Publications

2011

• A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics.
  
  • Goutal N.
  • Sainte-Marie Jacques
  International Journal for Numerical Methods in Fluids, Wiley, 2011, 67 (7), pp.914-938. The classical Saint-Venant system is well suited for the modeling of dam breaks, hydraulic jumps, reservoir emptying, flooding, etc. For many applications, the extension of the Saint-Venant system to the case of non rectangular channels is necessary and this section-averaged Saint-Venant system exhibits additional source terms. The main difficulty of these equations consists in the discretization of these source terms. In this paper we propose a kinetic interpretation for the section averaged Saint-Venant system and we derive an associated numerical scheme. The numerical scheme~-- 2$^{nd}$ order in space and time~-- preserves the positivity of the water height, and is well-balanced. Numerical results including comparisons with analytic and experimental test problems illustrate the accuracy and the robustness of the numerical algorithm (10.1002/fld.2401)
  DOI : 10.1002/fld.2401
• Numerical simulations of a non-hydrostatic Shallow Water model
  
  • Bristeau Marie-Odile
  • Goutal Nicole
  • Sainte-Marie Jacques
  Computers and Fluids, Elsevier, 2011, 47 (1), pp.51-64. For geophysical flows, the Saint-Venant system is often a good approximation of the Navier-Stokes equa- tions and so it is widely used for the simulations of shallow water flows and gravity waves. But the Saint- Venant system fails to represent the non-hydrostatic effects such as those associated for example with dispersive waves. To overcome this limitation, we propose an extended version of the Saint-Venant sys- tem and an associated finite volume scheme for the numerical simulations. The proposed model has sev- eral interesting properties e.g. it admits an energy balance and it preserves the dynamics of solitary waves. Several numerical results are given and especially comparisons between simulations and exper- imental measurements. (10.1016/j.compfluid.2011.02.013)
  DOI : 10.1016/j.compfluid.2011.02.013
• Nonlinear fluid-structure interaction problem. Part I: implicit partitioned algorithm, nonlinear stability proof and validation examples
  
  • Kassiotis Christophe
  • Ibrahimbegovic Adnan
  • Niekamp Rainer
  • Matthies Hermann G.
  Computational Mechanics, Springer Verlag, 2011, 47, pp.305-323. In this work we consider the fluid-structure interaction in fully nonlinear setting, where different space discretization can be used. The model problem considers finite elements for structure and finite volume for fluid. The computations for such interaction problem are performed by implicit schemes, and the partitioned algorithm separating fluid from structural iterations. The formal proof is given to find the condition for convergence of this iterative procedure in the fully nonlinear setting. Several validation examples are shown to confirm the proposed convergence criteria of partitioned algorithm. The proposed strategy provides a very suitable basics for code-coupling implementation as discussed in Part II. (10.1007/s00466-010-0545-6)
  DOI : 10.1007/s00466-010-0545-6
• TELEMAC: An efficient hydrodynamics suite for massively parallel architectures
  
  • Moulinec Charles
  • Denis Christophe
  • Pham C.-T.
  • Rougé D.
  • Hervouët Jean-Michel
  • Razafindrakoto Emile
  • Barber R. W.
  • Emerson D. R.
  • Gu X. J.
  Computers and Fluids, Elsevier, 2011, 51 (1), pp.30-34. This paper investigates the use of TELEMAC (a Finite Element-based hydrodynamics suite) on massively parallel computer architectures. The performance of TELEMAC is illustrated using two separate test cases. The first considers the use of TELEMAC-2D for simulating tidal currents in the vicinity of a renewable energy marine turbine farm, in order to provide reliable estimates of the expected energy yield. The second demonstrates the use of TELEMAC-3D for assessing the effects of fresh water discharges on the salinity distribution in a coastal lagoon. The simulations have been performed with meshes ranging from 2 to 12 million elements, and good scaling performance is achieved on a variety of different computer architectures. (10.1016/j.compfluid.2011.07.003)
  DOI : 10.1016/j.compfluid.2011.07.003
• Multilayer Saint-Venant Equations over movable beds
  
  • Audusse Emmanuel
  • Benkhaldoun Fayssal
  • Sainte-Marie Jacques
  • Seaid M.
  Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2011, 15 (4), pp.917-934. We introduce a multilayer model to solve three-dimensional sediment transport by wind-driven shallow water flows. The proposed multilayer model avoids the expensive Navier-Stokes equations and captures stratified horizontal flow velocities. Forcing terms are included in the system to model momentum exchanges between the considered layers. The topography frictions are included in the bottom layer and the wind shear stresses are acting on the top layer. To model the bedload transport we consider an Exner equation for morphological evolution accounting for the velocity field on the bottom layer. The coupled equations form a system of conservation laws with source terms. As a numerical solver, we apply a kinetic scheme using the finite volume discretization. Preliminary numerical results are presented to demonstrate the performance of the proposed multilayer model and to confirm its capability to provide efficient simulations for sediment transport by wind-driven shallow water flows. Comparison between results obtained using the multilayer model and those obtained using the single-layer model are also presented. (10.3934/dcdsb.2011.15.917)
  DOI : 10.3934/dcdsb.2011.15.917