# A description of convection in a rectangular box where we prescribe
# temporally variable boundary conditions for the velocity along the top
# boundary. See the manual for more information.


############### Global parameters

set Dimension                              = 2
set Start time                             = 0
set End time                               = 20
set Use years in output instead of seconds = false
set Output directory                       = output-platelike-boundary


############### Parameters describing the model
# Let us here choose again a box domain of size 2x1
# where we fix the temperature at the bottom and top,
# allow free slip along the bottom, left and right,
# and prescribe the velocity along the top using the
# `function' description.

subsection Geometry model
  set Model name = box

  subsection Box
    set X extent = 2
    set Y extent = 1
  end
end


# We then set the temperature to one at the bottom and zero
# at the top: 
subsection Boundary temperature model
  set Fixed temperature boundary indicators = bottom, top
  set List of model names = box
  
  subsection Box
    set Bottom temperature = 1
    set Top temperature    = 0
  end
end


# The velocity along the top boundary models a spreading
# center that is moving left and right:
subsection Boundary velocity model
  set Tangential velocity boundary indicators = left, right, bottom
  set Prescribed velocity boundary indicators = top: function

  subsection Function
    set Variable names      = x,z,t
    set Function constants  = pi=3.1415926
    set Function expression = if(x>1+sin(0.5*pi*t), 1, -1); 0
  end
end


# We then choose a vertical gravity model and describe the
# initial temperature with a vertical gradient. The default
# strength for gravity is one. The material model is the
# same as before.
subsection Gravity model
  set Model name = vertical
end


subsection Initial temperature model
  set Model name = function
  
  subsection Function
    set Variable names      = x,z
    set Function expression = (1-z)    
  end
end


subsection Material model
  set Model name = simple

  subsection Simple model
    set Thermal conductivity          = 1e-6
    set Thermal expansion coefficient = 1e-4
    set Viscosity                     = 1
  end
end


# The final part of this input file describes how many times the
# mesh is refined and what to do with the solution once computed
subsection Mesh refinement
  set Initial adaptive refinement        = 0
  set Initial global refinement          = 5
  set Time steps between mesh refinement = 0
end


subsection Postprocess
  set List of postprocessors = visualization, temperature statistics, heat flux statistics

  subsection Visualization
    set Time between graphical output = 0.1
  end
end