Immersed Boundary Method for Solving Incompressible Viscous Flow Equations in Complex Geometry
Date Issued
2005
Date
2005
Author(s)
Ting, Hsung-Feng
DOI
en-US
Abstract
In this thesis, a discrete-time direct forcing method in Cartesian grids is applied to the numerical simulation of the flow over a circular cylinder, flow over two cylinders in tandem, backward-facing step flow and flow over the label of "SCCS". A collocated finite-difference method for CDR (convection-diffusion-reaction) equation with nodally exact discrete scheme in non-staggered uniform Cartesian grids is used. The momentum forcing is applied on the body surface or inside the body to satisfy the no-slip boundary condition on the immersed boundary (body-fluid interface). For immersed boundary method, the choice of an accurate interpolation scheme satisfying the no-slip condition on
the immersed boundary is very important because the grid lines generally do not coincide with the immersed boundary. Therefore, a novel interpolation technique for evaluating the momentum forcing on the body surface or inside the body is presented. The benchmark problem of flow over a circular cylinder, is simulated using the
proposed immersed boundary method. The results agree very well with other numerical and experimental results in the literatures.
the immersed boundary is very important because the grid lines generally do not coincide with the immersed boundary. Therefore, a novel interpolation technique for evaluating the momentum forcing on the body surface or inside the body is presented. The benchmark problem of flow over a circular cylinder, is simulated using the
proposed immersed boundary method. The results agree very well with other numerical and experimental results in the literatures.
Subjects
沉浸邊界方法
複雜外型
不可壓縮黏性流
Immersed Boundary Method
Complex Geometry
Incompressible Viscous Flow
Type
thesis
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