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Title: Simulation of incompressible viscous flows by local DFD-immersed boundary method
Authors: Wu, Y.L. 
Shu, C. 
Ding, H.
Keywords: Flow past a circular cylinder
Immersed boundary method (IBM)
Incompressible flow
Local domain free discretization (local DFD)
Issue Date: 2012
Citation: Wu, Y.L., Shu, C., Ding, H. (2012). Simulation of incompressible viscous flows by local DFD-immersed boundary method. Advances in Applied Mathematics and Mechanics 4 (3) : 311-324. ScholarBank@NUS Repository.
Abstract: A local domain-free discretization-immersed boundary method (DFDIBM) is presented in this paper to solve incompressible Navier-Stokes equations in the primitive variable form. Like the conventional immersed boundary method (IBM), the local DFD-IBM solves the governing equations in the whole domain including exterior and interior of the immersed object. The effect of immersed boundary to the surrounding fluids is through the evaluation of velocity at interior and exterior dependent points. To be specific, the velocity at interior dependent points is computed by approximate forms of solution and the velocity at exterior dependent points is set to the wall velocity. As compared to the conventional IBM, the present approach accurately implements the non-slip boundary condition. As a result, there is no flow penetration, which is often appeared in the conventional IBM results. The present approach is validated by its application to simulate incompressible viscous flows around a circular cylinder. The obtained numerical results agree very well with the data in the literature. © 2012 Global Science Press.
Source Title: Advances in Applied Mathematics and Mechanics
ISSN: 20700733
DOI: 10.4208/aamm.10-m1171
Appears in Collections:Staff Publications

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