Immersed Boundary Method Application as a Way to Deal with the Three-Dimensional Sudden Contraction

• DOI: 10.3390/computation6030050
• Publication Date: 2018-09-07T15:47:41Z
• Authors: Jonatas E. Borges; Marcos Lourenço; Elie L. M. Padilla; Christopher Micallef
• Keywords: Regular grid; Temporal discretization; Immersed Boundary Method

The immersed boundary method has attracted considerable interest in the last few years. is a computational cheap alternative to represent boundaries of geometrically complex body, while using cartesian mesh, by adding force term momentum equation. advantage this that bodies any arbitrary shape can be added without grid restructuring, procedure which often time-consuming. Furthermore, multiple may simulated, and relative motion those accomplished at reasonable cost. numerical platform development parallel distributed-memory implementation solve Navier-Stokes equations. Finite Volume Method used spatial discretization where diffusive terms are approximated central difference method. temporal Adams-Bashforth Both discretizations second-order accurate. Velocity-pressure coupling done fractional-step two steps. present work applies simulate Newtonian laminar flow through three-dimensional sudden contraction. Results compared published literature. Flow patterns upstream downstream contraction region analysed various Reynolds number range 44 ≤ R e D 993 for large tube 87 1956 small tube, considerating ratio β = 1.97 . Comparison between experimental velocity profiles shown good agreement.