Traction open boundary condition for incompressible, turbulent, single- or multi-phase flows, and surface wave simulations

In simulations, artificial boundaries need to be introduced limit the size of computational domains and thereby lower cost. At these boundaries, flow variables calculated in a way that will not induce any perturbation interior solution, which poses great challenge incompressible flows. this paper, we demonstrate potential new traction open boundary condition address classical problems encountered simulations with conditions: backflow instability, wave reflections, confinement caused by proximity outlet. This novel treatment, based on Lagrangian estimation outlet section coupled stabilization term, is shown provide accuracy stability for turbulent, single- or multi-phase flows, test cases. Using simulation surface gravity waves, show if special care given computation estimated traction, it possible get fully non-reflective condition.