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Moose Hackathon

Moose Hackathon

Daniel Wheeler

April 29, 2016
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  1. Hackthon Problems   CHIMAD Team  5 Karim  Ahmed  (INL)  and

     Sudipta Biswass (Purdue) Under  supervision  of   Daniel  Schwen and  Larry  Aagesen (INL)  
  2. Multiphysics Object-Oriented Simulation Environment (MOOSE)   Ø MOOSE is a

    massively parallel finite element framework suitable for solving multiphysics problems. Ø MOOSE is a winner of the 2014 R&D 100 award. MOOSE currently meets all Nuclear Quality Assurance Level 1 (NQA-1) requirements. Ø MOOSE is now open source software that can be downloaded freely from GitHub. Ø MOOSE has built-in time and mesh adaptivity, it is dimension agnostic and automatically parallel. An  illustration  of  the   anatomy  of  MOOSE.  
  3. Weak  form  of  the  kinetic  equations   1 2 1

    2 ( , ,...., ,...., ) , , ( , ,...., ,...., ) , 1, 2.... . ( , ) , ( , ) , 0, , ( , ) , 0, , p c p c c f c c c c t f c F L L p t f c c c c t t α α α η α α α α η η η µ κ µ η η η η δ κ η α α δη η µ φ φ κ φ κ φ φ µ φ µ φ η φ ∂ = − ∇ ∂ ∂ = ∇⋅ ∇ ∂ ∂ ⎡ ⎤ ∂ = − = − − ∇ ∀ = ⎢ ⎥ ∂ ∂ ⎣ ⎦ ∂ ⎛ ⎞ − − ∇ ∇ + < ∇ ⋅ > = ⎜ ⎟ ∂ ⎝ ⎠ ∂ ⎛ ⎞ + ∇ ∇ − < ∇ ⋅ >= ⎜ ⎟ ∂ ⎝ ⎠ ∂ ⎛ ∂ M n M M n , ( , ) , 0 , 1, 2.... . f L L L p η α η α α φ κ η φ κ η φ α α η ⎛ ⎞ ∂ ⎞ + + ∇ ∇ − < ∇ ⋅ > = ∀ = ⎜ ⎟ ⎜ ⎟ ∂ ⎝ ⎠ ⎝ ⎠ n Strong  form Varitional  (Weak)  form
  4. Implementation  in  MOOSE Ø Linear Lagrange discretization of the kinetic

    equations employing four-node quadrilateral elements in 2D Ø The time integration was carried out via a second-order Backward Differentiation Formula (BDF2). Ø The nonlinear system is solved using the Newton method; where in each nonlinear iteration the linear system is solved iteratively using a Krylov method (GMRES). Ø The T and sphere meshes were created using CUBIT
  5. Prob1-­‐Periodic  BC Phase  fraction   increases  with  time.   Total

     free  energy   decreases  with  time.  
  6. Prob1-­‐Zero-­‐flux  BC

  7. Prob1-­‐Sphere Total  free  energy   decreases  with  time.  

  8. Implementation  in  MOOSE Ø Used DerivativeParsedMaterial and Parsed kernels to

    model free energy and implement CH equation Ø For Problem 2 developed material to implement free energy and all it’s derivatives w r.t concentration and order parameters Ø Developed an action to create kernels for all the order parameters
  9. Prob2-­‐Free  energy Due  to  Numerical  Instabilities   solution  had  convergence

     issues
  10. Prob2-­‐Periodic

  11. Prob2-­‐No  Flux

  12. Prob2-­‐ T  mesh