Publications of Vincent Legat
Professor of Applied Mathematics and Mechanics

Ecole Polytechnique de Louvain
Université catholique de Louvain

E-mail: vincent(dot)legat(at)uclouvain(dot)be
https://perso.uclouvain.be/vincent.legat/

Journal papers
Chapters in books
  1. 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, accepted available online, Vol 8. 9:094303 (2023)  doi: 110.1103/PhysRevFluids.8.094303  
  2. A.P. Ishimwe, E. Deleeersnijder, V. Legat, J. Lambrechts
    A split-explicit second order Runge-Kutta method for solving 3D hydrodynamic equations
    Ocean Modelling, accepted available online (2023)  doi: 10.1016/j.ocemod.2023.102273  
  3. 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  
  4. 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  
  5. 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  
  6. 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  
  7. 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  
  8. 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  
  9. 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  
  10. 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  
  11. 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  
  12. 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  
  13. 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  
  14. 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  
  15. 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  
  16. 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  
  17. 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  
  18. 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  
  19. 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  
  20. 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  
  21. 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  
  22. 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  
  23. 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) 
  24. 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  
  25. 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  
  26. 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  
  27. 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  
  28. 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  
  29. 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 
  30. 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  
  31. 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  
  32. 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  
  33. 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  
  34. 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  
  35. 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  
  36. 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  
  37. 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  
  38. 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  
  39. 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  
  40. 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  
  41. 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  
  42. 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  
  43. 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  
  44. 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  
  45. 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  
  46. 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  
  47. 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  
  48. 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  
  49. 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  
  50. 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  
  51. 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  
  52. 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  
  53. 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  
  54. 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  
  55. 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  
  56. 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  
  57. 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  
  58. 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  
  59. 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  
  60. 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  
  61. 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  
  62. 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  
  63. 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  
  64. 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  
  65. 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  
  66. 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  
  67. 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  
  68. 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  
  69. 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  
  70. 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  
  71. 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  
  72. 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  
  73. 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  
  74. 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  
  75. 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  
  76. 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  
  77. 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  
  78. 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  
  79. 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  
  80. 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  
  81. 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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