Degrees

Courses

Multi-scale numerical methods

We are developing simulation tools based on multi-scale numerical methods such as the finite element method. The finite element method discretizes the governing equations on an unstructured mesh with a variable resolution. It is thus possible to locally change the resolution according to the scale of the processes of interest. The flexibility of unstructured meshes allows us to represent a broader range of spatial scales and thus make best use of the computing resources. These developments are performed in the framework of the SLIM project. SLIM is an unstructured-mesh hydrodynamical model developed at UCL and that is currently used for a number of applications, including the study of the connectivity in the Great Barrier Reef or the integrated modelling of the land-sea continuum in complex river-estuary systems. Furthermore, we are also interested in the mathematical properties of these models, like wave-dispersion properties or stability of turbulence closure schemes.

Non-Brownian dispersion models

We are using stochastic models to simulate the dispersion of tracers in complex systems, such as turbulent flows or heterogeneous porous media. These models are not based on the Brownian-motion assumption but instead assume that particles are following a Levy process. Clouds of particles can therefore be represented by Levy distributions, which form a family of so-called "heavy-tailed" probability distributions. Such distributions are now used in a number of applications in finance, hydrology or biology to represent the effect of large variations or "extreme events" that can occur in complex systems. It can be shown that Levy distributions are solutions of a fractional-order diffusion equation that requires some specific numerical treatment. The non-local nature of fractional-order diffusion operators has lead us to consider non-local numerical methods, like the spectral element method, to solve that equation. 

