1. Home
  2. Fundamental sciences
  3. Mathematics
  4. Finite volumes numerical schemes

  5. Non-linear case

Article | REF: AF508 V1

Finite volumes numerical schemes

Authors: Bruno DESPRES, Nicolas SEGUIN

Publication date: April 10, 2012

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

Already subscribed? Log in!

Français

3. Non-linear case

Finite volume methods were initially invented for the discretization of nonlinear equations, as the respect of conservation and stability principles is extremely important. We begin by describing the case of the Burgers equation, which is the model problem for all nonlinear equations, and then move on to compressible fluid dynamics.

3.1 Burgers equation

The Burgers equation is written as ∂t u+∂xu22=0 where the unknown is the function u (x, t). The flux...

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
Non-linear case
Outline