A comparison of finite element schemes for the incompressible Navier–Stokes equations

Abstract

Numerical algorithms for the computation of fluid flow have been an active area of research for 12062 several decades and still remain an important field to study. As a result, there exists a large literature 12063 on discretization schemes for the incompressible Navier–Stokes equations, and it can be hard to 12064 judge which method works best for any particular problem. Furthermore, since the development of 12065 any particular discretization scheme is often a long process and tied to a specific implementation, 12066 comparisons of different methods are seldom made.