Journal papers
Chapters in books
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- A.P. Ishimwe, E. Deleeersnijder, V. Legat, J. Lambrechts
A multi-scale IMEX second order Runge-Kutta method for 3D hydrodynamic ocean models
Journal of Computational Physics, Vol. 520, 113482 (2025)
doi : 10.1016/j.jcp.2024.113482
- N. Coppin, H. Michel, M. Cabrera, E. Azéma, F. Dubois, V. Legat, J. Lambrechts
Collapse dynamics of two-dimensional dry and immersed granular columns of elongated grains
Physical Review Fluids, Vol. 8, 9:094303 (2023)
doi: 110.1103/PhysRevFluids.8.094303
- A.P. Ishimwe, E. Deleeersnijder, V. Legat, J. Lambrechts
A split-explicit second order Runge-Kutta method for solving 3D hydrodynamic equations
Ocean Modelling, Vol. 186, 102273 (2023)
doi: 10.1016/j.ocemod.2023.102273
- P. Fedoseev, A. Karimov, V. Legat, D. Butusov
Preference and Stability Regions for Semi-Implicit Composition Schemes
Mathematics, Vol. 10, 22:1-13 (2022)
doi: 10.3390/math10224327
- L. Beuken, O. Cheffert, A. Tutueva, D. Butusov, V. Legat
Numerical stability and performance of Semi-Explicit and Semi-Implicit Predictor-Corrector methods
Mathematics, Vol. 10, 12:1-14 (2022)
doi: 10.3390/math10122015
- N. Coppin, M. Constant, J. Lambrechts, F. Dubois, V. Legat
Numerical analysis of the drag on a rigid body in an immersed granular flow
Computational Particle Mechanics, Vol. 9, 393-406 (2022)
doi: 10.1007/s40571-021-00418-w
- M. Constant, N. Coppin, F. Dubois, R. Artoni, J. Lambrechts, V. Legat
Numerical investigation of the density sorting of grains using water jigging
Power Technology, Vol. 393, 705-721 (2021)
doi: 10.1016/j.powtec.2021.07.036
- E. Deleersnijder, I. Draoui, J. Lambrechts, V. Legat, A. Mouchet
Consistent boundary conditions for age calculations
Water, Vol. 12(5), 1274:1-29 (2020)
doi: 10.3390/w12051274
- G. Van Achter, L. Ponsoni, F. Massonnet, T. Fichefet, V. Legat
Brief communication: Arctic sea ice thickness internal variability and its changes under historical and anthropogenic forcing
The Cryosphere, Vol. 14, 3479-3486 (2020)
doi: 10.5194/tc-14-3479-2020
- M. Constant, N. Coppin, F. Dubois, V. Vidal, V. Legat, J. Lambrechts
Simulation of air invasion in immersed granular beds with an unresolved FEM-DEM model
Computational Particle Mechanics, Vol. 8, 535-560 (2020)
doi: 10.1007/s40571-020-00351-4
- M. Constant, F. Dubois, J. Lambrechts, V. Legat
Implementation of an unresolved stabilised FEM-DEM model to solve immersed granular flows
Computational Particle Mechanics, Vol. 6, 213-226 (2019)
doi: 10.1007/s40571-018-0209-4
- P. Delandmeter, J. Lambrechts, V. Legat, V. Vallaeys, J. Naithani, W. Thiery, J.-F. Remacle, E. Deleersnijder
A fully consistent and conservative vertically adaptive coordinate system for SLIM 3D v0.4 with an application to the thermocline oscillations of Lake Tanganyika
Geoscientific Model Development, Vol. 11, 1161-1179 (2018)
doi: 10.5194/gmd-11-1161-2018
- P. Delandmeter, J. Lambrechts, G.O. Marmorino, V. Legat, E. Wolanski, J.-F. Remacle, W. Chen, E. Deleersnijder
