CrankNicolson

Crank-Nicolson time integrator.

The Crank Nicolson time integration scheme is a second-order implicit method. It is unconditionally stable.

Description

With , the vector of nonlinear variables, and , a nonlinear operator, we write the PDE of interest as:

Using for the current time step, and for the previous step, the Crank Nicolson time integration scheme can be written:

This method can be expressed as a Runge-Kutta method with the following Butcher Tableau:

Input Parameters

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

    C++ Type:std::vector<std::string>

    Controllable:No

    Description:Adds user-defined labels for accessing object parameters via control logic.

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Set the enabled status of the MooseObject.