Topology optimization of fluids in Stokes flow

• Published in: International journal for numerical methods in fluids Vol. 41; no. 1; pp. 77 - 107
• Main Authors: Borrvall, Thomas, Petersson, Joakim
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.01.2003; Wiley
• Subjects: Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Laminar flows; Low-reynolds-number (creeping) flows; Physics; TECHNOLOGY; TEKNIKVETENSKAP; Geometrical shape; Computational fluid dynamics; Digital simulation; Pipe bend; Conjugate gradient methods; Topology; Optimization; Optimal design; Finite element method; Diffusers; Branching pipe; Numerical convergence; Stokes flow

We consider topology optimization of fluids in Stokes flow. The design objective is to minimize a power function, which for the absence of body fluid forces is the dissipated power in the fluid, subject to a fluid volume constraint. A generalized Stokes problem is derived that is used as a base for...