Sur le principe variationnel des équations de la mécanique des fluides parfaits
Sur l’équation de Prandtl
L’objet de cette note est le problème de Cauchy pour l’équation de Prandtl, dans des espaces de régularité Sobolev. Nous discutons de façon synthétique des résultats récents [4], établissant le caractère fortement linéairement mal posé de ce problème.
Sur un algorithme en volumes finis non structurés pour la simulation des flammes turbulentes en chimie infiniment rapide
Symmetries and solutions to equations of two-dimensional motions of polytropic gas.
Symmetry group analysis and invariant solutions of hydrodynamic-type systems.
Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model
We construct a Roe-type numerical scheme for approximating the solutions of a drift-flux two-phase flow model. The model incorporates a set of highly complex closure laws, and the fluxes are generally not algebraic functions of the conserved variables. Hence, the classical approach of constructing a Roe solver by means of parameter vectors is unfeasible. Alternative approaches for analytically constructing the Roe solver are discussed, and a formulation of the Roe solver valid for general closure...
The approximation of the pressure by a mixed method in the simulation of miscible displacement
The blocking of an inhomogeneous Bingham fluid. Applications to landslides
This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation...
The blocking of an inhomogeneous Bingham fluid. Applications to landslides
This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation...
The boundary element method with linear boundary elements for the Stokes flow.
The dual integral equation method in hydromechanical systems.
The effects of nonuniform surface tension on the axisymmetric gravity-driven spreading of a thin liquid drop.
The effects of structure defects on the performance of a micro comb resonator.
The finite volume method for an elliptic-parabolic equation.
The flow of a non-Newtonian fluid induced due to the oscillations of a porous plate.
The Gauss center research in multiscale scientific computation.
The generalized finite volume SUSHI scheme for the discretization of the peaceman model
We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later,...
The hierarchical SPH-method for mathematical simulation in gravitational gas dynamics.
The initial-boundary value problem with a free surface condition for the -approximations of the Navier-Stokes equations and some their regularizations