Mathematical modelling of spatial spectra of atmospheric turbulence
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A. V. Glazunov
, V. P. Dymnikov und V. N. Lykossov
Abstract
Rayleigh–Bénard thermal convection in a doubly periodic channel with rigid walls is studied using the LES-model as an analogue of multiscale atmospheric turbulence from the viewpoint of reproduction of spectral properties. A large ratio of the horizontal size to the vertical one ensures the existence of quasi-two-dimensional large-scale flow components, and a computational grid of several tens of millions nodes allows us to reproduce explicitly the dynamics of the small-scale three-dimensional turbulent component. The decomposition of the turbulent flow into the barotropic and baroclinic components allows us to propose the transformation scheme for kinetic energy in the studied system, which explains some spectral properties of the observed atmospheric turbulence.
© de Gruyter 2010
Artikel in diesem Heft
- Preface
- Mathematical modelling of convective clouds taking into account phase transitions
- The model of the Earth system developed at the INM RAS
- Mathematical modelling of spatial spectra of atmospheric turbulence
- Optimal methods in problems of computational mathematics
- High resolution and four-dimensional analysis as a prospect for ocean modelling
- Matrices, continued fractions, and fast algorithms
Artikel in diesem Heft
- Preface
- Mathematical modelling of convective clouds taking into account phase transitions
- The model of the Earth system developed at the INM RAS
- Mathematical modelling of spatial spectra of atmospheric turbulence
- Optimal methods in problems of computational mathematics
- High resolution and four-dimensional analysis as a prospect for ocean modelling
- Matrices, continued fractions, and fast algorithms