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Author(s)

     Alfredo Pinelli, Iftekhar Naqawi, Ugo Piomelli,

Title

     IMMERSED BOUNDARY METHOD FOR GENERALISED FINITE VOLUME AND FINITE DIFFERENCE NAVIER-STOKES SOLVERS

Publication Name

     ASME Paper FEDSM-ICNMM2010-30529

Publication Type

     
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Publication Year
     2010
Abstract
     In Immersed Boundary Methods (IBM) the effect of complex geometries is introduced through the forces added in the Navier-Stokes solver at the grid points in the vicinity of the immersed boundaries. Most of the methods in the literature have been used with Cartesian grids. Moreover many of the methods developed in the literature do not satisfy some basic conservation properties (the conservation of torque, for instance) on non-uniform meshes. In this paper we will follow the RKPM method originated by Liu et al.\cite{LiuCUC96} to build locally regularized functions that verify a number of integral conditions. These local approximants will be used both for interpolating the velocity field and for spreading the singular force field in the framework of a pressure correction scheme for the incompressible Navier- Stokes equations. We will also demonstrate the robustness and effectiveness of the scheme through various examples.
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Website
     http://
Paper Status
     Published
DOI / Publication ID
     hpcg1246



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