Submesoscale tidal eddies in the wake of coral islands and reefs: satellite data and numerical modelling
Ocean Dynamics, Vol. 67, 897-913 (2017)
doi: 10.1007/s10236-017-1066-z
- J. Naithani, B. de Brye, E. Buyze, W. Vyverman, V. Legat, E. Deleersnijder
An ecological model for the Scheldt estuary and tidal rivers ecosystem: spatial and temporal variability of plankton
Hydrobiologia, Vol. 775, 51-67 (2016)
doi: 10.1007/s10750-016-2710-1
- P. Delandmeter, S.E. Lewis, J. Lambrechts, E. Deleersnijder, V. Legat, E. Wolanski
The transport and fate of riverine fine sediment exported to a semi-open system
Estuarine, Coastal and Shelf Science, Vol. 167, 336-346 (2015)
doi: 10.1016/j.ecss.2015.10.011
- B. Seny, J. Lambrechts, T. Toulorge, V. Legat, J.-F. Remacle
An efficient parallel implementation of explicit multirate Runge-Kutta schemes for discontinuous Galerkin computations
Journal of Computational Physics, Vol. 256, 135-160 (2014)
doi: 10.1002/fld.3646
- B. Seny, J. Lambrechts, R. Comblen, V. Legat, J.-F. Remacle
Multirate time stepping for accelerating explicit Discontinuous Galerkin computations with application to geophysical flows
International Journal for Numerical Methods in Fluids, Vol. 71, 41-64 (2013)
doi: 10.1016/j.jcp.2013.07.041
- S. Bouillon, T. Fichefet, V. Legat, G. Madec
The elastic-viscous-plastic method revisited
Ocean Modelling, Vol. 71, 2-12 (2013)
doi: 10.1016/j.ocemod.2013.05.013
- O. Gourgue, W. Bayens, M. Chen, A. Debrauwere, B. de Brye, E. Deleersnijder, V. Legat
A depth-averaged two-dimensional sediment transport model for environmental studies in the Scheldt Estuary and tidal river network
Journal of Marine Systems, Vol. 128, 27-39 (2013)
doi: 10.1016/j.jmarsys.2013.03.014
- T. Kärnä, V. Legat, E. Deleersnijder
A baroclinic discontinuous Galerkin finite element model for coastal flows
Ocean Modelling, Vol. 61, 1-20 (2013)
doi: 10.1016/j.ocemod.2012.09.009
- T. Kärnä,, E. Deleersnijder, V. Legat, H. Burchard,
Coupling of a discontinuous Galerkin finite element marine model with a finite difference turbulence closure model
Ocean Modelling,
Vol. 47, 55-64 (2012)
doi:10.1016/j.ocemod.2012.01.001
- S. Melchior, V. Legat, P. Van Dooren, A.J. Wathen
Analysis of preconditioned iterative solvers for incompressible flow problems
International Journal for Numerical Methods in Fluids, Vol. 68, 269-289 (2012)
doi: 10.1002/fld.2505
- O. Lietaer, E. Deleersnijder, T. Fichefet, M. Vancoppenolle, S. Bouillon, V. Legat,
The vertical age profile in sea ice: Theory and numerical results
Ocean Modelling,
Vol. 40, 211-226 (2011)
doi:10.1016/j.ocemod.2011.09.002
- L. Girard, S. Bouillon, J. Weiss, D. Amitrano, T. Fichefet, V. Legat,
A new modeling framework for sea-ice mechanics based on elasto-brittle rheology
Annals of Glaciology, Vol. 52, 123-132, (2011)
- G. Samaey, T. Lelièvre, V. Legat,
A numerical closure approach
for kinetic models of polymeric fluids: exploring closure
relations for FENE dumbbells
Computers and Fluids, Vol. 43, 119-133 (2011)
doi:10.1016/j.compfluid.2010.06.023
- T. Kärnä, B. de Brye, O. Gourgue, J.
