Adding coupled heat conduction w/o MOOSE source

examples/coupled_heat_conduction/1D_transient.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  type = GeneratedMesh
+  dim = 1
+  nx = 160
+  xmax = 80
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[ICs]
+  [./T_IC]
+    type = FunctionIC
+    variable = T
+    function = '100*sin(3.14159*x/80)'
+  [../]
+[]
+
+[Kernels]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]
+    type = HeatConductionTimeDerivative
+    variable = T
+  [../]
+[]
+
+[BCs]
+  [./left]
+    type = DirichletBC
+    variable = T
+    boundary = left
+    value = 0
+  [../]
+  [./right]
+    type = DirichletBC
+    variable = T
+    boundary = right
+    value = 0
+  [../]
+[]
+
+[Materials]
+  [./k]
+    type = GenericConstantMaterial
+    prop_names = 'thermal_conductivity'
+    prop_values = '0.95' #copper in cal/(cm sec C)
+    block = 0
+  [../]
+  [./cp]
+    type = GenericConstantMaterial
+    prop_names = 'specific_heat'
+    prop_values = '0.092' #copper in cal/(g C)
+    block = 0
+  [../]
+  [./rho]
+    type = GenericConstantMaterial
+    prop_names = 'density'
+    prop_values = '8.92' #copper in g/(cm^3)
+    block = 0
+  [../]
+[]
+
+[Postprocessors]
+  [./error]
+    type = NodalL2Error
+    function = '100*sin(3.14159*x/80)*exp(-0.95/(0.092*8.92)*3.14159^2/80^2*t)' #T(x,t) = 100sin(pix/L)exp(-rho/(cp k) pi^2/L^2 t)
+    variable = T
+  [../]
+[]
+
+[Executioner]
+  type = Transient
+  scheme = bdf2
+  nl_rel_tol = 1e-12
+  l_tol = 1e-6
+  dt = 2
+  end_time = 100
+  petsc_options_iname = '-pc_type -pc_hypre_type'
+  petsc_options_value = 'hypre boomeramg'
+[]
+
+[Outputs]
+  exodus = true
+  print_perf_log = true
+[]

examples/coupled_heat_conduction/2D_transient_circle.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  # This is a circle from x=(-0.5, 0.5) and y=(-0.5,0.5)
+  file = 2D_circle_sideset.exo
+  block_id = '1'
+  block_name = 'interior'
+  boundary_id = '100'
+  boundary_name = 'wall'
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[ICs]
+  [./T_IC]
+    type = FunctionIC
+    variable = T
+    # function = 'exp(-3.14159*(x*x+y*y))'
+    function = '0.0'
+  [../]
+[]
+
+[Kernels]
+  [./HeatSource]
+    type = HeatSource
+    function = '1.0'
+    variable = T
+  [../]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]
+    type = HeatConductionTimeDerivative
+    variable = T
+  [../]
+[]
+
+[Functions]
+  # BCFunction just returns 0.0 right now
+  [./bc_func]
+    type = BCFunction
+  [../]
+[] 
+
+[BCs]
+  [./wall]
+    type = FunctionDirichletBC
+    variable = T
+    boundary = 'wall'
+    function = bc_func
+  [../]
+[]
+
+[Materials]
+  [./k]
+    type = GenericConstantMaterial
+    prop_names = 'thermal_conductivity'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+  [./cp]
+    type = GenericConstantMaterial
+    prop_names = 'specific_heat'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+  [./rho]
+    type = GenericConstantMaterial
+    prop_names = 'density'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+[]
+
+# [Postprocessors]
+#   [./error]
+#     type = NodalL2Error
+#     function = '100*sin(3.14159*x/80)*exp(-0.95/(0.092*8.92)*3.14159^2/80^2*t)' #T(x,t) = 100sin(pix/L)exp(-rho/(cp k) pi^2/L^2 t)
+#     variable = T
+#   [../]
+# []
+
+[Executioner]
+
+  type = Transient
+  scheme    = bdf2     # Others available: backward Euler, Crank-Nicholson, etc.
+  #scheme     = 'Explicit-Euler'     
+  dt         = 0.001    # Initial timestep size
+  start_time = 0        # Starting time
+  #num_steps  = 200      # DIVERGES AFTER 6 TIMESTEPS...
+  num_steps  = 1      # DIVERGES AFTER 6 TIMESTEPS...
+  nl_rel_tol = 1e-8     # Nonlinear relative tolerance
+  l_tol      = 1e-6     # Linear tolerance
+
+  petsc_options_iname = '-pc_type -pc_hypre_type'
+  petsc_options_value = 'hypre boomeramg'
+[]
+
+[Outputs]
+  exodus = true
+  print_perf_log = true
+[]

