This study focused on simulating incompressible viscous flow using the finite element method. used velocity and pressure as unknowns known primitive variable formulations. Simulation of fluid poses numerical challenges due to presence nonlinear convective terms in Navier-Stokes equations nature fluid. If connection between velocities is not discretized correctly, stable convergent might be gain...

This article presents the heat and mass transfer characteristics of unsteady MHD flow of a viscous, incompressible and electrically conducting micropolar fluid in the presence of viscous dissipation and radiation over a porous stretching sheet with chemical reaction. The governing partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) by applying suitable si...

We study Soret-Dufour and radiation effects on unsteady viscous incompressible MHD flow along semi infinite inclined permeable moving plate with variable temperature and mass diffusion embedded in a porous medium numerically, by taking into account the effect of viscous dissipation. The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference me...

We have developed advanced numerical algorithms to model biological fluids in multiscale flow environments using the software framework developed under the SciDAC APDEC ISIC. The foundation of our computational effort is an approach for modeling DNAladen fluids as “bead-rod” polymers whose dynamics are fully coupled to an incompressible viscous solvent. The method is capable of modeling short r...