| |

2012 Article de périodique (Journal article) Hanert, Emmanuel (2012). Front dynamics in a two-species competition model driven by Lévy flights. In : Journal of Theoretical Biology (7 Mai 2012), p. 134-142. doi: 10.1016/j.jtbi.2012.01.022. http://hdl.handle.net/2078.1/107033. Le Roux, Daniel; Walters, Roy; Hanert, Emmanuel; Pietrzak, Julie (2012). A comparison of the GWCE and mixed P1NC–P1 formulations in finite-element linearized shallow-water models. In : International Journal for Numerical Methods in Fluids. doi: 10.1002/fld.2540. http://hdl.handle.net/2078.1/70817. Contribution à ouvrage collectif (Book Chapter) Hanert, Emmanuel; Piret, Cécile (2012). Numerical solution of the space-time fractional diffusion equation: Alternatives to finite differences. In :Proceedings of the 5th Symposium on Fractional Differentiation and its Applications. http://hdl.handle.net/2078.1/111144. 2011 Article de périodique (Journal article) Hanert, Emmanuel (2011). On the numerical solution of space–time fractional diffusion models. In : Computers & Fluids. doi: 10.1016/j.compfluid.2010.08.010. http://hdl.handle.net/2078.1/70816. Van den Hoof, Catherine; Hanert, Emmanuel; Vidale, Pier Luigi (2011). Simulating dynamic crop growth with an adapted land surface model - JULES-SUCROS : Model development and validation. In : Agricultural and Forest Meteorology (2011), p. 137-153. doi: 10.1016/j.agrformet.2010.09.011. http://hdl.handle.net/2078.1/70809. Hanert, Emmanuel; Schumacher, Eva; Deleersnijder, Eric (2011). Front dynamics in fractional-order epidemic models. In : Journal of Theoretical Biology. doi: 10.1016/j.jtbi.2011.03.012. http://hdl.handle.net/2078.1/70889. 2010 Article de périodique (Journal article) Jonard, Mathieu; Augusto, Laurent; Hanert, Emmanuel; Achat, David L.; Bakker, Mark R.; Pellerin, S. et al. (2010). Modeling forest floor contribution to phosphorus supply to maritime pine seedlings in two-layered forest soils. In : Ecological Modelling (2010), p. 927-935. doi: 10.1016/j.ecolmodel.2009.12.017. http://hdl.handle.net/2078.1/34052. Hanert, Emmanuel (2010). A comparison of three Eulerian numerical methods for fractional-order transport models. In : Environmental Fluid Mechanics (Dordrecht, 2001) (2010), p. 7-20. doi: 10.1007/s10652-009-9145-4. http://hdl.handle.net/2078.1/34196. Deleersnijder, Eric; Bard, Edouard; Crucifix, Michel; Fichefet, Thierry; Hanert, Emmanuel (2010). Le réchauffement climatique est réel et l'Homme en est le principal responsable. In : Le Soir (6 janvier 2010), p. 15. http://hdl.handle.net/2078.1/70814. Contribution à ouvrage collectif (Book Chapter) De Maet, Thomas; Hanert, Emmanuel (2010). Towards a 3D Continuous-Discontinuous Galerkin sub- surface water-flow model. In :Proceedings of the joint ISSH and ICWRER Symposium, Quebec (Canada), p. 1-7. http://hdl.handle.net/2078.1/71570. De Weirdt, Marjolein; Verbeeck, Hans; Moreau, Inès; Hanert, Emmanuel; Defourny, Pierre (2010). Modelling the foliage seasonal carbon cycle in tropical forests. In :Proceedings of ESA-iLEAPS-EGU joint Conference on Earth Observation for Land- Atmosphere Interaction Science, Rome (Italy). http://hdl.handle.net/2078.1/71672. Moreau, Inès; Defourny, Pierre; Hanert, Emmanuel; De Weirdt, Marjolein; Verbeeck, Hans (2010). Integrating SPOT-VEGETATION 10-yr Time Series and Land Surface Modelling to Forecast the Terrestrial Carbon Dynamics in a Changing Climate. In :Proceedings of ESA-iLEAPS-EGU joint Conference on Earth Observation for Land- Atmosphere Interaction Science, Rome (Italy), p. 1-6. http://hdl.handle.net/2078.1/72878. 2009 Article de périodique (Journal article) Walters, Roy A.; Lane, Emily M.; Hanert, Emmanuel (2009). Useful time-stepping methods for the Coriolis term in a shallow water model. In : Ocean Modelling (2009), p. 66-74. doi: 10.1016/j.ocemod.2008.10.004. http://hdl.handle.net/2078.1/35631. Ham, David A.; Pain, Christopher C.; Hanert, Emmanuel; Pietrzak, Julie; Schroeter, Jens (2009). Special Issue: The sixth international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows. Imperial College London, September 19-21, 2007. In : Ocean Modelling (2009), p. 1-1. doi: 10.1016/j.ocemod.2009.02.005. http://hdl.handle.net/2078.1/35628. Walters, R. A.; Hanert, Emmanuel; Pietrzak, Julie; Le Roux, D. Y. (2009). Comparison of unstructured, staggered grid methods for the shallow water equations. In : Ocean Modelling (2009), p. 106-117. doi: 10.1016/j.ocemod.2008.12.004. http://hdl.handle.net/2078.1/35632. Le Roux, D.Y.; Hanert, Emmanuel; Rostand, V.; Pouillot, B. (2009). Impact of mass lumping on gravity and Rossby waves in 2D finite-element shallow-water models. In : International Journal for Numerical Methods in Fluids (2009), p. 767-790. doi: 10.1002/fld.1837. http://hdl.handle.net/2078.1/70811. Hanert, Emmanuel; Walters, R.A.; Le Roux, D.Y.; Pietrzak, Julie (2009). A tale of two elements: P1NC-P1 and RT0. In : Ocean Modelling (2009), p. 24-33. doi: 10.1016/j.ocemod.2008.07.002. http://hdl.handle.net/2078.1/70815. Contribution à ouvrage collectif (Book Chapter) Griffies, S.M.; Deleersnijder, Eric; Hanert, Emmanuel (2009). Problems and prospects in large-scale ocean circulation models. In :J. Hall, D.E. Harrison and D. Stammer, OceanObs’09: Sustained Ocean Observations and Information for SocietyESA Publication WPP-306, p. 1-23. http://hdl.handle.net/2078.1/71541. Monographie (Book) Hanert, Emmanuel; Ham, David; Pietrzak, Julie; Schröter, Jens; Pain, Chris (2009). Special Issue: The sixth international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows. Elsevier. p. 192. http://hdl.handle.net/2078.1/71568. 