Large scale threedimensional topology optimisation of heat sinks cooled by natural convection
Abstract
This work presents the application of densitybased topology optimisation to the design of threedimensional heat sinks cooled by natural convection. The governing equations are the steadystate incompressible NavierStokes equations coupled to the thermal convectiondiffusion equation through the Bousinessq approximation. The fully coupled nonlinear multiphysics system is solved using stabilised trilinear equalorder finite elements in a parallel framework allowing for the optimisation of large scale problems with order of 40330 million state degrees of freedom. The flow is assumed to be laminar and several optimised designs are presented for Grashof numbers between $10^3$ and $10^6$. Interestingly, it is observed that the number of branches in the optimised design increases with increasing Grashof numbers, which is opposite to twodimensional optimised designs.
 Publication:

arXiv eprints
 Pub Date:
 August 2015
 DOI:
 10.48550/arXiv.1508.04596
 arXiv:
 arXiv:1508.04596
 Bibcode:
 2015arXiv150804596A
 Keywords:

 Physics  Fluid Dynamics;
 Computer Science  Computational Engineering;
 Finance;
 and Science
 EPrint:
 Submitted (18th of August 2015)