TY - JOUR

T1 - Topology optimization of Channel flow problems

AU - Gersborg-Hansen, Allan

AU - Sigmund, Ole

AU - Haber, R. B.

PY - 2005

Y1 - 2005

N2 - This paper describes a topology design method for simple
two-dimensional flow problems. We consider steady, incompressible laminar viscous flows at low to moderate Reynolds numbers. This makes the flow problem non-linear and hence a non-trivial extension of the work of [Borrvall&Petersson 2002]. Further, the inclusion of inertia effects significantly alters the physics, enabling
solutions of new classes of optimization problems, such as
velocity--driven switches, that are not addressed by the earlier method. Specifically, we determine optimal layouts of channel flows that extremize a cost function which measures either some local aspect of the velocity field or a global quantity, such as the rate of energy dissipation. We use the finite element method to model the flow, and we solve the optimization problem with a gradient-based math-programming algorithm that is driven by analytical sensitivities. Our target application is optimal layout
design of channels in fluid network systems. Using concepts
borrowed from topology optimization of compliant mechanisms in solid mechanics, we introduce a method for the synthesis of fluidic components, such as switches, diodes, etc.

AB - This paper describes a topology design method for simple
two-dimensional flow problems. We consider steady, incompressible laminar viscous flows at low to moderate Reynolds numbers. This makes the flow problem non-linear and hence a non-trivial extension of the work of [Borrvall&Petersson 2002]. Further, the inclusion of inertia effects significantly alters the physics, enabling
solutions of new classes of optimization problems, such as
velocity--driven switches, that are not addressed by the earlier method. Specifically, we determine optimal layouts of channel flows that extremize a cost function which measures either some local aspect of the velocity field or a global quantity, such as the rate of energy dissipation. We use the finite element method to model the flow, and we solve the optimization problem with a gradient-based math-programming algorithm that is driven by analytical sensitivities. Our target application is optimal layout
design of channels in fluid network systems. Using concepts
borrowed from topology optimization of compliant mechanisms in solid mechanics, we introduce a method for the synthesis of fluidic components, such as switches, diodes, etc.

KW - Viscous flow, topology optimization, finite element method, sensitivity analysis, FEMLAB

U2 - 10.1007/s00158-004-0508-7

DO - 10.1007/s00158-004-0508-7

M3 - Journal article

VL - 30

SP - 181

EP - 192

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 3

ER -