2008 Article de périodique (Journal article) Deleersnijder, Eric; Hanert, Emmanuel; Burchard, Hans; Dijkstra, Henk A. (2008). On the mathematical stability of stratified flow models with local turbulence closure schemes. In : Ocean Dynamics : theoretical, computational oceanography and monitoring (2008), p. 237-246. doi: 10.1007/s10236-008-0145-6. http://hdl.handle.net/2078.1/36255. Lambrechts, Jonathan; Hanert, Emmanuel; Deleersnijder, Eric; Bernard, Paul-Emile; Legat, Vincent; Remacle, J.; Wolanski, E. et al. (2008). A multi-scale model of the hydrodynamics of the whole Great Barrier Reef. In : Estuarine, Coastal and Shelf Science (2008), p. 143-151. doi: 10.1016/j.ecss.2008.03.016. http://hdl.handle.net/2078.1/36453. Dunbar, T.M.; Hanert, Emmanuel; Hogan, R.J. (2008). A one-dimensional finite-element boundary-layer model with a vertical adaptive grid. In : Boundary-Layer Meteorology (2008), p. 459-472. doi: 10.1007/s10546-008-9297-7. http://hdl.handle.net/2078.1/70812. 2007 Article de périodique (Journal article) Hanert, Emmanuel; Deleersnijder, Eric; Blaise, Sébastien; Remacle, Jean-François (2007). Capturing the bottom boundary layer in finite element ocean models. In : Ocean Modelling (2007), p. 153-162. doi: 10.1016/j.ocemod.2006.11.006. http://hdl.handle.net/2078.1/37633. 2006 Article de périodique (Journal article) Hanert, Emmanuel; Deleersnijder, Eric; Legat, Vincent (2006). An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme (vol 12, pg 205, 2006). In : Ocean Modelling (2006), p. 137-137. doi: 10.1016/j.ocemod.2006.07.001. http://hdl.handle.net/2078.1/38243. Legrand, Sebastien; Deleersnijder, Eric; Hanert, Emmanuel; Legat, Vincent; Wolanski, E. (2006). High-re solution, unstructured meshes for hydrodynamic models of the Great Barrier Reef, Australia. In : Estuarine, Coastal and Shelf Science (2006), p. 36-46. doi: 10.1016/j.ecss.2005.08.017. http://hdl.handle.net/2078.1/38396. Hanert, Emmanuel; Deleersnijder, Eric; Legat, Vincent (2006). An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme. In : Ocean Modelling (2006), p. 205-223. doi: 10.1016/j.ocemod.2005.05.003. http://hdl.handle.net/2078.1/38687. Hanert, Emmanuel; Legat, Vincent (2006). How to save a bad element with weak boundary conditions. In : Computers & Fluids (2006), p. 477-484. doi: 10.1016/j.compfluid.2005.02.005. http://hdl.handle.net/2078.1/38697. Wolanski, Eric; Williams, D.; Hanert, Emmanuel (2006). The Sediment Trapping Efficiency of the Macro-tidal Daly Estuary, Tropical Australia. In : Estuarine, Coastal and Shelf Science (2006), p. 291-298. doi: 10.1016/j.ecss.2006.04.023. http://hdl.handle.net/2078.1/70813. 2005 Article de périodique (Journal article) Hanert, Emmanuel; Le Roux, DY; Legat, Vincent; Deleersnijder, Eric (2005). An efficient Eulerian finite element method for the shallow water equations. In : Ocean Modelling (2005), p. 115-136. doi: 10.1016/j.ocemod.2004.06.006. http://hdl.handle.net/2078.1/39384. Le Roux, DY; Sene, A; Rostand, V; Hanert, Emmanuel (2005). On some spurious mode issues in shallow-water models using a linear algebra approach. In : Ocean Modelling (2005), p. 83-94. doi: 10.1016/j.ocemod.2004.07.008. http://hdl.handle.net/2078.1/39383. 2004 Article de périodique (Journal article) Hanert, Emmanuel; Le Roux, DY; Legat, Vincent; Deleersnijder, Eric (2004). Advection schemes for unstructured grid ocean modelling. In : Ocean Modelling (2004), p. 39-58. doi: 10.1016/S1463-5003(03)00029-5. http://hdl.handle.net/2078.1/40161. 2003 Article de périodique (Journal article) Hanert, Emmanuel; Legat, Vincent; Deleersnijder, Eric (2003). A comparison of three finite elements to solve the linear shallow water equations. In : Ocean Modelling (2003), p. 17-35. doi: 10.1016/S1463-5003(02)00012-4. http://hdl.handle.net/2078.1/40862. 2002 Article de périodique (Journal article) Spagnol, S; Wolanski, E.; Deleersnijder, Eric; Brinkman, R.; McAllister, F; Hanert, E. et al. (2002). An error frequently made in the evaluation of advective transport in two-dimensional Lagrangian models of advection-diffusion in coral reef waters. In : Marine Ecology - Progress Series Online (2002), p. 299-302. doi: 10.3354/meps235299. http://hdl.handle.net/2078.1/41796.

