Topology Optimization of Navier-stokes Flow in Microfluidics
نویسندگان
چکیده
We study how the inertial term in the steady state Navier-Stokes flow can drive transitions in the optimal topology of a microfluidic network. Our method is a generalization of the work by Borrvall and Petersson on topology optimization of fluids in Stokes flow [Int. J. Num. Meth. Fluids 41, 77 (2003)]. We state the Navier-Stokes flow problem in a generic divergence form that allows the problem to be solved using of the commercial finite element software package Femlab. Moreover we show how Femlab can be used as a high-level programming language that allows a wide range of optimization objectives to be easily dealt with.
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