Lambrechts, R. Comblen, V. Legat, E. Deleersnijder,
A fully implicit wetting-drying method for DG-FEM
shallow water models, with an application to the
Scheldt Estuary
Computer Methods in Applied Mechanics and Engineering, Vol. 200, 509-524 (2011)
doi: 10.1016/j.cma.2010.07.001
- E. Deleersnijder, V. Legat, P. Lermusiaux
Multi-scale modelling of coastal, shelf and global ocean dynamics
Ocean Dynamics, Vol. 60, 1357-1359 (2010)
doi: 10.1007/s10236-010-0363-6
- S. Blaise, R. Comblen, V. Legat, E. Deleersnijder, J.-F. Remacle, J. Lambrechts
A discontinuous finite element baroclinic marine model on unstructured prismatic meshes
Part I: space discretization
Ocean Dynamics, Vol. 60, 1371-1393 (2010)
doi: 10.1007/s10236-010-0358-31
- R. Comblen, S. Blaise, V. Legat, E. Deleersnijder, J.-F. Remacle, J. Lambrechts
A discontinuous finite element baroclinic marine model on unstructured prismatic meshes
Part II: implicit/explicit time discretization
Ocean Dynamics, Vol. 60, 1395-1414 (2010)
doi: 10.1007/s10236-010-0357-4
- O. Gourgue, E. Deleersnijder, V. Legat, E. Marchal, L. White,
Free and forced thermocline oscillations
in Lake Tanganyika
in
The Factor Separation Method in the Atmosphere: Applications and Future Prospects,
edited by P. Alpert and T. Sholokhman
Cambridge University Press (2010)
isbn-13: 9780521191739
- R. Comblen, J. Lambrechts, J.-F. Remacle, V. Legat,
Practical evaluation
of five partly-discontinuous finite element pairs for the non-conservative
shallow water equations
International Journal for Numerical Methods in Fluids,
Vol. 73, 701-724 (2010)
doi:10.1002/fld.2094
- O. Gourgue, R. Comblen, J. Lambrechts, T. Kärnä, V. Legat, E. Deleersnijder,
A flux-limiting wetting-drying method for finite-element shallow-water models,
with application to the Scheldt Estuary,
Advances in Water Resources , Vol. 32, 1726-1739 (2009)
doi:10.1016/j.advwatres.2009.09.005
- P.-E. Bernard, J.-F. Remacle, R. Comblen, V. Legat, K. Hillewaert,
High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations
Journal of Computational Physics,
Vol. 228, 6514-6535 (2009)
doi:10.1016/j.jcp.2009.05.046
- R. Comblen, S. Legrand,
E. Deleersnijder, V. Legat,
A finite element method for solving the shallow water equations on the sphere
Ocean Modelling,
Vol. 28, 12-23 (2009)
doi:10.1016/j.ocemod.2008.05.004
- P.-E. Bernard, J.-F. Remacle, V. Legat,
Modal analysis on unstructured meshes of the dispersion properties of the $P^{NC}_1-P_1$ pair
Ocean Modelling,
Vol. 28, 2-11 (2009)
doi:10.1016/j.ocemod.2008.03.005
- S. Bouillon, M.A. Morales Maqueda, V. Legat, T. Fichefet,
An elastic-viscous-plastic sea ice model formulated on Arakawa B and C grids Ocean Modelling,
Vol. 27, 174-184 (2009)
doi:10.1016/j.ocemod.2009.01.004
- P.-E. Bernard, J.-F. Remacle, V. Legat,
Boundary discretization for high order discontinuous Galerkin computations of tidal flows
around shallow water islands
International Journal for Numerical Methods in Fluids,
Vol. 59, 535-557 (2009)