Biography

Degrees

Teaching

Courses

Research

Multi-scale numerical methods

We are developing simulation tools based on multi-scale numerical methods such as the finite element method. The finite element method discretizes the governing equations on an unstructured mesh with a variable resolution. It is thus possible to locally change the resolution according to the scale of the processes of interest. The flexibility of unstructured meshes allows us to represent a broader range of spatial scales and thus make best use of the computing resources. These developments are performed in the framework of the SLIM project. SLIM is an unstructured-mesh hydrodynamical model developed at UCL and that is currently used for a number of applications, including the study of the connectivity in the Great Barrier Reef or the integrated modelling of the land-sea continuum in complex river-estuary systems. Furthermore, we are also interested in the mathematical properties of these models, like wave-dispersion properties or stability of turbulence closure schemes.

Non-Brownian dispersion models

We are using stochastic models to simulate the dispersion of tracers in complex systems, such as turbulent flows or heterogeneous porous media. These models are not based on the Brownian-motion assumption but instead assume that particles are following a Levy process. Clouds of particles can therefore be represented by Levy distributions, which form a family of so-called "heavy-tailed" probability distributions. Such distributions are now used in a number of applications in finance, hydrology or biology to represent the effect of large variations or "extreme events" that can occur in complex systems. It can be shown that Levy distributions are solutions of a fractional-order diffusion equation that requires some specific numerical treatment. The non-local nature of fractional-order diffusion operators has lead us to consider non-local numerical methods, like the spectral element method, to solve that equation. 

