Y. Abousleiman et Ahd. Cheng, BOUNDARY-ELEMENT SOLUTION FOR STEADY AND UNSTEADY STOKES-FLOW, Computer methods in applied mechanics and engineering, 117(1-2), 1994, pp. 1-13
This paper represents a boundary element formulation for steady and un
steady slow viscous flow of incompressible Newtonian fluid. The steady
flow completely ignores the inertial effect, while the unsteady flow
retains the local acceleration term. The boundary integral equations a
nd fundamental solutions are presented in two and three dimensions. A
Laplace transform and numerical inversion approach is used for the uns
teady problem. Two-dimensional internal flow problems are solved to il
lustrate the capability of the developed algorithms.