Approximation of Flow Measurements in Dynamo Experiment Water Model
2008
Guntis Lipsbergs

This paper briefly describes main results of flow measurements in water model intended for verification of dynamo experiment’s hydrodynamic part. Measurements are compared with calculation results done by other author. Using flow continuity equation, unknown vertical component of the meridional flow is numerically estimated from measurement results. For the purpose of further magnetohydrodynamic simulation, approximation of the calculation data is done in the cylindrical coordinates via stream function. This function is assumed to be a n-degree polynomial of two variables. Inadequacy of this type of approximation due to ill-conditioning is shown. Coefficients of 5th degree (which appears to be an optimal value in this case) polynomial are given. Other method, approximation of velocity components in spherical coordinates from polar angle at given radius is presented to be more reasonable. Orthogonal Legendre polynomials are used and coefficients for 10th degree are calculated.


Keywords
plūsmas mērījumi, aproksimācija, skaitliskās metodes

Lipsbergs, G. Approximation of Flow Measurements in Dynamo Experiment Water Model. Mechanics. Vol.28, 2008, pp.107-114. ISSN 1407-8015.

Publication language
Latvian (lv)
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