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Volumn 93, Issue 9, 2004, Pages

Ecosystem engineers: From pattern formation to habitat creation

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; BIOMASS; DENSITY OF LIQUIDS; ENVIRONMENTAL IMPACT; GROWTH KINETICS; INFILTRATION; INTEGRATION; MARINE BIOLOGY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SOILS; SURFACE WATERS; VEGETATION;

EID: 19544365258     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.098105     Document Type: Article
Times cited : (331)

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    • note
    • Shallow-water theory is based on the assumption of a thin layer of water. In dimensional units the fluid equations can be written as ∂h/∂t + ∇ · uh = p - I and Du/Dt = - g∇h + F(u, h) where D/Dt is the total (Lagrangian) derivative, g is the acceleration of gravity, u is the fluid velocity, F(u, h) is a phenomenological term representing bottom friction, and the other quantities have already been defined in the text The equation for h can be obtained from the shallow-water equations by discarding the fluid acceleration (Du/Dt = 0) and assuming a Rayleigh friction term F(u, h) = -Ku. The parameters K and g have been scaled out from the equation for h by rescaling the spatial coordinates.


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