pyrc.validation.coupling.analytic#

class ModelCoupling(blocks: list[Block])#

Bases: Model

Initialize heat equation model with blocks.

Parameters:: blocks (list of Block) – List of Block objects defining initial conditions

__init__(blocks: list[Block])#

Initialize heat equation model with blocks.

Parameters:: blocks (list of Block) – List of Block objects defining initial conditions

get_function(n_terms=60)#

Returns function u(x,t) for 1D heat equation with adiabatic boundaries.

Parameters:: n_terms (int) – Number of Fourier series terms
Returns:: Function u(x, t) that returns temperature for given positions x and times t. The function returns a value, vector or matrix. Same x values are in rows, same t values are in columns. (x, t)
Return type:: callable

get_function_new(n_terms=100)#

Returns function u(x,t) for 1D heat equation with adiabatic boundaries.

Parameters:: n_terms (int) – Number of Fourier series terms
Returns:: Function u(x, t) that returns temperature for given positions x and times t. The function returns a value, vector or matrix. Same x values are in rows, same t values are in columns. (x, t)
Return type:: callable