Extreme events in solutions of hydrostatic and non-hydrostatic climate models

Details Extreme events in solutions of hydrostatic and non-hydrostatic climate models Extreme events in solutions of hydrostatic and non-hydrostatic climate models

2009-01-31

arxiv.org/abs/0902.0066v3

Nonlinear Sciences

Chaotic Dynamics

A review dedicated to the memory of Robin Bullough.

Scientific paper

Initially this paper reviews the mathematical issues surrounding the hydrostatic (HPE) and non-hydrostatic (NPE) primitive equations that have been used extensively in numerical weather prediction and climate modelling. Cao and Titi (2005, 2007) have provided a new impetus to this by proving existence and uniqueness of solutions of viscous HPE on a cylinder with Neumann-like boundary conditions on the top and bottom. In contrast, the regularity of solutions of NPE remains an open question. With this HPE regularity result in mind, the second issue examined in this paper is whether extreme events are allowed to arise spontaneously in their solutions. Such events could include, for example, the sudden appearance and disappearance of locally intense fronts that do not involve deep convection. Analytical methods are used to show that for viscous HPE, the creation of small-scale structures is allowed locally in space and time at sizes that scale inversely with the Reynolds number.

Affiliated with

Also associated with

No associations

Rating

Extreme events in solutions of hydrostatic and non-hydrostatic climate models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extreme events in solutions of hydrostatic and non-hydrostatic climate models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extreme events in solutions of hydrostatic and non-hydrostatic climate models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663151