Abstract
The present method employs a pressure Poisson formulation that has the unique capability of satisfying the discrete continuity equation exactly while producing smooth pressure on nonstaggered grids. A fourth-order accurate discretization is employed for the pressure gradient operator in both the momentum equation and the pressure Poisson equation. The use of higher-order accurate approximations for the pressure derivatives results in the enlargement of Laplace operator, which incorporates both odd and even grid points and thus spatially couples the pressure field. The numerical solutions are compared to solutions obtained from the classic pressure Poisson approach, which uses artificial dissipation to couple the pressure field, as well as benchmark results of a stream function-vorticity formulation (which automatically produces dilatation-free solutions).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
