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docs:classes:flowfield

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====== FlowField ====== The %%FlowField%% class represents vector-valued fields of the form <latex> {\bf u}({\bf x}) &= \sum_{k_x,k_y,k_z,j} \hat{u}_{k_x k_y k_z j}\bar{T}_{n_y}(y) \; e^{2 \pi i (k_x x/L_x + k_z z/L_z)} {\bf e}_j </latex> and also scalar and tensor fields with appropriate changes in the dimensionality of the coefficients. The barred %%T%% function is a Chebyshev polynomial scaled to fit the domain y ∈ [a,b]. <latex> \bar{T}_{k_y}(y) = T_{k_y}\left(y'), y' = \frac{2){b-a}\left(y- \frac{b+a}{2}\right) </latex>

docs/classes/flowfield.1234808975.txt.gz · Last modified: 2009/02/16 10:29 by gibson