Polygonal finite elements for incompressible fluid flow (pages 134–151)
Cameron Talischi, Anderson Pereira, Glaucio H. Paulino, Ivan F.M. Menezes and Márcio S. Carvalho
Article first published online: 25 OCT 2013 | DOI: 10.1002/fld.3843
We present a low-order mixed finite element formulation for incompressible flow simulations on convex polygonal meshes that satisfies the inf-sup condition. As such, the method does not admit spurious pressure modes or exhibit locking. From a practical point of view, its implementation is classical and does not require any special treatment. Numerical results are presented for both incompressible Stokes and stationary Navier–Stokes problems to confirm the stability and convergence of the method.