desc.basis.FourierSeries.evaluate

FourierSeries.evaluate(grid, derivatives=array([0, 0, 0]), modes=None)Source

Evaluate basis functions at specified nodes.

Parameters:

  • grid (Grid or ndarray of float, size(num_nodes,3)) – Node coordinates, in (rho,theta,zeta).

  • derivatives (ndarray of int, shape(num_derivatives,3)) – Order of derivatives to compute in (rho,theta,zeta).

  • modes (ndarray of in, shape(num_modes,3), optional) – Basis modes to evaluate (if None, full basis is used).

Returns:

y (ndarray, shape(num_nodes,num_modes)) – Basis functions evaluated at nodes. The Vandermonde matrix when modes is None is given by y.reshape(-1,2*N+1) and is ordered [sin(N𝛇), …, sin(𝛇), 1, cos(𝛇), …, cos(N𝛇)].