hysop.operator.base.diffusion module¶

class hysop.operator.base.diffusion.DiffusionOperatorBase(Fin, Fout, variables, nu, dt, name=None, pretty_name=None, **kwds)[source]¶

Common base for spectral diffusion operator.

Diffusion operator base.

Parameters:

Fin (Field) – The input field to be diffused.
Fout (Field) – The output field to be diffused.
variables (dictionary of fields:topology) – The choosed discretizations.
nu (ScalarParameter.) – Diffusion coefficient.
dt (ScalarParameter) – Timestep parameter that will be used for time integration.
kargs – Base class parameters.
Notes –

*Equations:
dF/dt = nu*Laplacian(F) in = Win out = Wout

*Implicit resolution in spectral space:
F_hat(tn+1) = 1/(1-nu*dt*sum(Ki**2)) * F_hat(tn)

HySoP