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- W2127407501 abstract "A second{order accurate and highly ecient Immersed Boundary Method (IBM) is presented for simulating ows along rectangular non{moving solid objects. In this method a rectangular object is placed on a staggered Cartesian grid such that its boundary coincides with grid points for the boundary{normal velocity component. By im- posing forces at the grid points nearest to and on the boundary, the no{slip condition for the boundary{parallel velocity components is satise d exactly, while the no{penetration condition for the boundary{normal velocity component is satise d to a very good approx- imation. The accuracy of the IBM requires a pressure{correction method in which the correction pressure is small, which is accomplished by adding a fraction of the correction pressure to the pressure after every time step. It is shown that for the currently used second{order Adams{Bashforth scheme this fraction must not exceed one for maintaining stability. Furthermore, a von Neumann stability analysis has been performed, from which it is argued that the forces imposed in the IBM will usually not ae ct the numerical stabil- ity. The method has been successfully applied to both laminar and turbulent ows through a porous medium consisting of a periodic three{dimensional regular array of cubes." @default.
- W2127407501 created "2016-06-24" @default.
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- W2127407501 date "2006-09-06" @default.
- W2127407501 modified "2023-09-26" @default.
- W2127407501 title "AN IMMERSED BOUNDARY METHOD FOR FLOWS AROUND RECTANGULAR OBJECTS." @default.
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