Axially symmetric steady motion of a viscous incompressible fluid: some numerical experiments

Mathematical models of turbulent motion of an incompressible viscous fluid

Motion of an Elastic Solid inside an Incompressible Viscous Fluid

The motion of an elastic solid inside an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of regularity which has left the basic question of existence open until now. In this paper, we prove the existence and uniqueness of such motions (locally in time), whe...

Numerical Methods for Viscous Incompressible Flows: Some Recent Advances

Numerical analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid

We present and analyze a penalization method wich extends the the method of [2] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface captured by a level set method. The solid velocity is computed by averaging at avery time the flow velocity in the solid phase. This velocity is used to penalize ...

On the Numerical Solution of a Viscous Incompressible Electrically Conducting Fluid Flow over a Stretching Sheet

A numerical solution is carried out in this paper in order to study the steady laminar flow of a Newtonian electrically conducting fluid over a stretching sheet. The approach to this numerical solution is based on the idea of stretching the variables of the flow problem. Thereafter, we use the least squares method to minimize the residual of the “defect function”. Subsequently, this approximate...