Jacques Périaux

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In this article we discuss the application of a Lagrange multiplier based ®ctitious domain method to the numerical simulation of incompressible viscous ̄ow modeled by the Navier±Stokes equations around moving rigid bodies; the rigid body motion is due to hydrodynamical forces and gravity. The solution method combines ®nite element approximations, time(More)
The main goal of this article, which generalizes [4] considerably, is to discuss the numerical simulation of particulate flow for mixtures of incompressible viscous fluids and rigid particles. Such flow occurs in liquid/solid fluidized beds, sedimentation, and other applications in Science and Engineering. Assuming that the number of particles is(More)
This cirticle presents both the theoretical basis and some experimental results on Hierarchical Genetic Algorithms (HGAs). HGAs are explained in details, along with the advantages conferred by their multi-layered hierarchical topology. This topology is an excellent compromise to the classical exploration/exploitation dilemma. Another feature is the(More)
There is an increment of complexity in aerospace design due to new technologies. Research in MultiObjective (MO) and Multidisciplinary Design Optimization (MDO) therefore faces the need for developing robust and efficient optimization methods and produce higher quality designs without paying expensive computational cost [1]. The recent optimization problems(More)
Asynchronous Parallel Evolutionary Algorithms (HAPEAs) have shown to be robust as they require no derivatives or gradients of the objective function, have the capability of finding globally optimum solutions amongst many local optima, can be executed asynchronously in parallel and adapted easily to arbitrary solver codes without major modifications. The(More)
Adapted hybrid prismatic-tetrahedral grid about a hemisphere. (b) Surface Mach contours on the symmetry plane for supersonic laminar ow (M 1 = 1:4, Re = 1000) 128]. 37 Figure 8. Comparison of various discretization methods for the circular advection problem 13]. (a) Grid used for the two-dimensional advection equation. (b) Piecewise-constant nite-volume(More)
We combine the controllability and fictitious domain methods to compute time-periodic solution for a wave equation describing scattering by an obstacle. The fictitious domain method uses distributed Lagrange multipliers to satisfy the Dirichlet boundary condition on the scatterer. The controllability technique leads to an optimization problem which we solve(More)
This article is concerned with the numerical solution of multiobjective control problems associated with linear partial differential equations. More precisely, for such problems, we look for the Nash equilibrium, which is the solution to a noncooperative game. First, we study the continuous case. Then, to compute the solution of the problem, we combine(More)