Shape sensitivity analysis in flow models using a finite-difference approach.
Shock capturing and related numerical methods in computational fluid dynamics.
Solution of the porous media equation by a compact finite difference method.
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver.
Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates
The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived.
Stability and Convergence of the Difference Schemes for Equations of Isentropic Gas Dynamics in Lagrangian Coordinates
Stagnation-point flow of the Walters' fluid with slip.
Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques