Source code for opentidalfarm.problems.multi_steady_sw

from .problem import Problem
from .steady_sw import SteadySWProblemParameters
from .steady_sw import SteadySWProblem
from dolfin_adjoint import Constant


[docs]class MultiSteadySWProblemParameters(SteadySWProblemParameters): """ A set of parameters for a :class:`MultiSteadySWProblem`. The parameters are as described in :class:`opentidalfarm.problems.steady_sw.SteadySWProblemParameters`. In addition following parameters are available: Temporal parameters: :ivar dt: The timestep. Default: 1.0. :ivar start_time: The start time. Default: 0.0. :ivar finish_time: The finish time. Default: 100.0. """ # Time parameters dt = 1. start_time = 0.0 finish_time = 100.0 # Functional time integration parameters functional_final_time_only = False
[docs]class MultiSteadySWProblem(SteadySWProblem): r""" Create a shallow water problem consisting of a sequence of (independent) steady-state shallow water problems. More specifically, it solves for each time-level :math:`n`: .. math:: -\nabla\cdot\nu\nabla u^n+u^n\cdot\nabla u^n+g\nabla \eta^n + \frac{c_b + c_t}{H^n} \| u^n\| u^n &= f_u^n, \\ \nabla \cdot \left( H^n u^n \right) &= 0, where - :math:`u` is the velocity, - :math:`\eta` is the free-surface displacement, - :math:`H=\eta + h` is the total water depth where :math:`h` is the water depth at rest, - :math:`f_u` is the velocity forcing term, - :math:`c_b` is the (quadratic) natural bottom friction coefficient, - :math:`c_t` is the (quadratic) friction coefficient due to the turbine farm, - :math:`\nu` is the viscosity coefficient, - :math:`g` is the gravitational constant, :parameter parameters: A :class:`MultiSteadySWProblemParameters` object containing the parameters of the problem. """ def __init__(self, parameters): if not type(parameters) == MultiSteadySWProblemParameters: raise TypeError("parameters must be of type \ MultiSteadySWProblemParameters.") if float(parameters.start_time) >= float(parameters.finish_time): raise ValueError("start_time must be < finish_time.") super(MultiSteadySWProblem, \ self).__init_without_type_check__(parameters) @property def _is_transient(self): return True
[docs] @staticmethod def default_parameters(): ''' Returns a dictionary with the default parameters ''' return MultiSteadySWProblemParameters()