Periodic BC instead of mortar for sliding mesh

Numerical methods and mathematical models of Elmer
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mb5
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Joined: 10 Jun 2017, 18:07
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Periodic BC instead of mortar for sliding mesh

Post by mb5 »

Hi all,

I'm simulating an electrical machine. The results are good but the convergence is very bad with mortar for the sliding mesh ( see viewtopic.php?f=3&t=4652&sid=b5bd00e8ee ... f4528b99d8). Often I couldn't get the solver converging.

My question: Is it possible to replace the mortar BC for the sliding airgap mesh with periodic boundaries? I have a structured mesh. In every timestep the nodes from moving part matching the nodes of the fixed part. In which way I have to modify the boundary condition?

Best regard
Martin

Code: Select all

$ p = 1             ! pole pairs
$ dangle = 45       ! angle for d-axis in degree
$ skew_angle = 00   ! skewing angle in degree
$ skew_length = 100 ! base length for skewing (epM: stack length)

$ speed = 1000      ! rotational speed in rpm
$ N_period = 1      ! number of electrical periods
$ Nsteps = 45       ! number of steps 


$ w_mech = 2.0*pi*speed/60.0
$ T = 1.0/(speed/60.0*p)*N_period
$ dt = T / Nsteps
$ Rs = 1.0          ! resistance coil side
$ Nc = 100          ! number of turns per coil
$ Acs = 20*40*1e-6  ! surface of the coil sides
$ curr = 0.0  !20


Header 
  CHECK KEYWORDS Warn 
  Mesh DB "mesh" "." 
  Include Path "" 
  Results Directory "results" 
End 

Simulation 
  Max Output Level = 3 
  Coordinate System = "Cartesian 3D"  
  Coordinate Scaling = 0.001 
  
  Simulation Type = Transient
  Timestep Size = $dt
  Timestep Intervals = $Nsteps+1
  Timestepping Method = BDF
  BDF order = 2
  
  Steady State Max Iterations = 1
  Output Intervals = 100
  Use Mesh Names = Logical True
End 

!!!!!!!!!!!!!!!!!!!!!!!!!!  Materials !!!!!!!!!!!!!!!!!!!!!!!!!!! 
Material 1 
  Name = "Air" 
  Relative Permeability = 1 
End 

Material 2 
  Name = "iron" 
  Relative Permeability = 1000
End 

Material 3 
  Name = "Ferritband" 
  Relative Permeability = 1.05
  Magnetization 1 = 187196.5283
  Magnetization 2 = 0
  Magnetization 3 = 0   
End 


!!!!!!!!!!!!!!!!!!!!!!!!!!  Boundary conditions  !!!!!!!!!!!!!!!!!!!!!!!!!!! 
Boundary Condition 1 
    Target Boundaries(15) = 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 
    Name = "Boundary_Outer" 
    AV {e} = Real 0
End 


Boundary Condition 2
    Target Boundaries(1) = 1
    Name = "airgap"
    Discontinuous Boundary = Logical True
    Mortar BC = 3    
    Galerkin Projector = Logical True      ! programm error on step 2
    Rotational Projector = Logical True    ! too much mesh skew
    Projector Skip Nodes = Logical True
End



!!!!!!!!!!!!!!!!!!!!!!!!!!  Body Forces  !!!!!!!!!!!!!!!!!!!!!!!!!!! 
Body Force 1
    Name = "BodyForce_Rotation"
    Mesh Rotate 3 = Variable time, timestep size
    Real MATC "180/pi*w_mech*(tx(0)-tx(1))" ! in degrees
End

Body Force 2
    Name = "BodyForce_Rotation"
    Mesh Rotate 3 = Variable time, timestep size
    Real MATC "180/pi*w_mech*(tx(0)-tx(1))" ! in degrees
    Current Density 1 = Real 0
    Current Density 2 = Real 0
    Current Density 3 = Real MATC "curr/Acs*Nc"
End

Body Force 3
    Name = "BodyForce_Rotation"
    Mesh Rotate 3 = Variable time, timestep size
    Real MATC "180/pi*w_mech*(tx(0)-tx(1))" ! in degrees
    Current Density 1 = Real 0
    Current Density 2 = Real 0
    Current Density 3 = Real MATC "-curr/Acs*Nc"
End


!!!!!!!!!!!!!!!!!!!!!!!!!!  Solver parameters !!!!!!!!!!!!!!!!!!!!!!!!!!! 

