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Estimating Heat Sources And Fluxes In Thermally Stratified Canopy Flows Using Higher-Order Closure Models
Authors:Mario Siqueira  Gabriel Katul
Institution:(1) Nicholas School of the Environment and Earth Sciences, Duke University, Durham, Box 90328, North Carolina, 27708-0328;(2) Civil and Environmental Engineering, Duke University, Durham, North Carolina, U.S.A.;(3) Civil and Environmental Engineering, Duke University, Durham, North Carolina, U.S.A
Abstract:Over the past two decades, several inverse methods have been proposed to estimatescalar source and sink strengths from measured mean concentration profiles withinthe canopy volume (hereafter termed the `inverse' problem). These inverse methodscommonly assumed neutral atmospheric stability conditions for the entire canopyvolume. For non-neutral conditions, atmospheric stability corrections in inverseschemes were limited to adjusting the integral time scale or other flow statistics tomatch well-established surface-layer similarity relations above the canopy. Suchstability corrections do not explicitly consider the local stability effects within thecanopy volume. Currently, there is no satisfactory inverse scheme that explicitlyaccounts for local atmospheric stability for canopy turbulence. A Eulerian inversemethod that explicitly accounts for local atmospheric stability within the canopy isdeveloped using second-order closure principles. Field testing the method is conductedusing temperature measurements from two field experiments collected in an even-ageduniform loblolly pine forest. It is demonstrated that by accounting for local atmospheric stability in the inversion scheme, the agreement between modelled sensible heat flux calculations and measurements improve by 60% for stable conditions, 10% for near-neutral conditions and 20% for unstable conditions
Keywords:Canopy scalar source/sink  Canopy scalar transport  Inverse problem  Stability effects
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