Simulation of incompressible viscous flow using finite element method

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 gained, but obtained will oscillatory. To avoid these difficulties, continuous quadratic additional cubic bubble functions for field linear field. kind discretization satisfies Ladyzhenskaya-Babuška-Brezzi (LBB) stability condition. Two cases different Reynolds numbers were test formulation's effectiveness. In case number 0.12, no vortices formed, suggesting that primarily governed by friction, inertia has minimal effect. 120, vortex formation, which Von Kármán street, appeared. These results concluded formulation method correct.