doi:10.1002/fld.1831
- L. White, V. Legat, E. Deleersnijder,
Tracer conservation for three-dimensional,
finite element, free-surface, ocean modeling on moving prismatic meshes Monthly Weather Review,
Vol. 136, 420-442 (2008)
doi: 10.1175/2007MWR2137.1
- L. White, E. Deleersnijder, V. Legat,
A three-dimensional unstructured
mesh finite element shallow-water
model, with application to the flows around an
island and in a wind-driven, elongated basin Ocean Modelling,
Vol. 22, 26-47 (2008)
doi:10.1016/j.ocemod.2008.01.001
- J. Lambrechts, R. Comblen,
V. Legat, C. Geuzaine, J.-F. Remacle,
Multiscale mesh generation on the sphere
Ocean Dynamics, Vol. 58, 461-473 (2008)
doi:10.1007/s10236-008-0148-3
- J. Lambrechts, E. Hanert, E. Deleersnijder, P.-E. Bernard, V. Legat, J.-F. Remacle, E. Wolanski,
A multi-scale model of the hydrodynamics of the whole Great Barrier Reef
Estuarine, Coastal and Shelf Science, Vol. 79, 143-151 (2008)
doi:10.1016/j.ecss.2008.03.016
- P.-E. Bernard, V. Legat, E. Deleersnijder, J.-F. Remacle,
Dispersion analysis of Discontinuous
Galerkin schemes applied to Poincaré, Kelvin and Rossby waves
Journal of Scientific Computing,
Vol. 34, 14-47 (2008)
doi:10.1007/s10915-007-9156-6
- O. Lietaer, T. Fichefet, V. Legat,
The effects of resolving the
Canadian Arctic Archipelago in a finite element sea ice model
Ocean Modelling, Vol. 24, 140-152 (2008)
doi:10.1016/j.ocemod.2008.06.002
- S. Legrand, E. Deleersnijder, E. Delhez, V. Legat,
Unstructured, anisotropic mesh generation for the Northwestern European continental shelf, the continental slope and the neighbouring ocean
Continental Shelf Research, Vol. 27, 1344-1356 (2007)
doi:10.1016/j.csr.2007.01.009
- P.-E. Bernard, N. Chevaugeon, V. Legat, E. Deleersnijder, J.-F. Remacle
High-order h-adaptive discontinuous Galerkin methods for ocean modelling
Ocean Dynamics, Vol. 57, 109-121 (2007)
doi:10.1007/s10236-006-0093-y
(Erratum)
doi:10.1007/s10236-007-0127-0
- L. White, V. Legat, E. Deleersnijder, D.Y. Le Roux
A one-dimensional benchmark for the propagation of Poincaré waves
Ocean Modelling, Vol. 15, 101-123 (2006)
doi:10.1016/j.ocemod.2005.11.001
- L. White, J.-M. Beckers, E. Deleersnijder, V. Legat,
Comparison of free-surface and rigid-lid finite element models of barotropic instabilities
Ocean Dynamics, Vol. 56, 86-103 (2006)
doi:10.1007/s10236-006-0059-0
- S. Legrand, E. Deleersnijder, E. Hanert, V. Legat, E. Wolanski,
High-resolution, unstructured meshes for hydrodynamic models of the Great Barrier Reef, Australia
Estuarine, Coastal and Shelf Science, Vol. 68, 36-46 (2006)
doi:10.1016/j.ecss.2005.08.017
- E. Hanert, E. Deleersnijder, V. Legat
An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme
Ocean Modelling, Vol. 12, 205-223 (2006)
doi:10.1016/j.ocemod.2005.05.003
(Erratum : reference in the special issue) Vol. 15, 237 (2006)
doi:10.106/j.ocemod.2006.07.001
- E. Hanert, V. Legat,
How to save a bad element with weak boundary conditions ?
