Spatial transport and spectral transfer of solar wind turbulence composed of Alfven waves and convective structures 1: The theoretical model

Details Spatial transport and spectral transfer of solar wind turbulence composed of Alfven waves and convective structures 1: The theoretical model Spatial transport and spectral transfer of solar wind turbulence composed of Alfven waves and convective structures 1: The theoretical model

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995angeo..13..459s&link_type=abstract

Annales Geophysicae (ISSN 0992-7689), vol. 13, no. 5, p. 459-474

Mathematics

Logic

9

Algebra, Magnetohydrodynamic Turbulence, Magnetohydrodynamic Waves, Solar Wind, Spectrum Analysis, Turbulence Models, Correlation, Fourier Transformation, Nonlinearity, Stress Tensors

Scientific paper

In this paper we give a survey of detailed algebraic developments of a solar wind turbulence model. The numerical solution of the coupled system of spectral transfer equations for turbulence composed of Alfven waves and convective structures or two-dimensional turbulence is prepared. The numerical turbulence model which is elaborated in detail in this paper is based on a rotationally symmetric solar wind model for the background magnetic and flow velocity fields with the full geometry of Parker's spiral which has to be inserted into the transfer equations. Various sources and sinks for turbulent energy are included and appropriately modeled analytically. Spherical expansion terms related to radial gradients of the background velocity fields are considered as far as possible within a rotational symmetric solar wind model, which excludes vorticity effects. Furthermore, nonlinear interaction terms are considered, justified by phenomenological arguments and evaluated by dimensional analysis. A summary is given of the main ideas and the special approximations used for the parametric conversion terms, together with details on the basic steps of the algebraic calculations. The decription of the numerical scheme and a survey of the numerical results of our model, as well as a discussion of the main physical results are contained in a companion paper.

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