On the effect of fluid-structure interactions and choice of algorithm in multi-physics topology optimisation

Finite Elements in Analysis and Design - Tập 145 - Trang 32-54 - 2018
David J. Munk1, Timoleon Kipouros2, Gareth A. Vio1, Geoffrey T. Parks2, Grant P. Steven1
1The University of Sydney, Sydney, 2006, Australia
2University of Cambridge, Cambridge, CB2 1PZ, United Kingdom

Tài liệu tham khảo

Munk, 2015, Topology and shape optimization methods using evolutionary algorithms: a review, Struct. Multidiscip. Optim., 52, 613, 10.1007/s00158-015-1261-9 Bendsøe, 1988, Generating optimal topologies in structural design using a homogenization method, Comput. Meth. Appl. Mech. Eng., 71, 197, 10.1016/0045-7825(88)90086-2 Duhring, 2008, Acoustic design by topology optimization, J. Sound Vib., 317, 557, 10.1016/j.jsv.2008.03.042 Sigmund, 2001, Design of multiphysics actuators using topology optimization - part I: one-material structures, Comput. Meth. Appl. Mech. Eng., 190, 6577, 10.1016/S0045-7825(01)00251-1 Steven, 2000, Evolutionary topology and shape design for general physical field problems, Comput. Mech., 26, 129, 10.1007/s004660000160 Munk, 2017, Topology optimisation of micro fluidic mixers considering fluid-structure interactions with a coupled Lattice Boltzmann algorithm, J. Comput. Phys., 349, 11, 10.1016/j.jcp.2017.08.008 Picelli, 2015, Bi-directional evolutionary structural optimization for design-dependent fluid pressure loading problems, Eng. Optim., 47, 1324, 10.1080/0305215X.2014.963069 Deaton, 2014, A survey of structural and multidisciplinary continuum topology optimization, Struct. Multidiscip. Optim., 49, 1, 10.1007/s00158-013-0956-z Eschenauer, 2001, Topology optimization of continuum structures: a review, Appl. Mech. Rev., 54, 331, 10.1115/1.1388075 Sigmund, 2013, Topology optimization approaches, Struct. Multidiscip. Optim., 48, 1031, 10.1007/s00158-013-0978-6 Rozvany, 1992, Generalized shape optimization without homogenization, Struct. Optim., 4, 250, 10.1007/BF01742754 Hammer, 2000, Topology optimization of continuum structures subjected to pressure loading, Struct. Multidiscip. Optim., 19, 85, 10.1007/s001580050088 Du, 2004, Topological optimization of continuum structures with design-dependent surface loading - part I: new computational approach for 2D problems, Struct. Multidiscip. Optim., 27, 151, 10.1007/s00158-004-0379-y Du, 2004, Topological optimization of continuum structures with design-dependent surface loading - part II: algorithms and examples for 3D problems, Struct. Multidiscip. Optim., 27, 166, 10.1007/s00158-004-0380-5 Fuchs, 2004, Density-based topological design of structures subjected to water pressure using a parametric loading surface, Struct. Multidiscip. Optim., 28, 11, 10.1007/s00158-004-0406-z Lee, 2012, Structural topology optimization with design-dependent pressure loads, Comput. Meth. Appl. Mech. Eng., 233–236, 40, 10.1016/j.cma.2012.04.007 Gao, 2009, Topology optimization of multiphase material structures under design dependent pressure loads, Int. J. Simul. Multidiscip. Des. Optim., 3, 297, 10.1051/ijsmdo/2009002 Zhang, 2008, A new boundary search scheme for topology optimization of continuum structures with design dependent loads, Struct. Multidiscip. Optim., 37, 121, 10.1007/s00158-007-0221-4 Chen, 2001, Topology optimization with design-dependent loads, Finite Elem. Anal. Des., 37, 57, 10.1016/S0168-874X(00)00021-4 Zheng, 2009, Topology optimization with design-dependent pressure loading, Struct. Multidiscip. Optim., 38, 535, 10.1007/s00158-008-0317-5 Bourdin, 2003, Design-dependent loads in topology optimization, ESAIM Control Optim. Calc. Var., 9, 19, 10.1051/cocv:2002070 