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Applications of multigrid methods to turbulent incompressible flows

Thesis/Dissertation ·
OSTI ID:5293411
The current study further develops the application of multigrid methods to the acceleration of convergence of turbulent, incompressible flow codes. Specifically, it extends the application of multigrid codes to stream-function-vorticity codes, already extensively used with laminar multigrid codes; the use of multigrid with primitive variable turbulent, incompressible flow codes has already been established. A new zero order equation model, the partial-slip turbulence model, is introduced and used concurrently with the older, more well established k-{var epsilon} turbulence model in the application of multigrid to stream-function-vorticity codes. This partial-slip model is demonstrated to lead to considerably faster convergence than the k-{var epsilon} model even without multigrid by virtue of the fact that fewer equations need to be solved. The current study also introduces the multigrid-like concept MOSI. MOSI combines red-black coarsening with the MSI algorithm to yield a much faster elliptic solver. MOSI is demonstrated to stabilize turbulent, primitive variable codes that use the SIMPLEC algorithm; it accomplishes this by means of better solving the pressure correction equation.
Research Organization:
Toledo Univ., OH (USA)
OSTI ID:
5293411
Country of Publication:
United States
Language:
English

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