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Title: An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains
Authors: Le, D.V. 
Khoo, B.C. 
Lim, K.M. 
Keywords: Cartesian grid method
Fast Poisson solvers
Finite difference
Immersed boundary method
Irregular domains
Navier-Stokes equations
Issue Date: 15-Apr-2008
Citation: Le, D.V., Khoo, B.C., Lim, K.M. (2008-04-15). An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains. Computer Methods in Applied Mechanics and Engineering 197 (25-28) : 2119-2130. ScholarBank@NUS Repository.
Abstract: We present a method for solving the incompressible Navier-Stokes equations in irregular domains. These equations are discretized using finite difference method in a uniform Cartesian grid. Stationary rigid boundaries are embedded in the Cartesian grid and singular forces are applied at the rigid boundaries to impose the no-slip conditions. The singular forces are then distributed to the nearby Cartesian grid points using the immersed boundary method. In the present work, the singular forces are computed implicitly by solving a small system of equations at each time step. This system of equations is derived from a second order projection method. The main advantage of this method is that it imposes the no-slip boundary condition exactly and avoids the need for small time step to maintain stability. The ability of the method to simulate viscous flows in irregular domains is demonstrated by applying to 2-dimensional flows past a circular cylinder, multiple rigid obstacles and 3-dimensional flow past a sphere. © 2007 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
DOI: 10.1016/j.cma.2007.08.008
Appears in Collections:Staff Publications

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