

5. Delandmeter, Philippe; Lewis, Stephen E.; Lambrechts, Jonathan; Deleersnijder, Eric; Legat, Vincent; Wolanski, Eric. The transport and fate of riverine fine sediment exported to a semi-open system. In: Estuarine, Coastal and Shelf Science, Vol. 167, p. 336-346 (2015). doi:10.1016/j.ecss.2015.10.011.

6. Seny, Bruno; Lambrechts, Jonathan; Toulorge, Thomas; Legat, Vincent; Remacle, Jean-François. An efficient parallel implementation of explicit multirate Runge–Kutta schemes for discontinuous Galerkin computations. In: Journal of Computational Physics, Vol. 256, no.1, p. 135-160 (2014). doi:10.1016/

7. Bouillon, Sylvain; Fichefet, Thierry; Legat, Vincent; Madec, Gurvan. The elastic–viscous–plastic method revisited. In: Ocean Modelling, Vol. 71, p. 2-12 (2013). doi:10.1016/j.ocemod.2013.05.013.

8. Gourgue, Olivier; Baeyens, Willy; Chen, Margaret; Debrauwere, Anouk; de Brye, Benjamin; Deleersnijder, Eric; Elskens, Marc; Legat, Vincent. A depth-averaged two-dimensional sediment transport model for environmental studies in the Scheldt Estuary and tidal river network. In: Journal of Marine Systems, Vol. 128, p. 27-39 (2013). doi:10.1016/j.jmarsys.2013.03.014 (Accepté/Sous presse).

9. Kärnä, Tuomas; Legat, Vincent; Deleersnijder, Eric. A baroclinic discontinuous Galerkin finite element model for coastal flows. In: Ocean Modelling, Vol. 61, no. 61, p. 1-20 (2013). doi:10.1016/j.ocemod.2012.09.009.

10. Seny, Bruno; Lambrechts, Jonathan; Comblen, Richard; Legat, Vincent; Remacle, Jean-François. Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows. In: International Journal for Numerical Methods in Fluids, Vol. 71, no. 1, p. 41-64 (10 janvier 2013). doi:10.1002/fld.3646.

Conference Papers

1. Draoui, Insaf; Lambrechts, Jonathan; Legat, Vincent; Soares Frazao, Sandra; Hoitink, Ton (A.J.F.); Deleersnijder, Eric. Discontinuous Galerkin method for 1D river flows. In: River Flow 2020, Taylor & Francis Group: London, 2020, 978-0-367-62773-7, p. 1-8.

2. Constant, Matthieu; Vidal, Valérie; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. Approche multi-échelles pour simuler l'injection d'air au sein de matrices granulaires immergées.

3. Constant, Matthieu; Artoni, Riccardo; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. Sorting grains by successive depositions computed using an unresolved FEM-DEM multiscale model.

4. Coppin, Nathan; Constant, Matthieu; Legat, Vincent; Lambrechts, Jonathan; Dubois, Frédéric. Validation du frottement dans un modèle multi-échelles d'écoulements granulaires immergés en vue de l'étude numérique de la traînée.

5. Legat, Vincent; Constant, Matthieu; Lambrechts, Jonathan; Frédéric Dubois. A New FEM/DEM Multiscale Model to Solve Immersed Granular Flows Based on Suspension Drops Simulations.

6. MATA Pablo; Delandmeter, Philippe; Lambrechts, Jonathan; Deleersnijder, Eric; Legat, Vincent. Numerical study of the hydrodynamics of a marine water body in Western Patagonia.

7. Delandmeter, Philippe; Lambrechts, Jonathan; Vallaeys, Valentin; Naithani, Jaya; Remacle, Jean-François; Legat, Vincent; Deleersnijder, Eric. Modelling the oscillations of the thermocline in a lake by means of a fully consistent and conservative 3D finite-element model with a vertically adaptive mesh.

8. Constant, Matthieu; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. An hybrid multiscale model for immersed granular flows.

9. Constant, Matthieu; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. An hybrid multiscale model for immersed granular flows. In: EPJ Web of Conferences. Vol. 140, p. 9-21 (2017). EDP Sciences, 2017. doi:10.1051/epjconf/201714009021.

10. Constant, Matthieu; Dubois, Frédéric; Lambrechts, Jonathan; Legat, Vincent. Modèle hybride multi-échelles pour les écoulements granulaires immergés.

Book Chapters

1. Gourgue, Olivier; Deleersnijder, Eric; Legat, Vincent; Marchal, Emmanuel; White, Laurent. Free and forced thermocline oscillations in Lake Tanganyika. In: The Factor Separation Method in the Atmosphere: Applications and Future Prospects , xxx, 2011. 978-0-521-19173-9. doi:10.1017/CBO9780511921414.011.


1. Legat, Vincent. Méthodes d'éléments finis pour le calcul d'écoulements tridimensionnels à surfaces libres, prom. : Marchal, J. M. ; Crochet, Marcel J., 1992.