A Dispersive Approach to the Artificial Compressibility Approximations of the Navier Stokes Equations in 3-d Donatella Donatelli and Pierangelo Marcati

Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method

In this paper we study the Leray weak solutions of the incompressible Navier Stokes equation in an exterior domain.We describe, in particular, an hyperbolic version of the so called artificial compressibility method investigated by J.L.Lions and Temam. The convergence of these type of approximation show in general a lack of strong convergence due to the presence of acoustic waves. In this paper...

Incompressible Type Limit Analysis of a Hydrodynamic Model for Charge-Carrier Transport

Abstract. This paper is concerned with the rigorous analysis of the zero electron mass limit of the full Navier-Stokes-Poisson. This system has been introduced in the literature by Anile and Pennisi (see [5]) in order to describe a hydrodynamic model for charge-carrier transport in semiconductor devices. The purpose of this paper is to prove rigorously zero electron mass limit in the framework ...

Incompressible laminar flow computations by an upwind least-squares meshless method

In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...

Local and Global Existence for Thecoupled Navier - Stokes - Poisson Problemdonatella

Turbulent Flow over Cars

In this paper the flow behaviour over a number of car bodies is studied. For this purpose the unsteady 2-D incompressible Navier-Stokes equations have been applied. After averaging and nondimensionalizing the equations, the system of equations has been transformed from the Cartesian (x-y) coordinates to a body fitted generalized (-) coordinate. As the flow is incompressible, the density in the ...