Boundary conditions for a divergence free velocitypressure formulation of the NavierStokes equations
New sets of boundary conditions for the velocitypressure formulation of the incompressible NavierStokes equations are derived. The boundary conditions have the same form on both inflow and outflow boundaries and lead to a divergence free solution. Moreover, the specific form of the boundary condition makes it possible derive a symmetric positive definite equation system for the internal pressure. Numerical experiments support the theoretical conclusions.
boundary conditions divergence navierstokes incompressible flow