examples/coupled_heat_conduction/2D_transient_square.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  type = GeneratedMesh
+  dim = 2
+  nx = 40
+  ny = 40
+  xmax = 80
+  ymax = 80
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[Kernels]
+  [./HeatSource]
+    type = HeatSource
+    function = '100*sin(3.14159*x/80)*sin(3.14159*y/80)'
+    variable = T
+  [../]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]
+    type = HeatConductionTimeDerivative
+    variable = T
+  [../]
+[]
+
+[BCs]
+  [./left]
+    type = DirichletBC
+    variable = T
+    boundary = left
+    value = 0
+  [../]
+  [./right]
+    type = DirichletBC
+    variable = T
+    boundary = right
+    value = 0
+  [../]
+  [./top]
+    type = DirichletBC
+    variable = T
+    boundary = top
+    value = 0
+  [../]
+  [./bottom]
+    type = DirichletBC
+    variable = T
+    boundary = bottom
+    value = 0
+  [../]
+[]
+
+[Materials]
+  [./k]
+    type = GenericConstantMaterial
+    prop_names = 'thermal_conductivity'
+    prop_values = '0.95' #copper in cal/(cm sec C)
+    block = 0
+  [../]
+  [./cp]
+    type = GenericConstantMaterial
+    prop_names = 'specific_heat'
+    prop_values = '0.092' #copper in cal/(g C)
+    block = 0
+  [../]
+  [./rho]
+    type = GenericConstantMaterial
+    prop_names = 'density'
+    prop_values = '8.92' #copper in g/(cm^3)
+    block = 0
+  [../]
+[]
+
+[Postprocessors]
+  [./error]
+    type = NodalL2Error
+    function = '100*sin(3.14159*x/80)*exp(-0.95/(0.092*8.92)*3.14159^2/80^2*t)' #T(x,t) = 100sin(pix/L)exp(-rho/(cp k) pi^2/L^2 t)
+    variable = T
+  [../]
+[]
+
+[Executioner]
+  type = Transient
+  scheme = bdf2
+  nl_rel_tol = 1e-12
+  l_tol = 1e-6
+  dt = 2
+  end_time = 100
+  petsc_options_iname = '-pc_type -pc_hypre_type'
+  petsc_options_value = 'hypre boomeramg'
+[]
+
+[Outputs]
+  exodus = true
+  print_perf_log = true
+[]

examples/coupled_heat_conduction/3D_transient_cube.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  type = GeneratedMesh
+  dim = 3
+  nx = 20
+  ny = 20
+  nz = 20
+  xmax = 80
+  ymax = 80
+  zmax = 80
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[Kernels]
+  [./HeatSource]
+    type = HeatSource
+    function = '100*sin(3.14159*x/80)*sin(3.14159*y/80)*sin(3.14159*z/80)'
+    variable = T
+  [../]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]
+    type = HeatConductionTimeDerivative
+    variable = T
+  [../]
+[]
+
+[BCs]
+  [./left]
+    type = DirichletBC
+    variable = T
+    boundary = left
+    value = 0
+  [../]
+  [./right]
+    type = DirichletBC
+    variable = T
+    boundary = right
+    value = 0
+  [../]
+  [./top]
+    type = DirichletBC
+    variable = T
+    boundary = top
+    value = 0
+  [../]
+  [./bottom]
+    type = DirichletBC
+    variable = T
+    boundary = bottom
+    value = 0
+  [../]
+[]
+
+[Materials]
+  [./k]
+    type = GenericConstantMaterial
+    prop_names = 'thermal_conductivity'
+    prop_values = '0.95' #copper in cal/(cm sec C)
+    block = 0
+  [../]
+  [./cp]
+    type = GenericConstantMaterial
+    prop_names = 'specific_heat'
+    prop_values = '0.092' #copper in cal/(g C)
+    block = 0
+  [../]
+  [./rho]
+    type = GenericConstantMaterial
+    prop_names = 'density'
+    prop_values = '8.92' #copper in g/(cm^3)
+    block = 0
+  [../]
+[]
+
+[Postprocessors]
+  [./error]
+    type = NodalL2Error
+    function = '100*sin(3.14159*x/80)*exp(-0.95/(0.092*8.92)*3.14159^2/80^2*t)' #T(x,t) = 100sin(pix/L)exp(-rho/(cp k) pi^2/L^2 t)
+    variable = T
+  [../]
+[]
+
+[Executioner]
+  type = Transient
+  scheme = bdf2
+  nl_rel_tol = 1e-12
+  l_tol = 1e-6
+  dt = 2
+  #end_time = 100
+  end_time = 10
+  petsc_options_iname = '-pc_type -pc_hypre_type'
+  petsc_options_value = 'hypre boomeramg'
+[]
+
+[Outputs]
+  exodus = true
+  print_perf_log = true
+[]

