Boundary conditions: Difference between revisions
From Glossary of Meteorology
imported>Perlwikibot (Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == boundary conditions == </div> <div class="definition"><div class="short_definition">A set o...") |
imported>Perlwikibot No edit summary |
||
| Line 9: | Line 9: | ||
</div> | </div> | ||
<div class="definition"><div class="short_definition">A set of mathematical conditions to be satisfied, in the solution of a differential equation, at the edges or physical boundaries (including fluid boundaries) of the region in which the solution is sought.</div><br/> <div class="paragraph">The nature of these conditions is usually determined by the physical nature of the problem, and is a necessary part of the problem's complete formulation. Common boundary conditions for the [[atmosphere]] are that the [[velocity]] component normal to the earth's surface vanish, and that the [[individual derivative]] of [[pressure]] vanish at the upper surface. The term is also used in the context of the time evolution of an | <div class="definition"><div class="short_definition">A set of mathematical conditions to be satisfied, in the solution of a differential equation, at the edges or physical boundaries (including fluid boundaries) of the region in which the solution is sought.</div><br/> <div class="paragraph">The nature of these conditions is usually determined by the physical nature of the problem, and is a necessary part of the problem's complete formulation. Common boundary conditions for the [[atmosphere]] are that the [[velocity]] component normal to the earth's surface vanish, and that the [[individual derivative]] of [[pressure]] vanish at the upper surface. The term is also used in the context of the time evolution of an "open" [[dynamical system]] that interacts with other "external" systems. The state of the external systems must be specified as a boundary condition to infer the evolution of the dynamical system under consideration. For example, the evolution of the earth's atmospheric state requires the [[specification]] of [[sea surface temperature]] as a boundary condition. <br/>''See'' [[kinematic boundary condition]], [[dynamic boundary condition]], [[boundary-value problem]], [[initial condition]].</div><br/> </div> | ||
</div> | </div> | ||
Revision as of 13:45, 20 February 2012
boundary conditions
A set of mathematical conditions to be satisfied, in the solution of a differential equation, at the edges or physical boundaries (including fluid boundaries) of the region in which the solution is sought.
The nature of these conditions is usually determined by the physical nature of the problem, and is a necessary part of the problem's complete formulation. Common boundary conditions for the atmosphere are that the velocity component normal to the earth's surface vanish, and that the individual derivative of pressure vanish at the upper surface. The term is also used in the context of the time evolution of an "open" dynamical system that interacts with other "external" systems. The state of the external systems must be specified as a boundary condition to infer the evolution of the dynamical system under consideration. For example, the evolution of the earth's atmospheric state requires the specification of sea surface temperature as a boundary condition.
See kinematic boundary condition, dynamic boundary condition, boundary-value problem, initial condition.
See kinematic boundary condition, dynamic boundary condition, boundary-value problem, initial condition.
