Jacek Szumbarski i Jakub Gałecki, ZA MEiL PW, Numerical simulation of internal incompressible flows with nonlinear dissipative inlet/outlet conditions

The topic of the presentation is numerical modeling of incompressible viscous fluid flows in multi-inlet/outlet conduit systems. A new formulation of dissipative boundary conditions taking into account nonlinear effects is presented. A numerical method has been proposed that allows for setting a condition at each inlet/outlet that predefines either the time history of the volumetric flow rate or the average pressure. The construction of the solution is based on the superposition of appropriately defined Stokes solutions. The advective nonlinearity problem was solved using the Operator-Integration-Factor-Splitting technique. An extrapolation method is used for the nonlinearity associated with boundary conditions. The results of validation based on the comparison of the calculation results with the analytical solution and the results of the simulation of the 2D transient flow in a system with four inlets/outlets are presented.