NDLI: A novel non-primitive Boundary Integral Equation Method for three-dimensional and axisymmetric Stokes flows

Content Provider	Springer Nature Link
Author	Singh, Jitendra Glière, Alain Achard, Jean Luc
Copyright Year	2012
Abstract	A new Boundary Integral Equation (BIE) formulation for Stokes flow is presented for three-dimensional and axisymmetrical problems using non-primitive variables, assuming velocity field is prescribed on the boundary. The formulation involves the vector potential, instead of the classical stream function, and all three components of the vorticity are implied. Furthermore, following the Helmholtz decomposition, a scalar potential is added to represent the solenoidal velocity field. Firstly, the BIEs for three-dimensional flows are formulated for the vector potential and the vorticity by employing the fundamental solutions in free space of vector Laplace and biharmonic equations. The equations for axisymmetric flows are then derived from the three-dimensional formulation in a second step. The outcome is a domain integral free BIE formulation for both three-dimensional and axisymmetric Stokes flows with prescribed velocity boundary condition. Numerical results are included to validate and show the efficiency of the proposed axisymmetric formulation.
Starting Page	2013
Ending Page	2026
Page Count	14
File Format	PDF
ISSN	00256455
Journal	Meccanica
Volume Number	47
Issue Number	8
e-ISSN	15729648
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-07-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Boundary Integral Equation Stokes flow Non-primitive variables Three-dimensional problems Axisymmetric problems Civil Engineering Automotive Engineering Mechanics Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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