
Summary: We design an artificial boundary condition for the steady incompressible Navier-Stokes equations in streamfunction-vorticity formulation in a flat channel with slip boundary conditions on the wall. The new boundary condition is derived from the Oseen equations the method of lines. A numerical experiment for the nonlinear Navier-Stokes equations is presented. The artificial boundary condition is compared with Dirichlet and Neumann boundary conditions for the flow past a rectangular cylinder in a flat channel. The numerical results show that our boundary condition is more accurate.
slip boundary conditions, Oseen equations, Other numerical methods (fluid mechanics), Method of lines for boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, streamfunction-vorticity formulation, flat channel, flow past rectangular cylinder
slip boundary conditions, Oseen equations, Other numerical methods (fluid mechanics), Method of lines for boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, streamfunction-vorticity formulation, flat channel, flow past rectangular cylinder
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