• Solver Fortran File: IntegrateVertically.f90
• Solver Name: IntegrateVertically
• Required Output Variable(s): given by the variable name
• Required Input Variable(s): Name of the variable to be integrated in Integrated Variable Name, Depth or Height
• Optional Output Variable(s): None
• Optional Input Variable(s): None

This solver compute the depth integrated value of a variable = sum_zb^zs D dz or the mean value. Can be computed on the upper surface or on the lower one.

Solver 2
  Equation = "IntegrateVertically"

   Procedure = File "ElmerIceSolvers" "IntegrateVertically"
   Variable = String "Mean Var"
   Variable DOFs = 1

   Exported Variable 1 = String "VarToBeIntegrated"
   Exported Variable 1 DOFs = 1

   ! We want it computed on the bed
   On Surface = Logical False
   ! We want the mean value
   ! We then need the Depth
   Compute Mean = Logical True
   Integrated Variable Name = String "VarToBeIntegrated"

   Linear System Solver = "Direct"
   Linear System Direct Method = umfpack
End

!!! free surface
Boundary Condition 2
  Target Boundaries = 6
  Mean Var = Real 0.0
  Depth = Real 0.0
End

Download an example using the IntegrateVertically Solver