Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape
Yu.A. Itkulova · Proceedings of the Mavlyutov Institute of Mechanics · 2012
In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.