Fictitious domain method for atmosphere boundary layer model

Almas Temirbekov, Syrym E. Kasenov, Laura N. Temirbekova

2022

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DOI 10.1063/5.0115504
Data confidence 70 medium
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Abstract

In this paper, the fictitious domain method with continuation by lower coefficients for the model of the atmospheric boundary layer is mathematically substantiated. The theorem of existence and uniqueness of the solution of the auxiliary problem of the fictitious domain method for the equations of the boundary layer of the atmosphere is shown. The practical part is considered - the spread of harmful impurities in the atmosphere from point sources, taking into account the inhomogeneity of the underlying surface on the basis of the atmospheric boundary layer model.