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 where the unknown is the function u (x, t). The flux...
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
Non-linear case
Order 2 extension
Article included in this offer
"Mathematics"
(
166 articles
)
Updated and enriched with articles validated by our scientific committees
A set of exclusive tools to complement the resources
Bibliography
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
