Second order level set projection method for incompressible Navier-Stokes equations
is proposed to solve flow around arbitrary geometries. We used rectilinear grid
with collocated cell centered velocity and pressure. An explicit Godunov procedure
is used to address the nonlinear advection terms, and an implicit Crank-Nicholson
method to update viscous effects. An approximate pressure projection is implemented
at the end of the time stepping using multigrid as a conventional fast iterative method.
The level set method developed by Osher and Sethian [17] is implemented to address
real momentum and pressure boundary conditions by the advection of a distance
function, as proposed by Aslam [3]. Numerical results for the Strouhal number and
drag coefficients validated the model with good accuracy for flow over a cylinder in
the parallel shedding regime (47 < Re < 180). Simulations for an array of cylinders
and an oscillating cylinder were performed, with the latter demonstrating our
methods ability to handle dynamic boundary conditions.
| Date of Award | Jan 12 2012 |
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| Original language | English (US) |
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| Awarding Institution | - Biological, Environmental Sciences and Engineering
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| Supervisor | Ravi Samtaney (Supervisor) |
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- level set
- projection
- incompressible
- multigrid
- navier-stokes