conatus.expert.BallBasis

class conatus.expert.BallBasis(coord, size, radius=1.0, dealias=REQUIRED)

Bases: _SphericalRadial

Full ball 0 <= r <= R, regular at the centre (Vasil et al. 2019, Lecoanet et al. 2019): the regularity component sigma of degree l is rho^k Q_n^(a, k + 1/2)(2 rho^2 - 1), k = l + sigma, n < size - floor(l/2) (Dedalus’s BallBasis truncation), a = derivative level (0 for fields). Gauss-Jacobi (0, 1/2) radial grid in z = 2 rho^2 - 1.

Parameters:

• coord (Coordinate)

• size (int)

• radius (float)

• dealias (Any)

family = 'ball radial (regular 3D Zernike: rho^k P_n^(a, k+1/2)(2 rho^2 - 1))'

property radius: float

coeff_space()

Return type:

str