A new face-oriented stabilized XFEM approach for 2D and 3D incompressible NavierStokes equations
A new stabilized XFEM based fixed-grid Nitsche type fluid formulation is proposed. The method flexibly handles several DOFs for complex shaped embedded meshes. Face-oriented fluid and ghost-penalty stabilizations improve robustness and accuracy. A good system-conditioning for viscous and convection dominated flows is ensured. Numerical analyses including parameter studies and simulation results are given.
face-oriented stabilization navierstokes equations ghost penalty nitsches method extended finite element method fictitious domain method