Abstract
This paper presents a numerical method for solving the steady-state Navier–Stokes equations for incompressible fluid flows using velocities and vorticity as working variables. The method involves solving a second-order differential equation for the velocity and a convection–diffusion equation for the vorticity in Cartesian grids. The key to the success of the numerical simulation of this class of flow equations depends largely on proper simulation of vorticity transport equation subject to proper boundary vorticity. In this paper, we present a monotonic advection–diffusion multi-dimensional scheme and a theoretically rigorous implementation of vorticity boundary conditions. While the derivation of the proposed integral vorticity boundary condition is more elaborate and is more difficult to solve than conventional local approaches, the present approach offers significant advantages. In this study, both lid-driven and backward-facing step problems have been selected for comparison and validation purposes.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.