Numerical methods in fluid mechanics: Difference between revisions

Content deleted Content added
Line 1:
==Introduction==
[[Fluid motion]] is governed by the [[Navier-Stokes equations]], a set of coupled and nonlinear
partial differential equations derived from the basic laws of conservation of [[mass]], [[momentum]]
and [[energy]]. The unknowns are usually the [[velocity]], the [[pressure]] and [[density]] and [[temperature]]. The [[analytical solution]] of this equation is impossible hence scientists resort to laboratory experiments in such situations. The answers delivered are, however, usually qualitatively different since dynamical and geometric similitude are difficult to enforce simultaneously between the lab experiment and the [[prototype]]. Furthermore, the design and construction of these experiments can be difficult (and costly), particularly for stratified rotating flows. [[Computational fluid dynamics]] ([[CFD]]) is an additional tool in the arsenal of scientists. In its early days CFD was often controversial, as it involved additional approximation to the governing equations and raised additional (legitimate) issues. Nowadays CFD is an established discipline alongside theoretical and experimental methods. This position is in large part due to the exponential growth of computer power which has allowed us to tackle ever larger and more complex problems.
 
==Discretization==