Computers and Fluids, Vol. 35, 477-484 (2006)
doi:10.1016/j.compfluid.2005.02.005
- C. Friebel, I. Doghri, V. Legat,
General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions
International Journal of Solids and Structures, Vol. 43, 2513-2541 (2006)
doi:10.1016/j.ijsolstr.2005.06.035
- M. Oozeer, C. Veraart, V. Legat, J. Delbeke
A model of the mammalian optic nerve fibre based on experimental data
Vision Research, Vol. 46, 2513-2524 (2006)
doi:10.1016/j.visres.2006.01.021
- M. Oozeer, C. Veraart, V. Legat, J. Delbeke
Simulation of intra-orbital optic nerve electrical stimulation
Medical and Biological Engineering and Computing, Vol. 43, 608-617 (2005)
doi:10.1007/BF02351034
- E. Hanert, D.Y. Le Roux, V. Legat, E. Deleersnijder,
An efficient Eulerian finite element method for the shallow water equations
Ocean Modelling, Vol. 10, 115-136 (2005)
doi:10.1016/j.ocemod.2004.06.006
- E. Hanert, D.Y. Le Roux, V. Legat, E. Deleersnijder,
Advection schemes for unstructured grid ocean modelling
Ocean Modelling, Vol. 7, 39-58 (2004)
doi:10.1016/S1463-5003(03)00029-5
- B. Alsteens, V. Legat, T. Avalosse,
Parametric study of the mixing efficiency in a kneading block section of a twin-screw extruder
International Polymer Processing, Vol. 19, 207-217 (2004)
directlink.asp?IPP1836
- C. Balan, V. Legat, A. Neagoe, D. Nistoran
Experimental investigations and numerical simulations for an open channel flow of a weak elastic polymer solution around a T-profile
Experiments in Fluids, Vol. 36, 408-418 (2004)
doi:10.1007/s00348-003-0727-5
- E. Hanert, V. Legat, E. Deleersnijder,
A comparison of three finite elements to solve the linear shallow water equations
Ocean Modelling, Vol. 5, 17-35 (2003)
doi:10.1016/S1463-5003(02)00012-4
- S. Legrand, V. Legat, E. Deleersnijder,
Delaunay mesh generation for an unstructured-grid ocean general circulation model
Ocean Modelling, Vol. 2, 17-28 (2000)
doi:10.1016/S1463-5003(00)00005-6
- M. Grosso, P.L. Maffettone, P. Halin, R. Keunings, V. Legat,
Flow of nematic polymers in eccentric cylinder geometry: influence of closure approximations
Journal of Non-Newtonian Fluid Mechanics, Vol. 94, 119-134 (2000)
doi:10.1016/S0377-0257(00)00146-4
- P. Wapperom, R. Keunings, V. Legat,
The backward-tracking Lagrangian particle method for transient viscoelastic flows
Journal of Non-Newtonian Fluid Mechanics, Vol. 91, 273-295 (2000)
doi:10.1016/S0377-0257(99)00095-6
- S. Parrini, J. Delbeke, V. Legat, C. Veraart,
Modelling analysis of human optic nerve fibre excitation based on experimental data
Medical and Biological Engineering and Computing, Vol. 38, 454-464 (2000)
doi:10.1007/BF02345016
- S. Parrini, J. Delbeke, E. Romero, V. Legat, C. Veraart,
Hybrid finite elements and spectral method for computation of the electric potential generated by a nerve cuff electrode
Medical and Biological Engineering and Computing, Vol. 37, 733-736 (1999)
doi:10.1007/BF02513375
- R. Sizaire, G. Lielens, I. Jaumain, R. Keunings, V. Legat,
On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow
Journal of Non-Newtonian Fluid Mechanics, Vol. 82, 233-253 (1999)
doi:10.1016/S0377-0257(98)00164-5
- X. Gallez, P. Halin, G. Lielens, R. Keunings, V. Legat,
The adaptive Lagrangian particle method for macroscopic and micro-macro computations of time-dependent viscoelastic flows
Computer Methods in Applied Mechanics and Engineering, Vol. 180, 345-364 (1999)
doi:10.1016/S0045-7825(99)00173-5
- G. Lielens, R. Keunings, V. Legat,
The FENE-L and FENE-LS closure approximations to the kinetic theory of finitely extensible dumbbells
Journal of Non-Newtonian Fluid Mechanics, Vol. 87, 179-196 (1999)
doi:10.1016/S0377-0257(99)00063-4
