Abstract We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We assume that is such that in an arbitrarily small neighborhood of the free boundary, and we use the Lagrangian approach to derive an a priori estimate that can be used to prove local-in-time existence and uniqueness of solutions under the Rayleigh–Taylor stability condition.
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Deciphering the sensitivity of urban canopy air temperature to anthropogenic heat flux with a forcing-feedback framework
Abstract The sensitivity of urban canopy air temperature ( ) to anthropogenic heat flux ( ) is known to vary with space and time, but the key factors controlling such spatiotemporal variabilities remain elusive. To quantify the contributions of different physical processes to the magnitude and variability of (where represents a change), we develop a forcing-feedback framework based on the energy budget of air within the urban canopy layer and apply it to diagnosing simulated by the Community Land Model Urban over the contiguous United States (CONUS). In summer, the median is around 0.01 over the CONUS. Besides the direct effect of on , there are important feedbacks through changes in the surface temperature, the atmosphere–canopy air heat conductance ( ), and the surface–canopy air heat conductance. The positive and negative feedbacks nearly cancel each other out and is mostly controlled by the direct effect in summer. In winter, becomes stronger, with the median value increased by about 20% due to weakened negative feedback associated with . The spatial and temporal (both seasonal and diurnal) variability of as well as the nonlinear response of to are strongly related to the variability of , highlighting the importance of correctly parameterizing convective heat transfer in urban canopy models.
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- Award ID(s):
- 1854706
- PAR ID:
- 10514012
- Publisher / Repository:
- IOP
- Date Published:
- Journal Name:
- Environmental Research Letters
- Volume:
- 18
- Issue:
- 9
- ISSN:
- 1748-9326
- Page Range / eLocation ID:
- 094005
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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