The paper presents an approach for the analysis of low-velocity two and three-dimensional transient fluid-flow problems. The method assumes the continuum can be represented by a latticework of piping elements and that motion in the continuum can be described by solving the one-dimensional transient flow equations in the piping elements. The approach offers the advantage of being able to handle unusual and irregular boundary conditions, fixed or moveable, but restricted to the limitation of low Mach number. Undesirable grid characteristics are identified and comparisons with known hydrodynamic solutions are presented.
Mass balance errors when solving the convective form of the transport equation in transient flow problems