Da, D., Xia, L., Li, G., and Huang, X.: Evolutionary topology optimization
of continuum structures with smooth boundary representation, Struct. Multidiscip. O., 57, 2143–2159, https://doi.org/10.1007/s00158-017-1846-6, 2018.
Deaton, J. D. and Grandhi, R. V.: Stress-based design of thermal structures
via topology optimization, Struct. Multidiscip. O., 53, 253–270, https://doi.org/10.1007/s00158-015-1331-z, 2015.
Deb, K. and Srivastava, S.: A genetic algorithm based augmented Lagrangian
method for constrained optimization, Comput. Optim. Appl., 53, 869–902, https://doi.org/10.1007/s10589-012-9468-9, 2012.
Dede, E. M., Joshi, S. N., and Zhou, F.: Topology Optimization, Additive
Layer Manufacturing, and Experimental Testing of an Air-Cooled Heat Sink,
J. Mech. Design, 137, 111403, https://doi.org/10.1115/1.4030989, 2015.
Deshmukh, P. A. and Warkhedkar, R. M.: Thermal performance of elliptical pin
fin heat sink under combined natural and forced convection, Exp. Therm. Fluid Sci., 50, 61–68, https://doi.org/10.1016/j.expthermflusci.2013.05.005, 2013.
Fuchs, M. and Moses, E.: Optimal structural topologies with transmissible
loads, Struct. Multidiscip. O., 19, 263–273, https://doi.org/10.1007/s001580050123, 2000.
Gan, N. and Wang, Q.: Topology optimization of multiphase materials with
dynamic and static characteristics by BESO method, Adv. Eng. Softw., 151, 102928, https://doi.org/10.1016/j.advengsoft.2020.102928, 2021.
Ho Yoon, G. and Young Kim, Y.: The element connectivity parameterization
formulation for the topology design optimization of multiphysics systems,
Int. J. Numer. Meth. Eng., 64, 1649–1677, https://doi.org/10.1002/nme.1422, 2005.
Hu, X. J., Jain, A., and Goodson, K. E.: Investigation of the natural
convection boundary condition in microfabricated structures, Int. J. Therm. Sci., 47, 820–824, https://doi.org/10.1016/j.ijthermalsci.2007.07.011, 2008.
Huang, X. and Xie, Y. M.: Bi-directional evolutionary topology optimization
of continuum structures with one or multiple materials, Comput. Mech., 43, 393–401, https://doi.org/10.1007/s00466-008-0312-0, 2008.
Huang, X. and Xie, Y. M.: Evolutionary topology optimization of continuum
structures with an additional displacement constraint, Struct. Multidiscip. O., 40, 409–416, https://doi.org/10.1007/s00158-009-0382-4, 2009.
Huang, X. and Xie, Y.-M.: A further review of ESO type methods for topology
optimization, Struct. Multidiscip. O., 41, 671–683, https://doi.org/10.1007/s00158-010-0487-9, 2010.
Iga, A., Nishiwaki, S., Izui, K., and Yoshimura, M.: Topology optimization
for thermal conductors considering design-dependent effects, including heat
conduction and convection, Int. J. Heat Mass Tran., 52, 2721–2732, https://doi.org/10.1016/j.ijheatmasstransfer.2008.12.013, 2009.
Li, H., Kondoh, T., Jolivet, P., Furuta, K., Yamada, T., Zhu, B., Zhang, H.,
Izui, K., and Nishiwaki, S.: Optimum design and thermal modeling for 2D and
3D natural convection problems incorporating level set-based topology
optimization with body-fitted mesh, Int. J. Numer. Meth. Eng., 123, 1954–1990, https://doi.org/10.1002/nme.6923, 2022.
Palani, G. and Ganesan, P.: Heat transfer effects on dusty gas flow past
a semi-infinite inclined plate, Forsch. Ingenieurwes., 71, 223–230,
https://doi.org/10.1007/s10010-007-0061-9, 2007.
Pereira, R. L., Lopes, H. N., and Pavanello, R.: Topology optimization of
acoustic systems with a multiconstrained BESO approach, Finite Elem. Anal. Des., 201, 103701, https://doi.org/10.1016/j.finel.2021.103701, 2022.
Picelli, R., Vicente, W., and Pavanello, R.: Bi-directional evolutionary
structural optimization for design-dependent fluid pressure loading
problems, Eng. Optimiz., 47, 1324–1342, https://doi.org/10.1080/0305215X.2014.963069, 2015.
