Fig. 3

Difference rate for all orders and degrees of the gravitational harmonics coefficients that are involved in our POD simulations. Panels a and b: present the case marked by m0 = 2, belonging to the strong-field dynamo category, and the case marked by m0 = 9, belonging to the weak-field dynamo category, respectively. In either panel, the left part plots the different rate of
coefficients, and the right part plots the rate of
. The zeroth-order
coefficients are in essence the zonal harmonics coefficients
. In the case shown in panel a, the input gravitational harmonics coefficients are all null, except for nonzero zonal coefficients of all degrees and nonzero
. In the other case of panel b, the modeled nonzero tesseral and sectoral coefficients become
. The difference rate only applies to coefficients that are assumed to be nonzero, as highlighted in all panels by boxes with dashed black edges.
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