A Learning Experience of Computational Fluid Dynamics : Immersed-Boundary-based Simulation of 2D Flow

초록

Development of geometry-independent computational method for simulation of 2D flows around or inside objects of complex geometry is presented. It is also referred as immersed boundary method which introduces virtual forcing to governing equations to represent the effect of physical boundaries. The present method is based on a finite-volume approach on a staggered grid with a fractional-step method to solve Navier-Stokes equation and continuity equation. Both momentum and mass forcings are introduced on and inside the object to satisfy no-slip condition and mass conservation. Since Cartesian grid lines in general do not coincide with the immersed boundaries, several interpolation schemes are employed. Several examples are simulated using the method presented in this study and the results agree well with other results. Both user-friendly preprocessor with GUI and FORTRAN-based solver are open to the public for educational purposes. This work was supported by grant No. R01-2002-000-00060-0 from the Basic Research Program of the Korea Science amp; Engineering Foundation.