Add Fig. 3,6,7,8 inputs (idaholab#14823)

modules/combined/examples/publications/rapid_dev/fig3.i

@@ -0,0 +1,132 @@
+#
+# Fig. 3 input for 10.1016/j.commatsci.2017.02.017
+# D. Schwen et al./Computational Materials Science 132 (2017) 36-45
+# Comparison of an analytical (ca) and numerical (c) phase field interface
+# profile. Supply the L parameter on the command line to gather the data for
+# the inset plot.
+#
+
+[Mesh]
+  type = GeneratedMesh
+  dim = 1
+  nx = ${L}
+  xmin = -30
+  xmax = 30
+[]
+
+[Functions]
+  [./solution]
+    type = ParsedFunction
+    value = 0.5*(1+tanh(x/2^0.5))
+  [../]
+[]
+
+[Variables]
+  [./c]
+    [./InitialCondition]
+      type = FunctionIC
+      function = solution
+      #type = FunctionIC
+      #function = if(x>0,1,0)
+    [../]
+  [../]
+  [./w]
+  [../]
+[]
+
+[AuxVariables]
+  [./diff]
+  [../]
+  [./ca]
+    [./InitialCondition]
+      type = FunctionIC
+      function = '0.5*(1+tanh(x/2^0.5))'
+    [../]
+  [../]
+[]
+
+[AuxKernels]
+  [./diff]
+    type = ParsedAux
+    variable = diff
+    function = c-ca
+    args = 'c ca'
+  [../]
+[]
+
+[Materials]
+  [./F]
+    type = DerivativeParsedMaterial
+    f_name = F
+    function = 'c^2*(1-c)^2'
+    args = c
+  [../]
+[]
+
+[Kernels]
+  # Split Cahn-Hilliard kernels
+  [./c_res]
+    type = SplitCHParsed
+    variable = c
+    f_name = F
+    kappa_name = 1
+    w = w
+  [../]
+  [./wres]
+    type = SplitCHWRes
+    variable = w
+    mob_name = 1
+  [../]
+  [./time]
+    type = CoupledTimeDerivative
+    variable = w
+    v = c
+  [../]
+[]
+
+[Postprocessors]
+  [./L2]
+    type = ElementL2Error
+    function = solution
+    variable = c
+  [../]
+[]
+
+[VectorPostprocessors]
+  [./c]
+    type = LineValueSampler
+    variable = 'c ca diff'
+    start_point = '-10 0 0'
+    end_point = '10 0 0'
+    num_points = 200
+    sort_by = x
+  [../]
+[]
+
+[Preconditioning]
+  [./smp]
+    type = SMP
+    full = true
+  [../]
+[]
+
+[Executioner]
+  type = Transient
+  solve_type = NEWTON
+
+  nl_rel_tol = 1e-10
+  nl_abs_tol = 1e-12
+  end_time = 1e+6
+
+  [./TimeStepper]
+    type = IterationAdaptiveDT
+    dt = 1
+    optimal_iterations = 5
+    iteration_window = 1
+  [../]
+[]
+
+[Outputs]
+  csv = true
+  execute_on = final
+[]