Characterization and multiscale modeling of liquid crystalline materials and their biological analogues.
Characterization of the speed of a two-phase interface in a porous medium.
Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation
Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain
C-N difference schemes for dissipative symmetric regularized long wave equations with damping term.
Combined finite element -- finite volume method (convergence analysis)
We present an efficient numerical method for solving viscous compressible fluid flows. The basic idea is to combine finite volume and finite element methods in an appropriate way. Thus nonlinear convective terms are discretized by the finite volume method over a finite volume mesh dual to a triangular grid. Diffusion terms are discretized by the conforming piecewise linear finite element method. In the paper we study theoretical properties of this scheme for the scalar nonlinear convection-diffusion...
Comparative analysis of power-law fin-type problems using variational iteration method and finite element method.
Comparison and analysis of some numerical schemes for stiff complex chemistry problems
Comparison between different numerical discretizations for a Darcy-Forchheimer model.
Comparison of active control techniques over a dihedral plane
This work is devoted to the numerical comparison of four active control techniques in order to increase the pressure recovery generated by the deceleration of a slightly compressible viscous flow over a dihedral plane. It is performed by the use of vortex generator jets and intrusive sensors. The governing equations, the two-dimensional direct numerical simulation code and the flow configuration are first briefly recalled. Then, the objective of the control is carefully displayed, and the uncontrolled...
Comparison of active control techniques over a dihedral plane
This work is devoted to the numerical comparison of four active control techniques in order to increase the pressure recovery generated by the deceleration of a slightly compressible viscous flow over a dihedral plane. It is performed by the use of vortex generator jets and intrusive sensors. The governing equations, the two-dimensional direct numerical simulation code and the flow configuration are first briefly recalled. Then, the objective of the control is carefully displayed, and the uncontrolled...
Compressible two-phase flows by central and upwind schemes
This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.
Compressible two-phase flows by central and upwind schemes
This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.
Computation of equilibrium foam structures using the surface evolver.
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Computer implementation of a coupled boundary and finite element methods for the steady exterior Oseen problem.
COMSOL modelling for a water infiltration problem in an unsaturated medium.
Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov
Conforming equilibrium finite element methods for some elliptic plane problems
Conforming finite element approximation of the Stokes problem