Complex turbulent exchange coefficient in Akerblom–Ekman model
-
Philipp L. Bykov
and
Vladimir A. Gordin
Abstract
The turbulent exchange in boundary layer models is usually characterized by a scalar eddy viscosity coefficient assumed to be a positive function of the vertical variable. We introduce a more general form for the turbulence exchange description, which includes two functions that describe the turbulence without any assumption about their positivity. We construct a model of the Akerblom–Ekman type, but with a complex coefficient of turbulent exchange. The basic quality criterion for these models and algorithms is the maximal agreement with meteorological observations. We optimize the agreement between the global meteorological archive of high-resolution wind observations that are provided by World Meteorological Organization (WMO) in Binary Universal Form for the Representation (BUFR). The main result of our work is that agreement between model solutions and observations will be much better if the turbulent exchange coefficient is optimized in the space of all complex-valued functions, and not limited to the cone of real positive functions.
Funding statement: This article was prepared within the framework of the Academic Fund Program at the National Research University Higher School of Economics (HSE) in 2020–2021 (grant 20-04-021) and by the Russian Academic´Excellence Project 5-100.
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Articles in the same Issue
- Frontmatter
- The inverse scattering problem for an inhomogeneous two-layered cavity
- Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set
- Complex turbulent exchange coefficient in Akerblom–Ekman model
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- Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method
- Determination of unknown shear force in transverse dynamic force microscopy from measured final data
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- On the mean field games system with lateral Cauchy data via Carleman estimates
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Articles in the same Issue
- Frontmatter
- The inverse scattering problem for an inhomogeneous two-layered cavity
- Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set
- Complex turbulent exchange coefficient in Akerblom–Ekman model
- On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method
- Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method
- Determination of unknown shear force in transverse dynamic force microscopy from measured final data
- Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation
- On the mean field games system with lateral Cauchy data via Carleman estimates
- Artificial intelligence for COVID-19 spread modeling
