SmoothCircleICLinearizedInterface

Circle with a smooth interface transformed using the linearized interface function

Overview

Figure 2: Initial condition for linearized interface variable from SmoothCircleICLinearizedInterface with bounds of

Figure 1: Initial condition for order parameter from SmoothCircleIC

This IC is for use with the linearized interface grain growth model. It converts the output from SmoothCircleIC from an order parameter for the traditional grain growth model (see Fig. 1) to the changed variable for linearized interface variable (see Fig. 2). It uses the function from Glasner (2001):

So, the equation for the initial condition of the transformed variables is

The initial condition also has to consider the bounds values, . When the function value of the order parameter initial condition is outside the bounds, the transformed variable value is equal to the bounds value. However, to make this evaluation, the bounds values have to be converted to order parameter values, such that:

  • For , .

  • For , .

Example Input File Syntax

The input file syntax for the IC is:

[phi0_IC]
  type = SmoothCircleICLinearizedInterface
  variable = phi0
  invalue = 1.0
  outvalue = 0.0
  bound_value = 5.0
  radius = 30
  int_width = 10
  x1 = 0.0
  y1 = 0.0
  profile = TANH
[]
(../moose/modules/phase_field/test/tests/grain_growth_w_linearized_interface/grain_growth_linearized_interface.i)

Input Parameters

  • bound_valueBound value used to keep variable between +/-bound. Must be positive.

    C++ Type:double

    Controllable:No

    Description:Bound value used to keep variable between +/-bound. Must be positive.

  • invalueThe variable value inside the circle

    C++ Type:double

    Controllable:No

    Description:The variable value inside the circle

  • outvalueThe variable value outside the circle

    C++ Type:double

    Controllable:No

    Description:The variable value outside the circle

  • radiusThe radius of a circle

    C++ Type:double

    Controllable:No

    Description:The radius of a circle

  • variableThe variable this initial condition is supposed to provide values for.

    C++ Type:VariableName

    Controllable:No

    Description:The variable this initial condition is supposed to provide values for.

  • x1The x coordinate of the circle center

    C++ Type:double

    Controllable:No

    Description:The x coordinate of the circle center

  • y1The y coordinate of the circle center

    C++ Type:double

    Controllable:No

    Description:The y coordinate of the circle center

Required Parameters

  • 3D_spheresTruein 3D, whether the objects are spheres or columns

    Default:True

    C++ Type:bool

    Controllable:No

    Description:in 3D, whether the objects are spheres or columns

  • blockThe list of blocks (ids or names) that this object will be applied

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

    Controllable:No

    Description:The list of blocks (ids or names) that this object will be applied

  • boundaryThe list of boundaries (ids or names) from the mesh where this object applies

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

    Controllable:No

    Description:The list of boundaries (ids or names) from the mesh where this object applies

  • int_width0The interfacial width of the void surface. Defaults to sharp interface

    Default:0

    C++ Type:double

    Controllable:No

    Description:The interfacial width of the void surface. Defaults to sharp interface

  • profileCOSFunctional dependence for the interface profile

    Default:COS

    C++ Type:MooseEnum

    Options:COS, TANH

    Controllable:No

    Description:Functional dependence for the interface profile

  • prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.

    C++ Type:MaterialPropertyName

    Controllable:No

    Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.

  • rand_seed12345Seed value for the random number generator

    Default:12345

    C++ Type:unsigned int

    Controllable:No

    Description:Seed value for the random number generator

  • z10The z coordinate of the circle center

    Default:0

    C++ Type:double

    Controllable:No

    Description:The z coordinate of the circle center

  • zero_gradientFalseSet the gradient DOFs to zero. This can avoid numerical problems with higher order shape functions and overlapping circles.

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Set the gradient DOFs to zero. This can avoid numerical problems with higher order shape functions and overlapping circles.

Optional 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.

  • ignore_uo_dependencyFalseWhen set to true, a UserObject retrieved by this IC will not be executed before the this IC

    Default:False

    C++ Type:bool

    Controllable:No

    Description:When set to true, a UserObject retrieved by this IC will not be executed before the this IC

Advanced Parameters

References

  1. Karl Glasner. Nonlinear preconditioning for diffuse interfaces. Journal of Computational Physics, 174(2):695–711, 2001.[BibTeX]