A boundary element method for the numerical investigation of near-wall fluid flow with vortex method simulation

When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, a boundary integral equation based...

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Bibliographic Details
Published in:Engineering analysis with boundary elements Vol. 28; no. 11; pp. 1405 - 1416
Main Author: Khatir, Z.
Format: Journal Article
Language:English
Published: Oxford Elsevier 01.11.2004
Subjects:
Boundary-integral methods
Computational techniques
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Mathematical methods in physics
Physics
Irrotational flow
Neumann problem
3D-boundary element method
Boundary integral method
Spheres
Near-wall flow simulation
Experimental study
Surface states
Leaks
Image method
Potential flow
Vortex method
Incompressible flow
Integral equations
Exterior problem
Vortices
Source sink boundary integral equation
Modelling
Vortex flow
Incompressible fluid
Boundary element method
Flat plate
Flow potential
ISSN:0955-7997
Online Access:Get full text
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Summary:When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, a boundary integral equation based on the single- layer representation for the velocity potential is used. This three-dimensional exterior Neumann problem is specifically formulated in terms of a source/sink boundary integral equation. The solution to this integral equation is then coupled with an interpolation procedure which smoothes the transition between near-wall and interior regimes. We describe the numerical scheme embedding this strategy and discuss its accuracy and efficiency. For validation purposes, we consider the potential and vortical flow past a sphere, for which an analytical solution and the commonly used method of images are available. This is then followed by a second example of potential flow past a compliant wall including a check on leakage proving the numerical procedure to be effective. Finally, the newly developed algorithm is also tested against the method of images when conducting vortex flow calculations over a flat plate. Numerical results demonstrating the versatility of the method are presented when studying near- wall turbulence and show good agreement with experimental observations.
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ISSN:0955-7997
DOI:10.1016/j.enganabound.2004.04.001