Sigmund, 2007, Topology optimization using a mixed formulation: an alternative way to solve pressure load problems, Comput. Meth. Appl. Mech. Eng., 196, 1874, 10.1016/j.cma.2006.09.021 Bruggi, 2009, An alternative truly-mixed formulation to solve pressure load problems in topology optimization, Comput. Meth. Appl. Mech. Eng., 198, 1500, 10.1016/j.cma.2008.12.009 Andreasen, 2013, Topology optimization of fluid-structure interaction problems in poroelasticity, Comput. Meth. Appl. Mech. Eng., 258, 55, 10.1016/j.cma.2013.02.007 Rozvany, 2009, A critical review of established methods of structural topology optimization, Struct. Multidiscip. Optim., 37, 217, 10.1007/s00158-007-0217-0 Munk, 2017, A Bi-directional Evolutionary Structural Optimisation algorithm with an added connectivity constraint, Finite Elem. Anal. Des., 131, 25, 10.1016/j.finel.2017.03.005 Yang, 2005, Evolutionary methods for topology optimization of continuous structures with design dependent loads, Comput. Struct., 83, 956, 10.1016/j.compstruc.2004.10.011 Xie, 1993, A simple evolutionary procedure for structural optimization, Comput. Struct., 49, 885, 10.1016/0045-7949(93)90035-C Picelli, 2015, Evolutionary topology optimization for natural frequency maximization problems considering acoustic-structure interaction, Finite Elem. Anal. Des., 106, 56, 10.1016/j.finel.2015.07.010 Munk, 2018, Multiobjective and multi-physics topology optimization using an updated smart normal constraint bi-directional evolutionary structural optimization method, Struct. Multidiscip. Optim., 57, 665, 10.1007/s00158-017-1781-6 Allaire, 2004, Structural optimization using sensitivity analysis and a level-set method, J. Comput. Phys., 194, 363, 10.1016/j.jcp.2003.09.032 Liu, 2005, Structure topology optimization: fully coupled level set method via FEMLAB, Finite Elem. Anal. Des., 29, 407 Osher, 2001, Level set methods for optimization problems involving geometry and constraints, J. Comput. Phys., 171, 272, 10.1006/jcph.2001.6789 Sethian, 2000, Structural boundary design via level set and immersed interface methods, J. Comput. Phys., 163, 489, 10.1006/jcph.2000.6581 Jenkins, 2016, An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems, Struct. Multidiscip. Optim., 54, 1191, 10.1007/s00158-016-1467-5 Challis, 2009, Level set topology optimization of fluids in Stokes flow, Int. J. Numer. Meth. Eng., 79, 1284, 10.1002/nme.2616 Amstutz, 2006, A new algorithm for topology optimization using a level-set method, J. Comput. Phys., 216, 573, 10.1016/j.jcp.2005.12.015 Burger, 2004, Incorporating topological derivatives into level set methods, J. Comput. Phys., 194, 334, 10.1016/j.jcp.2003.09.033 Dunning, 2013, A new hole insertion method for level set based structural topology optimization, Int. J. Numer. Meth. Eng., 93, 118, 10.1002/nme.4384 He, 2007, Incorporating topological derivatives into shape derivatives based level set methods, J. Comput. Phys., 225, 891, 10.1016/j.jcp.2007.01.003 Zhou, 2008, A variational level set method for the topology optimization of steady-state Navier-Stokes flow, J. Comput. Phys., 227, 10178, 10.1016/j.jcp.2008.08.022 Succi, 2001 Wang, 2006, A moving superimposed finite element method for structural topology optimization, Int. J. Numer. Meth. Eng., 65, 1892, 10.1002/nme.1527 Chandrupatla, 1997 Borrvall, 2003, Topology optimization of fluids in Stokes flow, Int. J. Numer. Meth. Fluid., 41, 77, 10.1002/fld.426 Laniewski-Wollk, 2016, Adjoint lattice Boltzmann for topology optimization on multi-GPU architecture, Comput. Math. Appl., 71, 833, 10.1016/j.camwa.2015.12.043 Pan, 2006, An evaluation of lattice Boltzmann schemes for porous medium flow