Exact implementation of boundary conditions for Immersed Boundary Methods
Most CFD flow solvers obtain solution on boundary-conforming grids. Generating a boundary-conforming grid is, in general, a tedious and time consuming task. To simplify the grid generation process, a technique called Immersed Boundary Method was developed which can be applied to grids that are not boundary-conforming. However, implementing boundary conditions is not straight forward. To address this issue, several Immersed Boundary Methods have been developed over the years. All of these methods were found to satisfy the boundary conditions only on selected points on the boundary but not on the entire boundary. In this thesis, a new method is developed that satisfies the boundary conditions on the entire boundary. This method is demonstrated by applying it to solve potential flow past a circular cylinder. Results from the new method and the existing methods are compared and it is observed that the new method gives more accurate solutions on identical grids.
Shih, Purdue University.
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