Advertisement

Navier-Stokes equations for incompressible fluids

  • Luca Formaggia
  • Fausto Saleri
  • Alessandro Veneziani
Part of the UNITEXT book series (UNITEXT)

Abstract

Incompressible fluid dynamics is a challenging topic, basically for the “saddle point” nature of the problem. Under certain assumptions, the velocity field that solves this problem is the minimum of an energy constrained by incompressibility. This makes this problem significantly different from elliptic problems (corresponding to free minimization). Pressure is the Lagrange multiplier associated with the incompressibility constraint. For this reason, the numerical solution may be in general expensive to compute and large efforts have been devoted to develop efficient solution schemes.

Keywords

Conjugate Gradient Conjugate Gradient Method Stokes Problem Cholesky Factorization Finite Dimensional Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Italia 2012

Authors and Affiliations

  • Luca Formaggia
    • 1
  • Fausto Saleri
    • 1
  • Alessandro Veneziani
    • 2
  1. 1.MOX — Dipartimento di Matematica “F. Brioschi”Politecnico di MilanoItaly
  2. 2.Department of Mathematics and Computer ScienceEmory UniversityAtlantaUSA

Personalised recommendations