Abstract
When the Navier–Stokes equations are solved on a colocated mesh, a spurious mode for the pressure can appear if no special attention is paid to the discretization of the pressure. This pressure mode can be suppressed by a pressure-weighted interpolation formula for the mass flux over a cell-face. In this paper, a similar cure is presented in the framework of pressure-correction methods in variable density flow. Special attention is given to the solvability condition for the resulting Poisson-like equation for the pressure. It consists of two remedies: a correction term for the cell-face velocity is introduced and the stencil for the discrete Laplacian is compacted. We finally show the applicability of the method on general curvilinear coordinate systems in three dimensions.
Sign-in/Register to access full text options 
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.
