This article aims to introducenumerical study of two different incompressible Newtonian fluid flows. The first type flow is through the straight channel, while second enclosed within a square cavity and moved by upper plate at specific velocity. Numerically, Taylor-Galerkin\ pressure-correction finite element method (TGPCFEM) chosen address relevant governing equations. Naiver-Stoke partial dif...

In this paper, we discuss the numerical treatment of three-dimensional mixture models for (semi-)dilute and concentrated suspensions of particles in incompressible fluids. The generalized Navier-Stokes system and the continuity equation for the volume fraction of the disperse phase are discretized using an implicit high-resolution finite element scheme, and maximum principles are enforced using...