Topology optimisation of natural convection problems

Joe Alexandersen, Niels Aage, Casper Schousboe Andreasen, Ole Sigmund

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

671 Downloads (Pure)

Resumé

This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state laminar flow using the incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation. In order to facilitate topology optimisation, the Brinkman approach is taken to penalise velocities inside the solid domain and the effective thermal conductivity is interpolated in order to accommodate differences in thermal conductivity of the solid and fluid phases. The governing equations are discretised using stabilised finite elements and topology optimisation is performed for two different problems using discrete adjoint sensitivity analysis. The study shows that topology optimisation is a viable approach for designing heat sink geometries cooled by natural convection and micropumps powered by natural convection. Copyright © 2013 John Wiley & Sons, Ltd.
OriginalsprogEngelsk
TidsskriftInternational Journal for Numerical Methods in Fluids
Vol/bind76
Udgave nummer10
Sider (fra-til)699-721
ISSN0271-2091
DOI
StatusUdgivet - 2014
Udgivet eksterntJa

Fingeraftryk

Topology Optimization
Natural Convection
Shape optimization
Natural convection
Heat sinks
Thermal Conductivity
Thermal conductivity
Heat
Stabilized Finite Elements
Boussinesq Approximation
Effective Conductivity
Convection-diffusion Equation
Incompressible Navier-Stokes Equations
Laminar Flow
Laminar flow
Navier Stokes equations
Sensitivity analysis
Sensitivity Analysis
Governing equation
Fluid

Citer dette

Alexandersen, Joe ; Aage, Niels ; Andreasen, Casper Schousboe ; Sigmund, Ole. / Topology optimisation of natural convection problems. I: International Journal for Numerical Methods in Fluids. 2014 ; Bind 76, Nr. 10. s. 699-721.
@article{608f83bceb8c4e06a1c97693aff6d074,
title = "Topology optimisation of natural convection problems",
abstract = "This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state laminar flow using the incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation. In order to facilitate topology optimisation, the Brinkman approach is taken to penalise velocities inside the solid domain and the effective thermal conductivity is interpolated in order to accommodate differences in thermal conductivity of the solid and fluid phases. The governing equations are discretised using stabilised finite elements and topology optimisation is performed for two different problems using discrete adjoint sensitivity analysis. The study shows that topology optimisation is a viable approach for designing heat sink geometries cooled by natural convection and micropumps powered by natural convection. Copyright {\circledC} 2013 John Wiley & Sons, Ltd.",
author = "Joe Alexandersen and Niels Aage and Andreasen, {Casper Schousboe} and Ole Sigmund",
year = "2014",
doi = "10.1002/fld.3954",
language = "English",
volume = "76",
pages = "699--721",
journal = "International Journal for Numerical Methods in Fluids",
issn = "0271-2091",
publisher = "JohnWiley & Sons Ltd.",
number = "10",

}

Topology optimisation of natural convection problems. / Alexandersen, Joe; Aage, Niels; Andreasen, Casper Schousboe; Sigmund, Ole.

I: International Journal for Numerical Methods in Fluids, Bind 76, Nr. 10, 2014, s. 699-721.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Topology optimisation of natural convection problems

AU - Alexandersen, Joe

AU - Aage, Niels

AU - Andreasen, Casper Schousboe

AU - Sigmund, Ole

PY - 2014

Y1 - 2014

N2 - This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state laminar flow using the incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation. In order to facilitate topology optimisation, the Brinkman approach is taken to penalise velocities inside the solid domain and the effective thermal conductivity is interpolated in order to accommodate differences in thermal conductivity of the solid and fluid phases. The governing equations are discretised using stabilised finite elements and topology optimisation is performed for two different problems using discrete adjoint sensitivity analysis. The study shows that topology optimisation is a viable approach for designing heat sink geometries cooled by natural convection and micropumps powered by natural convection. Copyright © 2013 John Wiley & Sons, Ltd.

AB - This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state laminar flow using the incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation. In order to facilitate topology optimisation, the Brinkman approach is taken to penalise velocities inside the solid domain and the effective thermal conductivity is interpolated in order to accommodate differences in thermal conductivity of the solid and fluid phases. The governing equations are discretised using stabilised finite elements and topology optimisation is performed for two different problems using discrete adjoint sensitivity analysis. The study shows that topology optimisation is a viable approach for designing heat sink geometries cooled by natural convection and micropumps powered by natural convection. Copyright © 2013 John Wiley & Sons, Ltd.

U2 - 10.1002/fld.3954

DO - 10.1002/fld.3954

M3 - Journal article

VL - 76

SP - 699

EP - 721

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 10

ER -