Article | REF: AF1404 V1

Numerical Solution of the Navier-Stokes Equations by the Finite Difference Method

Author: Pierre SPITERI

Publication date: December 10, 2022

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


Français

2. Formulation of incompressible Navier-Stokes equations in terms of current-vorticity (current-vortex)

In the previous sections, we saw the formulation of the Navier-Stokes equations in velocity-pressure form. This formulation complicates the resolution of the equations because of the constraint div(U)=0 which translates the conservation of mass. In this section, we will transform the Navier-Stokes equations into a form that no longer includes this constraint. Such a formulation is made possible by the introduction of vorticity using the vortex vector ω defined by :

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Formulation of incompressible Navier-Stokes equations in terms of current-vorticity (current-vortex)