Publications

| |

2012 Article de périodique (Journal article) Hanert, Emmanuel (2012). Front dynamics in a two-species competition model driven by Lévy flights. In : Journal of Theoretical Biology (7 Mai 2012), p. 134-142. doi: 10.1016/j.jtbi.2012.01.022. http://hdl.handle.net/2078.1/107033. Le Roux, Daniel; Walters, Roy; Hanert, Emmanuel; Pietrzak, Julie (2012). A comparison of the GWCE and mixed P1NC–P1 formulations in finite-element linearized shallow-water models. In : International Journal for Numerical Methods in Fluids. doi: 10.1002/fld.2540. http://hdl.handle.net/2078.1/70817. Contribution à ouvrage collectif (Book Chapter) Hanert, Emmanuel; Piret, Cécile (2012). Numerical solution of the space-time fractional diffusion equation: Alternatives to finite differences. In :Proceedings of the 5th Symposium on Fractional Differentiation and its Applications. http://hdl.handle.net/2078.1/111144. 2011 Article de périodique (Journal article) Hanert, Emmanuel (2011). On the numerical solution of space–time fractional diffusion models. In : Computers & Fluids. doi: 10.1016/j.compfluid.2010.08.010. http://hdl.handle.net/2078.1/70816. Van den Hoof, Catherine; Hanert, Emmanuel; Vidale, Pier Luigi (2011). Simulating dynamic crop growth with an adapted land surface model - JULES-SUCROS : Model development and validation. In : Agricultural and Forest Meteorology (2011), p. 137-153. doi: 10.1016/j.agrformet.2010.09.011. http://hdl.handle.net/2078.1/70809. Hanert, Emmanuel; Schumacher, Eva; Deleersnijder, Eric (2011). Front dynamics in fractional-order epidemic models. In : Journal of Theoretical Biology. doi: 10.1016/j.jtbi.2011.03.012. http://hdl.handle.net/2078.1/70889. 2010 Article de périodique (Journal article) Jonard, Mathieu; Augusto, Laurent; Hanert, Emmanuel; Achat, David L.; Bakker, Mark R.; Pellerin, S. et al. (2010). Modeling forest floor contribution to phosphorus supply to maritime pine seedlings in two-layered forest soils. In : Ecological Modelling (2010), p. 927-935. doi: 10.1016/j.ecolmodel.2009.12.017. http://hdl.handle.net/2078.1/34052. Hanert, Emmanuel (2010). A comparison of three Eulerian numerical methods for fractional-order transport models. In : Environmental Fluid Mechanics (Dordrecht, 2001) (2010), p. 7-20. doi: 10.1007/s10652-009-9145-4. http://hdl.handle.net/2078.1/34196. Deleersnijder, Eric; Bard, Edouard; Crucifix, Michel; Fichefet, Thierry; Hanert, Emmanuel (2010). Le réchauffement climatique est réel et l'Homme en est le principal responsable. In : Le Soir (6 janvier 2010), p. 15. http://hdl.handle.net/2078.1/70814. Contribution à ouvrage collectif (Book Chapter) De Maet, Thomas; Hanert, Emmanuel (2010). Towards a 3D Continuous-Discontinuous Galerkin sub- surface water-flow model. In :Proceedings of the joint ISSH and ICWRER Symposium, Quebec (Canada), p. 1-7. http://hdl.handle.net/2078.1/71570. De Weirdt, Marjolein; Verbeeck, Hans; Moreau, Inès; Hanert, Emmanuel; Defourny, Pierre (2010). Modelling the foliage seasonal carbon cycle in tropical forests. In :Proceedings of ESA-iLEAPS-EGU joint Conference on Earth Observation for Land- Atmosphere Interaction Science, Rome (Italy). http://hdl.handle.net/2078.1/71672. Moreau, Inès; Defourny, Pierre; Hanert, Emmanuel; De Weirdt, Marjolein; Verbeeck, Hans (2010). Integrating SPOT-VEGETATION 10-yr Time Series and Land Surface Modelling to Forecast the Terrestrial Carbon Dynamics in a Changing Climate. In :Proceedings of ESA-iLEAPS-EGU joint Conference on Earth Observation for Land- Atmosphere Interaction Science, Rome (Italy), p. 1-6. http://hdl.handle.net/2078.1/72878. 2009 Article de périodique (Journal article) Walters, Roy A.; Lane, Emily M.; Hanert, Emmanuel (2009). Useful time-stepping methods for the Coriolis term in a shallow water model. In : Ocean Modelling (2009), p. 66-74. doi: 10.1016/j.ocemod.2008.10.004. http://hdl.handle.net/2078.1/35631. Ham, David A.; Pain, Christopher C.; Hanert, Emmanuel; Pietrzak, Julie; Schroeter, Jens (2009). Special Issue: The sixth international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows. Imperial College London, September 19-21, 2007. In : Ocean Modelling (2009), p. 1-1. doi: 10.1016/j.ocemod.2009.02.005. http://hdl.handle.net/2078.1/35628. Walters, R. A.; Hanert, Emmanuel; Pietrzak, Julie; Le Roux, D. Y. (2009). Comparison of unstructured, staggered grid methods for the shallow water equations. In : Ocean Modelling (2009), p. 106-117. doi: 10.1016/j.ocemod.2008.12.004. http://hdl.handle.net/2078.1/35632. Le Roux, D.Y.; Hanert, Emmanuel; Rostand, V.; Pouillot, B. (2009). Impact of mass lumping on gravity and Rossby waves in 2D finite-element shallow-water models. In : International Journal for Numerical Methods in Fluids (2009), p. 767-790. doi: 10.1002/fld.1837. http://hdl.handle.net/2078.1/70811. Hanert, Emmanuel; Walters, R.A.; Le Roux, D.Y.; Pietrzak, Julie (2009). A tale of two elements: P1NC-P1 and RT0. In : Ocean Modelling (2009), p. 24-33. doi: 10.1016/j.ocemod.2008.07.002. http://hdl.handle.net/2078.1/70815. Contribution à ouvrage collectif (Book Chapter) Griffies, S.M.; Deleersnijder, Eric; Hanert, Emmanuel (2009). Problems and prospects in large-scale ocean circulation models. In :J. Hall, D.E. Harrison and D. Stammer, OceanObs’09: Sustained Ocean Observations and Information for SocietyESA Publication WPP-306, p. 1-23. http://hdl.handle.net/2078.1/71541. Monographie (Book) Hanert, Emmanuel; Ham, David; Pietrzak, Julie; Schröter, Jens; Pain, Chris (2009). Special Issue: The sixth international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows. Elsevier. p. 192. http://hdl.handle.net/2078.1/71568. 