examples/coupled_heat_conduction/3D_transient_cylinder.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  # This is a cylinder with r=0.5, z=(0,1)
+  file = 3D_sideset.exo
+  block_id = '1'
+  block_name = 'interior'
+  boundary_id = '100 200 300'
+  boundary_name = 'top bottom wall'
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[ICs]
+  [./T_IC]
+    type = FunctionIC
+    variable = T
+    # function = 'exp(-3.14159*(x*x+y*y))'
+    function = '0.0'
+  [../]
+[]
+
+[Kernels]
+  [./HeatSource]
+    type = HeatSource
+    # function = '100*cos(3.14159*x)*cos(3.14159*y)'
+    function = '1.0'
+    variable = T
+  [../]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]
+    type = HeatConductionTimeDerivative
+    variable = T
+  [../]
+[]
+
+[Functions]
+  # BCFunction just returns 0.0 right now
+  [./bc_func]
+    type = BCFunction
+  [../]
+[] 
+
+[BCs]
+  [./top]
+    type = FunctionDirichletBC
+    variable = T
+    boundary = 'top'
+    function = bc_func
+  [../]
+  [./bottom]
+    type = FunctionDirichletBC
+    variable = T
+    boundary = 'bottom'
+    function = bc_func
+  [../]
+  [./wall]
+    type = FunctionDirichletBC
+    variable = T
+    boundary = 'wall'
+    function = bc_func
+  [../]
+[]
+
+[Materials]
+  [./k]
+    type = GenericConstantMaterial
+    prop_names = 'thermal_conductivity'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+  [./cp]
+    type = GenericConstantMaterial
+    prop_names = 'specific_heat'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+  [./rho]
+    type = GenericConstantMaterial
+    prop_names = 'density'
+    prop_values = '1'
+    block = 'interior'
+  [../]
+[]
+
+[Postprocessors]
+  [./error]
+    type = NodalL2Error
+    function = '100*sin(3.14159*x/80)*exp(-0.95/(0.092*8.92)*3.14159^2/80^2*t)' #T(x,t) = 100sin(pix/L)exp(-rho/(cp k) pi^2/L^2 t)
+    variable = T
+  [../]
+[]
+
+[Executioner]
+
+  type = Transient
+  scheme     = 'Explicit-Euler' # Others available: backward Euler, Crank-Nicholson, etc.
+  dt         = 0.001    # Initial timestep size
+  start_time = 0        # Starting time
+  num_steps  = 20       # DIVERGES AFTER 4 TIMESTEPS
+  nl_rel_tol = 1e-8     # Nonlinear relative tolerance
+  l_tol      = 1e-6     # Linear tolerance
+
+  petsc_options_iname = '-pc_type -pc_hypre_type'
+  petsc_options_value = 'hypre boomeramg'
+[]
+
+[Outputs]
+  exodus = true
+  print_perf_log = true
+[]

examples/coupled_heat_conduction/3d_transient.i

+# This test solves a 1D transient heat equation
+# The error is caclulated by comparing to the analytical solution
+# The problem setup and analytical solution are taken from "Advanced Engineering
+# Mathematics, 10th edition" by Erwin Kreyszig.
+# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
+# It is Example 1 in section 12.6 on page 561
+
+[Mesh]
+  file = 3D.exo
+[]
+
+[Variables]
+  [./T]
+  [../]
+[]
+
+[ICs]
+  [./T_IC]
+    type = FunctionIC
+    variable = T
+    function = '100*sin(3.14159*x/80)*sin(3.14159*y/80)'
+  [../]
+[]
+
+[Kernels]
+  [./HeatDiff]
+    type = HeatConduction
+    variable = T
+  [../]
+  [./HeatTdot]