- P. Halin, G. Lielens, R. Keunings, V. Legat,
The Lagrangian Particle Method for macroscopic and micro-macro viscoelastic flow computations
Journal of Non-Newtonian Fluid Mechanics, Vol. 79, 387-403 (1998)
doi:10.1016/S0377-0257(98)00123-2
- G. Lielens, P. Halin, I. Jaumain, R. Keunings, V. Legat,
New closure approximations for the kinetic theory of finitely extensible dumbbells
Journal of Non-Newtonian Fluid Mechanics, Vol. 76, 249-279 (1998)
doi:10.1016/S0377-0257(97)00121-3
- G. Dantinne, H. Jeanmart, G. Winckelmans, V. Legat, D. Carati
Hyperviscosity and Vorticity-Based Models for Subgrid Scale Modeling
Applied Scientific Research - Flow, Turbulence and Combustion, Vol. 59, 409-420 (1998)
doi:10.1023/A:1001179014517
- V. Warichet, V. Legat,
Adaptive high-order prediction of the drag correction factor for the upper-convected Maxwell fluid
Paper dedicated to Vincent Van Kemenade, in memoriam
Journal of Non-Newtonian Fluid Mechanics, Vol. 73, 95-114 (1997)
doi:10.1016/S0377-0257(97)00057-8
- R. Sizaire, V. Legat,
Finite element simulation of a filament stretching extensional rheometer
Journal of Non-Newtonian Fluid Mechanics, Vol. 71, 89-107 (1997)
doi:10.1016/S0377-0257(97)00013-X
- B. Purnode, V. Legat,
Hyperbolicity and change of type in flows of FENE-P fluids
Journal of Non-Newtonian Fluid Mechanics, Vol. 65, 111-129 (1996)
doi:10.1016/0377-0257(96)01449-8
- V. Warichet, V. Legat,
Adaptive hp-finite element viscoelastic flow calculations
Computer Methods in Applied Mechanics and Engineering, Vol. 136, 93-110 (1996)
doi:10.1016/0045-7825(96)01052-3
- V. Legat,
Computer Modelling of Viscoelastic Flows,
in Rheological Fundamentals of Polymer Processing edited by J.A. Covas, J.F. Agassant, A.C. Diogo, J. Vlachopoulos,
K. Walters
Nato asi series, Applied Sciences, Kluwer Academic Publishers, 209-230 (1995)
isbn:0792337921
- V. Legat, J.T. Oden,
An adaptive hp Finite Element method for incompressible free surface flows
of generalized Newtonian fluids,
in A collection of papers in honor Paul M. Naghdi edited by J. Casey and M.J. Crochet
ZAMP : Zeitschrift für angewandte Mathematics und Physics, Special Issue, Vol. 46, S643-S678 (1995)
isbn:376435139X
- J.T. Oden, W. Wu, V. Legat,
An hp adaptive strategy for finite element approximations of the Navier-Stokes equations
International Journal for Numerical Methods in Fluids, Vol. 20, 831-851 (1995)
doi:10.1002/fld.1650200810
- F. Debae, V. Legat, M.J. Crochet,
Practical evalutation of 4 mixed finite-element methods for viscoelastic flow
Journal of Rheology, Vol. 38, 421-442 (1994)
doi:10.1122/1.550521
- V. Legat, J.-M. Marchal,
Die design: An implicit formulation for the inverse problem
International Journal for Numerical Methods in Fluids, Vol. 16, 29-42 (1993)
doi:10.1002/fld.1650160103
- M.J. Crochet, V. Legat,
The consistent streamline-upwind/Petrov-Galerkin method for viscoelastic flow revisited
Journal of Non-Newtonian Fluid Mechanics, Vol. 42, 283-299 (1992)
doi:10.1016/0377-0257(92)87014-3
- V. Legat, J.-M. Marchal,
On the stability and the accuracy of numerical techniques used to simulate the
flow of differential viscoelastic fluids: a one-dimensional model
Journal of Rheology, Vol. 36, 1325-1348 (1992)
doi:10.1122/1.550265
- V. Legat, J.-M. Marchal,
Prediction of three-dimensional general shape extrudates by an implicit iterative scheme
International Journal for Numerical Methods in Fluids, Vol. 14, 609-625 (1992)
doi:10.1002/fld.1650140507
- V. Legat
Méthodes d'éléments finis pour le calcul d'écoulements à surfaces libres
PhD Thesis, UCLouvain
Advisors : J.-M. Marchal, M. Crochet (1992)
hdl.handle.net/2078.1/206019
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