Abstract
We perform a comparison study of two topology optimizations methods applied to the design of a two fluids heat exchanger modeled with a coupled thermal-flow problem. The flow follows an isothermal and
incompressible Stokes-Brinkman equation and the heat transfer is governed by a convection-diffusion
equation without internal generation and high Peclet number. To keep the two fluid phases separated, we solve two Stokes-Brinkman equations, where the Brinkman term models the other phase as a solid. These two velocity fields are then fed to the heat transfer equation. Our goal is to maximize the enthalpy at the cold outlet while constraining the pressure drop. We first solve the design modeling the solid and fluid phases with a volume fraction variable. A SIMP-like penalization in the Brinkman term drives the optimization to a discrete design. The cost and constraint function
derivatives are calculated with the library pyadjoint and the optimization is performed by IPOPT. We present optimized designs in two dimensions and discuss the influence of the parameters.
- Developers:
-
Beck, Victor [1] ; SALAZAR DE TROYA, Miguel [1]
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Release Date:
- 2020-07-21
- Project Type:
- Open Source, Publicly Available Repository
- Software Type:
- Scientific
- Licenses:
-
MIT License
- Sponsoring Org.:
-
USDOE National Nuclear Security Administration (NNSA)Primary Award/Contract Number:AC52-07NA27344
- Code ID:
- 50711
- Site Accession Number:
- LLNL-CODE- 817119
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Country of Origin:
- United States
Citation Formats
Beck, Victor A., and SALAZAR DE TROYA, Miguel.
Two dimensional topology optimization of heat exchangers with the volume fraction method.
Computer Software.
https://github.com/LLNL/2DHEVF.
USDOE National Nuclear Security Administration (NNSA).
21 Jul. 2020.
Web.
doi:10.11578/dc.20210203.2.
Beck, Victor A., & SALAZAR DE TROYA, Miguel.
(2020, July 21).
Two dimensional topology optimization of heat exchangers with the volume fraction method.
[Computer software].
https://github.com/LLNL/2DHEVF.
https://doi.org/10.11578/dc.20210203.2.
Beck, Victor A., and SALAZAR DE TROYA, Miguel.
"Two dimensional topology optimization of heat exchangers with the volume fraction method." Computer software.
July 21, 2020.
https://github.com/LLNL/2DHEVF.
https://doi.org/10.11578/dc.20210203.2.
@misc{
doecode_50711,
title = {Two dimensional topology optimization of heat exchangers with the volume fraction method},
author = {Beck, Victor A. and SALAZAR DE TROYA, Miguel},
abstractNote = {We perform a comparison study of two topology optimizations methods applied to the design of a two fluids heat exchanger modeled with a coupled thermal-flow problem. The flow follows an isothermal and
incompressible Stokes-Brinkman equation and the heat transfer is governed by a convection-diffusion
equation without internal generation and high Peclet number. To keep the two fluid phases separated, we solve two Stokes-Brinkman equations, where the Brinkman term models the other phase as a solid. These two velocity fields are then fed to the heat transfer equation. Our goal is to maximize the enthalpy at the cold outlet while constraining the pressure drop. We first solve the design modeling the solid and fluid phases with a volume fraction variable. A SIMP-like penalization in the Brinkman term drives the optimization to a discrete design. The cost and constraint function
derivatives are calculated with the library pyadjoint and the optimization is performed by IPOPT. We present optimized designs in two dimensions and discuss the influence of the parameters.
},
doi = {10.11578/dc.20210203.2},
url = {https://doi.org/10.11578/dc.20210203.2},
howpublished = {[Computer Software] \url{https://doi.org/10.11578/dc.20210203.2}},
year = {2020},
month = {jul}
}