2019/01/24 by Fran鏾is Bouchon, Bouchon, François, Thierry Dubois +3
Computer Science · Engineering · #Analysis of PDEs (math.AP) #Computational Geometry and Mesh Generation #Computational Physics (physics.comp-ph) #Computer Graphics and Visualization Techniques #Evacuation and Crowd Dynamics #FOS: Mathematics #FOS: Physical sciences
paper · pdf · doi:10.48550/arxiv.1901.08303
openalex publication_date 2019/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a cut-cell method for the simulation of 2D incompressible flows\npast obstacles. It consists in using the MAC scheme on cartesian grids and\nimposing Dirchlet boundary conditions for the velocity field on the boundary of\nsolid structures following the Shortley-Weller formulation. In order to ensure\nlocal conservation properties, viscous and convecting terms are discretized in\na finite volume way. The scheme is second order implicit in time for the linear\npart, the linear systems are solved by the use of the capacitance matrix method\nfor non-moving obstacles. Numerical results of flows around an impulsively\nstarted circular cylinder are presented which confirm the efficiency of the\nmethod, for Reynolds numbers 1000 and 3000. An example of flows around a moving\nrigid body at Reynolds number 800 is also shown, a solver using the\nPETSc-Library has been prefered in this context to solve the linear systems.\n