Upwelling diffusion climate models: Analytical solutions for radiative and upwelling forcing

Journal Article · Sun May 20 00:00:00 EDT 1990 · Journal of Geophysical Research; (United States)

DOI:https://doi.org/10.1029/JD095iD06p07563· OSTI ID:5089144

Morantine, M; Watts, R G ^[1]

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1. Tulane Univ., New Orleans, LA (United States)

A globally averaged energy balance climate model with a deep ocean reduced to the one-dimensional case is used to study the transient thermal response characteristics of the system. Analytical solutions are presented for the upwelling diffusion and the box diffusion models for a general radiation forcing function in terms of a convolution integral. An exact solution for a step change in upwelling rate is presented, and an approximate solution for small variations in upwelling rate about some initial value is presented. Comparison between the exact and the approximate solutions indicates that the approximate transient response due to a time-dependent upwelling fluctuation is accurate for {vert bar}{Delta}w/w{sub 0}{vert bar} < 0.02. The transient thermal response of surface temperature due to radiation forcing of an upwelling diffusion model is found to be significantly more rapid than that of the box diffusion model.

• OSTI ID: 5089144
• Journal Information: Journal of Geophysical Research; (United States), Vol. 95:D6; ISSN 0148-0227
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
EARTH ATMOSPHERE
CLIMATE MODELS
ANALYTICAL SOLUTION
BOX MODELS
CLIMATIC CHANGE
DIFFUSION
ENERGY BALANCE
FLUCTUATIONS
FORCING FUNCTIONS
GLOBAL ASPECTS
ONE-DIMENSIONAL CALCULATIONS
RESPONSE FUNCTIONS
SEAS
SOLAR RADIATION
THERMODYNAMICS
TIME DEPENDENCE
TRANSIENTS
FUNCTIONS
MATHEMATICAL MODELS
RADIATIONS
STELLAR RADIATION
SURFACE WATERS
VARIATIONS
540110*