Application of the Multi-Scale-Finite-Volume Method to the Simulation of Incompressible Flows with Immersed Boundaries

摘要

A second-order accurate numerical procedure is presented for the solution of the incompressible Navier-Stokes equations with immersed boundaries in the formulation proposed by Peller et al. [5]. In particular we derive exact constraints for the pressure at immersed solid walls and show that the resulting Poisson equation is formally identical to the elliptic problems governing flows in porous media. An efficient iterative procedure for the computation of the pressure is then obtained by adapting the iterative-multi-scale-finite-volume procedure by Hajibeygi et al. [2].