2008 Article de périodique (Journal article) Deleersnijder, Eric; Hanert, Emmanuel; Burchard, Hans; Dijkstra, Henk A. (2008). On the mathematical stability of stratified flow models with local turbulence closure schemes. In : Ocean Dynamics : theoretical, computational oceanography and monitoring (2008), p. 237-246. doi: 10.1007/s10236-008-0145-6. http://hdl.handle.net/2078.1/36255. Lambrechts, Jonathan; Hanert, Emmanuel; Deleersnijder, Eric; Bernard, Paul-Emile; Legat, Vincent; Remacle, J.; Wolanski, E. et al. (2008). A multi-scale model of the hydrodynamics of the whole Great Barrier Reef. In : Estuarine, Coastal and Shelf Science (2008), p. 143-151. doi: 10.1016/j.ecss.2008.03.016. http://hdl.handle.net/2078.1/36453. Dunbar, T.M.; Hanert, Emmanuel; Hogan, R.J. (2008). A one-dimensional finite-element boundary-layer model with a vertical adaptive grid. In : Boundary-Layer Meteorology (2008), p. 459-472. doi: 10.1007/s10546-008-9297-7. http://hdl.handle.net/2078.1/70812. 2007 Article de périodique (Journal article) Hanert, Emmanuel; Deleersnijder, Eric; Blaise, Sébastien; Remacle, Jean-François (2007). Capturing the bottom boundary layer in finite element ocean models. In : Ocean Modelling (2007), p. 153-162. doi: 10.1016/j.ocemod.2006.11.006. http://hdl.handle.net/2078.1/37633. 2006 Article de périodique (Journal article) Hanert, Emmanuel; Deleersnijder, Eric; Legat, Vincent (2006). An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme (vol 12, pg 205, 2006). In : Ocean Modelling (2006), p. 137-137. doi: 10.1016/j.ocemod.2006.07.001. http://hdl.handle.net/2078.1/38243. Legrand, Sebastien; Deleersnijder, Eric; Hanert, Emmanuel; Legat, Vincent; Wolanski, E. (2006). High-re solution, unstructured meshes for hydrodynamic models of the Great Barrier Reef, Australia. In : Estuarine, Coastal and Shelf Science (2006), p. 36-46. doi: 10.1016/j.ecss.2005.08.017. http://hdl.handle.net/2078.1/38396. Hanert, Emmanuel; Deleersnijder, Eric; Legat, Vincent (2006). An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme. In : Ocean Modelling (2006), p. 205-223. doi: 10.1016/j.ocemod.2005.05.003. http://hdl.handle.net/2078.1/38687. Hanert, Emmanuel; Legat, Vincent (2006). How to save a bad element with weak boundary conditions. In : Computers & Fluids (2006), p. 477-484. doi: 10.1016/j.compfluid.2005.02.005. http://hdl.handle.net/2078.1/38697. Wolanski, Eric; Williams, D.; Hanert, Emmanuel (2006). The Sediment Trapping Efficiency of the Macro-tidal Daly Estuary, Tropical Australia. In : Estuarine, Coastal and Shelf Science (2006), p. 291-298. doi: 10.1016/j.ecss.2006.04.023. http://hdl.handle.net/2078.1/70813. 2005 Article de périodique (Journal article) Hanert, Emmanuel; Le Roux, DY; Legat, Vincent; Deleersnijder, Eric (2005). An efficient Eulerian finite element method for the shallow water equations. In : Ocean Modelling (2005), p. 115-136. doi: 10.1016/j.ocemod.2004.06.006. http://hdl.handle.net/2078.1/39384. Le Roux, DY; Sene, A; Rostand, V; Hanert, Emmanuel (2005). On some spurious mode issues in shallow-water models using a linear algebra approach. In : Ocean Modelling (2005), p. 83-94. doi: 10.1016/j.ocemod.2004.07.008. http://hdl.handle.net/2078.1/39383. 2004 Article de périodique (Journal article) Hanert, Emmanuel; Le Roux, DY; Legat, Vincent; Deleersnijder, Eric (2004). Advection schemes for unstructured grid ocean modelling. In : Ocean Modelling (2004), p. 39-58. doi: 10.1016/S1463-5003(03)00029-5. http://hdl.handle.net/2078.1/40161. 2003 Article de périodique (Journal article) Hanert, Emmanuel; Legat, Vincent; Deleersnijder, Eric (2003). A comparison of three finite elements to solve the linear shallow water equations. In : Ocean Modelling (2003), p. 17-35. doi: 10.1016/S1463-5003(02)00012-4. http://hdl.handle.net/2078.1/40862. 2002 Article de périodique (Journal article) Spagnol, S; Wolanski, E.; Deleersnijder, Eric; Brinkman, R.; McAllister, F; Hanert, E. et al. (2002). An error frequently made in the evaluation of advective transport in two-dimensional Lagrangian models of advection-diffusion in coral reef waters. In : Marine Ecology - Progress Series Online (2002), p. 299-302. doi: 10.3354/meps235299. http://hdl.handle.net/2078.1/41796.