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~~NOTOC~~
==== Inefficient drainage system solver ====
==== General Informations ====
* **Solver Fortran File:** ''IDSSolver.f90''
* **Solver Name:** ''IDSSolver''
* **Required Output Variable(s):** ''IDSHead'', ''IDSHead Residual'', ''IDSHead Homologous'' and ''IDSHead Pressure''
* **Required Input Variable(s):** ''None''
* **Optional Output Variable(s):** ''None''
* **Optional Input Variable(s):** ''IDS Head Upper Limit'' (required if the upper limit is used)
==== General Description ====
This solver treat the diffusion equation with a user defined upper limit.
==== SIF contents ====
The required keywords in the SIF file for this solver are given bellow. The IDSSolver can be used alone, coupling between the two layer is treated in the [[solvers:eplsolver|EPLSolver]] section
The hydrological system is only treated at the bed, it requires then a new equation, we keep the Material an Body Force section of the ice.
Body 2
Name = "hydrological system"
Equation = 2
Material = 1
Body Force = 1
Initial Condition = 2
End
! Initial condition for the hydrology
Initial Condition 2
IDSHead = real 0.0
End
Constants
Water Compressibility = Real 5.04e-4 !MPa-1
End
Only the parameters which are needed for the treatment of the hydrology are given here, you should add it to your existing Body Forces and Material.
Body Force 1
Flow BodyForce 1 = 0.0
Flow BodyForce 2 = 0.0
Flow BodyForce 3 = MATC "-9.81*(31556926.0)^(2.0)"
IDSHead Source Flux = Real 2.0
End
Material 1
! General Hydrology Parameters
Water Density = Real MATC "1000.0*1.0E-06*(31556926.0)^(-2.0)"
! IDS Solver
IDS Transmitivity = Real 5.0e2
IDS Porosity = Real 0.4
IDS Thickness = Real 20.0
IDS Compressibility = Real 1.0e-2
!Upper limit at the flotation limit
IDSHead Upper Limit = Variable Depth, coordinate 3
Real matc "tx(1)+tx(0)*0.91"
End
Solver 1
Equation = "IDS Equation"
Procedure = "ElmerIceSolvers" "IDSSolver"
Variable = IDSHead
Variable DOFs = 1
Steady State Convergence Tolerance = Real 1.0E-5
Linear System Solver = Direct
Linear System Direct Method = umfpack
Linear System Convergence Tolerance = Real 1.0E-7
Linear System Residual Output = integer 1
Nonlinear System Max Iterations = Integer 100
Nonlinear System Convergence Tolerance = Real 1.0E-6
Nonlinear System Relaxation Factor = Real 1.0
!This deals with the upper limit (enabled if TRUE)
Apply Dirichlet = Logical TRUE
Exported Variable 1 = String "IDSHead Residual"
Exported Variable 2 = String "IDSHead Homologous"
Exported Variable 3 = String "IDSHead Pressure"
End
Equation 2
Active Solvers (1) = 1
End
The boundary condition of the hydrological model should be applied on a 1D boundary located at the corner between the side and bed of the mesh.
Boundary Condition 4
Name = "Lower frame"
Target Boundaries = 4
! Flux condition on the borders of the hydrological domain
! Zero flux is not a necessary input as it is the natural
! boundary condition of the system
IDSHead Flux BC = Logical True
IDSHead Water Flux = Real 0.0
End
Boundary Condition 5
Name = "Glacier snout"
Target Boundaries = 5
! Take care to choose a value bellow or equals to the upper
1 limit of the water head
IDSHead = variable coordinate 3, depth
real matc "tx(0)+0.91*tx(1)"
End
==== Example ====
Two basic tests can be found in ''[ELMER_TRUNK]/elmerice/Tests/Hydro_SedOnly'' and ''[ELMER_TRUNK]/elmerice/Tests/Hydro_Coupled''.
==== Reference ====
When used this solver can be cited using the following reference :\\
de Fleurian, B.; Gagliardini, O.; Zwinger, T.; Durand, G.; Le Meur, E.; Mair, D. & RÃ¥back, P. A double continuum hydrological model for glacier applications The Cryosphere, 2014, 8, 137-153