Weak versus strong wall boundary conditions for the incompressible navier-stokes equations

HIGHLIGHTS

• who: Gustav Eriksson from the A high-order SBP finite difference method is developed for the velocity-pressure formulation of the incompressible Navier-Stokes equationsTwo boundary procedures for imposing Dirichlet boundary conditions are presented based on the projection and SAT methods. The resulting schemes are proven to be stable using the energy method. Furthermore, new optimal second-derivative SBP operators are derived and shown to be highly efficient compared to traditional SBP operators. The methods are evaluated on three benchmark problems: the Taylor-Green vortex flow, the lid-driven cavity and the backwards-facing step. The accuracy . . .
  

   

  

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