arises in many problems in physics, medicine, and engineering, where the relative motion between particles and fluid is extensively studied, either theoretically or experimentally.
Among specific topics are modeling plasma flow with particle classes for different charge carriers and neutral particles, particle interactions in oscillatory Stokes flow
, global eigenmodes of free-interface vertical liquid sheet flows, horizontal air-water flow pattern recognition, and pore-scale observation of surfactant flooding for weakly water-wet porous media.
It describes classical theories in BEM formulations and the recent development of the fast multipole method, and covers potential, elastostatic, Stokes flow
, and acoustic wave problems in two and three-dimensional domains, with exercises and computer source codes.
Some of the problems considered come from ground-water flow applications [5, 6, 11, 16, 23, 25], Stokes flow
[9, 26, 24, 14, 10], elasticity [15, 2, 18, 8, 20], magnetostatics [21, 22] etc.
Instead of using the Hele-Shaw formulation, we employ three-dimensional (3D) Stokes flow
equations to express viscous flow under isothermal conditions, as below:
Higdon, Oscillatory stokes flow
in periodic porous media, Phys.
The 11 papers consider such topics as the development of the immersed finite element method, a regularization method for the numerical solution of doubly-periodic Stokes flow
, motions of filaments with planar and helical bending waves in a viscous fluid, a numerical study of scaling effects in peristalsis and dynamic suction pumping, and impacts of facilitated urea transporters on the urine-concentration mechanisms in the rat kidney.
Instead of using the Hele-Shaw formulation, in this work, the Stokes flow
equations for an inertia-free, viscous, incompressible flow under isothermal conditions  have been used.
The topics include an adaptive element subdivision technique for evaluating three-dimensional singular boundary integrals, a meshless stress analysis of non-homogeneous materials using the triple-reciprocity boundary element method, reconstructing the eddy current profile on the vacuum vessel in a nuclear fusion device using only external magnetic sensor signals, a generalization of Michell's solution to the plane problem theory of elasticity in polar coordinates in the event of a radially inhomogeneous body, and the indirect boundary element method for the two-dimensional pressure-driven and gravity-driven free surface Stokes flow
Such is the case for Stokes flow
, the purely viscous flow of Newtonian liquid.
Assuming Stokes flow
, we calculated the steady flow distribution for the condition of a parabolic inlet flow velocity whose maximum is 1 mm/s at the center.
s] these rates have reached their limit values corresponding to Stokes flow