Solving the fluid flow problems with boundary domain integral method

Abstract

© 2019 IOP Publishing Ltd. The boundary-domain integral method with the analytical integrals over the individual boundaries and internal cells for the solving the boundary value problems of fluid flow problems is developed. The axisymmetric potential flow of an incompressible fluid around a sphere, the fluid flow in a porous medium with spatially inhomogeneous permeability and the problem of convective-diffusive transport of a gas suspension in a periodic cell are calculated The comparison of the numerical results with analytical solutions show the efficiency and good accuracy of the developed boundary-domain integral method.