A cusp-like free-surface flow caused by a source/sink in a channel of finite depth.
A high-precision algorithm for axisymmetric flow.
A numerical study of non-cavitating and cavitating liquid flow around a hydrofoil
The results of a workshop concerning the numerical simulation of the liquid flow around a hydrofoil in non-cavitating and cavitating conditions are presented. This workshop was part of the conference “Mathematical and Numerical aspects of Low Mach Number Flows” (2004) and was aimed to investigate the capabilities of different compressible flow solvers for the low Mach number regime and for flows in which incompressible and supersonic regions are simultaneously present. Different physical models...
A numerical study of non-cavitating and cavitating liquid flow around a hydrofoil
The results of a workshop concerning the numerical simulation of the liquid flow around a hydrofoil in non-cavitating and cavitating conditions are presented. This workshop was part of the conference “Mathematical and Numerical aspects of Low Mach Number Flows” (2004) and was aimed to investigate the capabilities of different compressible flow solvers for the low Mach number regime and for flows in which incompressible and supersonic regions are simultaneously present. Different physical models...
Abrupt and smooth separation of free boundaries in flow problems
Boundary element method for internal axisymmetric flow.
Central-upwind schemes for the Saint-Venant system
We present one- and two-dimensional central-upwind schemes for approximating solutions of the Saint-Venant system with source terms due to bottom topography. The Saint-Venant system has steady-state solutions in which nonzero flux gradients are exactly balanced by the source terms. It is a challenging problem to preserve this delicate balance with numerical schemes. Small perturbations of these states are also very difficult to compute. Our approach is based on extending semi-discrete central schemes...
Central-Upwind Schemes for the Saint-Venant System
We present one- and two-dimensional central-upwind schemes for approximating solutions of the Saint-Venant system with source terms due to bottom topography. The Saint-Venant system has steady-state solutions in which nonzero flux gradients are exactly balanced by the source terms. It is a challenging problem to preserve this delicate balance with numerical schemes. Small perturbations of these states are also very difficult to compute. Our approach is based on extending semi-discrete central...
Existence et régularité de la fonction potentiel pour des écoulements subcritiques s'établissant autour d'un corps à singularité conique
Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow
Finite element solution of flows through cascades of profiles in a layer of variable thickness
The paper is devoted to the numerical modelling of a subsonic irrotational nonviscous flow past a cascade of profiles in a variable thickness fluid layer. It leads to a nonlinear two-dimensional elliptic problem with nonstandard nonhomogeneous boundary conditions. The problem is discretized by the finite element method. Both theoretical and practical questions of the finite element implementation are studied; convergence of the method, numerical integration, iterative methods for the solution of...
Free boundary problems in fluid dynamics
Global boundary controllability of the Saint-Venant system for sloped canals with friction
Harmonic parametrization of geodesic quadrangles on surfaces of constant curvature and 2-D quasi-isometric grids.
Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction.
Integral equations of the linear sloshing in an infinite chute and their discretization.
Inverse shape optimization problems and application to airfoils
Jet flows with gravity.
Mathematical study of rotational incompressible non-viscous flows through multiply connected domains
The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate applications...
Multigrid Methods for Boundary Integral Equations.