Shape sensitivity analysis in flow models using a finite-difference approach.
Shock capturing and related numerical methods in computational fluid dynamics.
Similarity analysis for natural convection from a vertical plate with distributed wall concentration.
Simulation of incompressible flows with heat and mass transfer using parallel finite element method.
Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
This paper is concerned with the numerical simulation of a thermodynamically compatible viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological response of blood, under physiological conditions. Numerical simulations are performed in two idealized three-dimensional geometries, a stenosis and a curved vessel, to investigate the combined effects of flow inertia, viscosity and viscoelasticity in these geometries....
Singular perturbation problem for the incompressible Reynolds equation.
Singular Perturbations For Heart Image Segmentation Tracking
In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.
Smoothness properties of solutions to the nonlinear Stokes problem with nonautonomous potentials
We discuss regularity results concerning local minimizers of variational integrals like defined on energy classes of solenoidal fields. For the potential we assume a -elliptic growth condition. In the situation without -dependence it is known that minimizers are of class on an open subset of with full measure if (for we have ). In this article we extend this to the case of nonautonomous integrands. Of course our result extends to weak solutions of the corresponding nonlinear...
Sobre la aproximación numérica de un problema de control geométrico.
Solution of contaminant transport with adsorption in porous media by the method of characteristics
A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.
Solution of contaminant transport with adsorption in porous media by the method of characteristics
A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.
Solution of inverse problems in contaminant transport with adsorption
Solution of Stefan problems by fully discrete linear schemes.
Solution of the porous media equation by a compact finite difference method.
Solution of the system of differential equations related to Marangoni convections in one fluid layer.
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver.
Solutions of shallow-water equations in non-rectangular cross-section channels.
Solvability of the initial boundary-value problems for hyperbolic model of ideal incompressible liquid motion.
Solving the Vlasov equation in complex geometries
This paper introduces an isoparametric analysis to solve the Vlasov equation with a semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an axisymmetric configuration is considered. Numerical experiments are conducted on computational meshes targeting different geometries. The impact of the computational grid on the accuracy and the computational cost are shown. The use of analytical mapping or Bézier patches does not induce...
Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids