2005/05/27 by Markus Uhlmann · 1,676 citations
Engineering · Mathematics · Physics and Astronomy · #Boundary (topology) #Compressibility #Context (archaeology) #Cylinder #Dirac delta function #Eulerian path #Finite element method #Flow (mathematics) #Fluid Dynamics and Vibration Analysis #Fluid–structure interaction #Forcing (mathematics) #Geology #Geometry #Grid #Immersed boundary method #Lagrangian #Lattice Boltzmann Simulation Studies #Mathematical analysis #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Sedimentation #physics.comp-ph #physics.flu-dyn
paper · pdf · doi:10.1016/j.jcp.2005.03.017
published in Journal of Computational Physics 209(2), 448-476 (Elsevier BV)
openalex publication_date 2005/05/27 · openalex created_date 2016/06/24 · arxiv created 2018/09/21 · arxiv updated 2018/09/24 · openalex updated_date 2026/08/05
We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta Numerica 11 (2002) 1] into a direct formulation of the fluid-solid interaction force in order to allow for a smooth transfer between Eulerian and Lagrangian representations while at the same time avoiding strong restrictions of the time step. This technique was implemented in a finite-difference and fractional-step context. A variety of two- and three-dimensional simulations are presented, ranging from the flow around a single cylinder to the sedimentation of 1000 spherical particles. The accuracy and efficiency of the current method are clearly demonstrated.