We present an overview of the most common numerical solution strategies for the incompressible Navier–Stokes equations, including fully implicit formulations, artificial compressibility methods, penalty formulations, and operator splitting methods (pressure/velocity correction, projection methods). A unified framework that explains popular operator splitting methods as special cases of a fully ...

This paper concerns preconditioned iterative solution methods for solving incompressible non-Newtonian Navier-Stokes equations as arising in regularized Bingham models. Stable finite element discretization applied to the linearized equations results in linear systems of saddle point form. In order to circumvent the difficulties of efficiently and cheaply preconditioning the Schur complement of ...

We propose in this paper a new formulation of optical flow dedicated to 2D incompressible turbulent flows. It consists in minimizing an objective function constituted by an observation term and a regularization one. The observation term is based on the transport equation of the passive scalar field. For non-fully resolved scalar images, we propose to use the Mixed model in Large Eddy Simulation...

Abstract In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as independence average volume on pressure, and weighted sum partial densities stays constant. type models, velocity field Navier–Stokes equations not solenoidal and, due different specific volumes species, pressure remains con...

The animation of fluids is a topic of great interest in the computer animation community. The common familiarity with real-world fluid motion and the difficulty in achieving this motion combines to make the problem exceptionally challenging — everyone knows what fluid should look like, but animating it convincingly by hand is difficult. To achieve realistic fluid motion, researchers have been g...