!mesh rotation
Solver 1
    Exec Solver = Before Timestep
    Equation = MeshDeform
    Procedure = "RigidMeshMapper" "RigidMeshMapper"
End


Solver 2
  Equation = "MGDynamics"
  Variable = "AV"
  Procedure = "MagnetoDynamics" "WhitneyAVSolver"

! Fix Input Current Density = Logical True
  !// Export Lagrange Multiplier = Logical True

  Nonlinear System Convergence Tolerance = 1.0e-4   !// 1.0e-8
  Nonlinear System Max Iterations = 1  !// 50 
  Nonlinear System Relaxation Factor = 1 
  Newton-Raphson Iteration = Logical True
  Linear System Solver = "Iterative"
  Linear System Preconditioning = ILU1
  Linear System Residual Output = 20
  Linear System Max Iterations = 3000
  Linear System Iterative Method = BiCGStab2 
  BicGStabL Polynomial Degree = 4
  Linear System GCR Restart = 600
  Linear System Convergence Tolerance = 1e-8    ! 1e-10
  Linear System Abort Not Converged = False

  Steady State Convergence Tolerance = 1e-09

  Edge Basis = Logical True
  !// Apply Mortar BCs = Logical True
  Optimize Bandwidth = False
End 


Solver 3
   Equation = "MGDynamicsCalc"
   Procedure = "MagnetoDynamics" "MagnetoDynamicsCalcFields"
   Linear System Symmetric = True
   Potential Variable = "AV"

   Calculate Magnetic Field Strength = Logical True
   Calculate Current Density = Logical True
   Calculate nodal forces = logical true
   Calculate Magnetic Vector Potential = Logical True

   
  Linear System Solver = "Iterative"
  Linear System Preconditioning = ILU1
  Linear System Residual Output = 20
  Linear System Max Iterations = 3000
  Linear System Iterative Method = BiCGStab2 
  BicGStabL Polynomial Degree = 4
  Linear System GCR Restart = 600
  Linear System Convergence Tolerance = 1e-8    ! 1e-10
  Linear System Abort Not Converged = False
   
   Steady State Convergence Tolerance = 1e-6
   Discontinuous Bodies = True
   Apply Mortar BCs = True
End


!save to VTU format for ParaView with faces' IDs 
Solver 4 
  Exec Solver = After Timestep 
  Procedure = "ResultOutputSolve" "ResultOutputSolver" 
  Output File Name = "step" 
  
  Vtu Format = True 
  Binary Output = True 
  Single Precision = True 
  Save Geometry Ids = True 
End 

!// save scalar variables - torque T [Nm]
Solver 5
    Exec Solver = After Timestep
    Filename = "scalars.dat"
    Procedure = "SaveData" "SaveScalars"
    Show Norm Index = 1
    save component results = logical True
End


Component 1
  Name = string "inner"
  Master Bodies(3) = integer  5 6 7

  !// Calculate Magnetic Force = Logical True
  Calculate Magnetic Torque = Logical True
End

Component 2
  Name = string "outer"
  Master Bodies(2) = integer 1 2
  Calculate Magnetic Torque = Logical True
End


Equation 1 
  Name = "ModelDomain" 
  Active Solvers(5) = 1 2 3 4 5
End 


!!!!!!!!!!!!!!!!!!!!!!!!!!  Bodies are here !!!!!!!!!!!!!!!!!!!!!!!!!!! 
Body 1 
  Name = "yoke" 
  Equation = 1 
  Material = 2 
End 
 
Body 2 
  Name = "magnet" 
  Equation = 1 
  Material = 3
End 

Body 3
  Name = "air2" 
  Equation = 1 
  Material = 1
End 
 
Body 4
  Name = "air1" 
  Equation = 1 
  Material = 1
  Body Force = 1
End 

Body 5
  Name = "core" 
  Equation = 1 
  Material = 2
  Body Force = 1
End 

Body 6
  Name = "c1" 
  Equation = 1 
  Material = 1
  Body Force = 2
End 

Body 7
  Name = "c2" 
  Equation = 1 
  Material = 1
  Body Force = 3
End 

Attachments
mesh.zip
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