Picelli, R., Vicente, W. M., and Pavanello, R.: Evolutionary topology
optimization for structural compliance minimization considering
design-dependent FSI loads, Finite Elem. Anal. Des., 135, 44–55,
https://doi.org/10.1016/j.finel.2017.07.005, 2017.
Qiao, H., Wang, S., Zhao, T., and Tang, H.: Topology optimization for
lightweight cellular material and structure simultaneously by combining SIMP
with BESO, J. Mech. Sci. Technol., 33, 729–739,
https://doi.org/10.1007/s12206-019-0127-2, 2019.
Radman, A.: Combination of BESO and harmony search for topology optimization
of microstructures for materials, Appl. Math. Model., 90, 650–661, https://doi.org/10.1016/j.apm.2020.09.024, 2021.
Tavakoli, R. and Davami, P.: Optimal riser design in sand casting process by
topology optimization with SIMP method I: Poisson approximation of nonlinear
heat transfer equation, Struct. Multidiscip. O., 36, 193–202, https://doi.org/10.1007/s00158-007-0209-0, 2008.
Wah, B. W., Wang, T., Shang, Y., and Wu, Z.: Improving the performance of weighted Lagrange-multiplier methods for nonlinear constrained optimization,
Inform. Sciences, 124, 241–272, https://doi.org/10.1016/S0020-0255(99)00081-X, 2000.
Wang, C. and Qian, X.: A density gradient approach to topology optimization
under design-dependent boundary loading, J. Comput. Phys., 411, 109398, https://doi.org/10.1016/j.jcp.2020.109398, 2020.
Xia, Q., Shi, T., and Xia, L.: Topology optimization for heat conduction by
combining level set method and BESO method, Int. J. Heat Mass Tran., 127, 200–209, https://doi.org/10.1016/j.ijheatmasstransfer.2018.08.036, 2018.
Xu, B., Han, Y., Zhao, L., and Xie, Y. M.: Topological optimization of
continuum structures for additive manufacturing considering thin feature and
support structure constraints, Eng. Optimiz., 53, 2122–2143,
https://doi.org/10.1080/0305215x.2020.1849170, 2020.
Yan, X. Y., Liang, Y., and Cheng, G. D.: Discrete variable topology
optimization for simplified convective heat transfer via sequential
approximate integer programming with trust-region, Int. J. Numer. Meth. Eng., 122, 5844–5872, https://doi.org/10.1002/nme.6775, 2021.
Yang, X., Mühlenhoff, S., Nikrityuk, P. A., and Eckert, K.: The initial
transient of natural convection during copper electrolysis in the presence
of an opposing Lorentz force: Current dependence, Eur. Phys.
J.-Spec. Top., 220, 303–312, https://doi.org/10.1140/epjst/e2013-01815-2, 2013.
Yang, X. Y., Xie, Y. M., and Steven, G. P.: Evolutionary methods for
topology optimisation of continuous structures with design dependent loads,
Comput. Struct., 83, 956–963, https://doi.org/10.1016/j.compstruc.2004.10.011, 2005.
Yin, L. and Ananthasuresh, G. K.: A novel topology design scheme for the
multi-physics problems of electro-thermally actuated compliant
micromechanisms, Sensor. Actuat. A-Phys., 97–98, 599–609,
https://doi.org/10.1016/S0924-4247(01)00853-6, 2001.
Zhai, L., Fu, S., Lv, H., Zhang, C., and Wang, F.: Weighted Schatten
p-norm
minimization for 3D magnetic resonance images denoising, Brain Res. Bull.,
142, 270–280, https://doi.org/10.1016/j.brainresbull.2018.08.006, 2018.
Zhou, K. and Li, X.: Topology optimization for minimum compliance under
multiple loads based on continuous distribution of members, Struct. Multidiscip. O., 37, 49–56, https://doi.org/10.1007/s00158-007-0214-3, 2008.
Zhou, M., Alexandersen, J., Sigmund, O., and Pedersen, C. B. W.: Industrial
application of topology optimization for combined conductive and convective
heat transfer problems, Struct. Multidiscip. O., 54, 1045–1060, https://doi.org/10.1007/s00158-016-1433-2, 2016.
Zhu, J.-H., Zhang, W.-H., and Xia, L.: Topology Optimization in Aircraft and
Aerospace Structures Design, Arch. Comput. Method. E., 23, 595–622, https://doi.org/10.1007/s11831-015-9151-2, 2015.