simulations, Comput. Fluids, 35, 898, 10.1016/j.compfluid.2005.03.008 Kreissl, 2010, Topology optimization of flexible micro-fluidic devices, Struct. Multidiscip. Optim., 42, 495, 10.1007/s00158-010-0526-6 Makhija, 2012, Topology optimization of multi-component flows using a multi-relaxation time lattice Boltzmann method, Comput. Fluids, 67, 104, 10.1016/j.compfluid.2012.06.018 Djenidi, 2006, Numerical investigation of laminar mixing in a coaxial microreactor, J. Fluid Mech., 568, 223, 10.1017/S0022112006002035 Moghtaderi, 2006, Microfluidic characteristics of a multi-holed baffle plate micro-reactor, Int. J. Heat Fluid Flow, 27, 1069, 10.1016/j.ijheatfluidflow.2006.01.008 Bhatnagar, 1954, A model for collision prosses in gases. I. small amplitude processes in charged neutral one-component system, Phys. Rev., 94, 511, 10.1103/PhysRev.94.511 Tsotskas, 2015, Fast multi-objective optimization of a micro-fluidic device by using graphics accelerators, Proc. Comput. Sci., 51, 2237, 10.1016/j.procs.2015.05.502 Xie, 1997 Xie, 1996, Evolutionary structural optimization for dynamical problems, Comput. Struct., 58, 1067, 10.1016/0045-7949(95)00235-9 Querin, 1998, Evolutionary structural optimization (ESO) using a bi-directional algorithm, Eng. Comput., 15, 1034, 10.1108/02644409810244129 Huang, 2007, Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method, Finite Elem. Anal. Des., 43, 1039, 10.1016/j.finel.2007.06.006 Huang, 2009, Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials, Comput. Mech., 43, 393, 10.1007/s00466-008-0312-0 Picelli, 2017, Topology optimization for submerged buoyant structures, Eng. Optim., 49, 1, 10.1080/0305215X.2016.1164147 Huang, 2010 Xia, 2016, Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review, Arch. Comput. Meth. Eng., 1 Osher, 1988, Fronts propagating with curvature-dependent speed: algorithms based on Hamiltion-Jacobi formulations, J. Comput. Phys., 79, 12, 10.1016/0021-9991(88)90002-2 Haber, 1998, Problem formulation, solution procedures and geometric modeling - key issues in variable topology optimization, 1864 Eschenauer, 1994, Bubble method for topology and shape optimization of structures, Struct. Optim., 8, 42, 10.1007/BF01742933 Allaire, 2005, Structural optimization using topological and shape sensitivity via a level-set method, Contr. Cybern., 34, 59 Yaji, 2014, Topology optimization using the lattice Boltzmann method incorporating level set boundary expression, J. Comput. Phys., 272, 158, 10.1016/j.jcp.2014.06.004 Yamada, 2010, A topology optimization method based on the level set method incorporating a fictitious interface energy, Comput. Meth. Appl. Mech. Eng., 199, 2876, 10.1016/j.cma.2010.05.013 D'Ammaro, 2011, Computational design for micro fluidic devices using lattice Boltzmann and heuristic optimisation algorithms van Dijk, 2013, Level-set methods for structural topology optimization: a review, Struct. Multidiscip. Optim., 48, 437, 10.1007/s00158-013-0912-y Bendsøe, 1989, Optimal shape design as a material distribution problem, Struct. Optim., 1, 193, 10.1007/BF01650949 Mlejnek, 1992, Some aspects of the genesis of structures, Struct. Optim., 5, 64, 10.1007/BF01744697 Zhou, 1991, The COC algorithm, part II: topological, geometry and generalized shape optimization, Comput. Meth. Appl. Mech. Eng., 89, 197, 10.1016/0045-7825(91)90046-9 Bendsøe, 1999, Material interpolation schemes in topology optimization, Arch. Appl. Mech., 69, 635 Rozvany, 2001, Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics, Struct. Multidiscip. Optim., 21, 90, 10.1007/s001580050174 Stolpe, 2001, An alternative interpolation scheme for mimimum compliance optimization, Struct. Multidiscip. Optim., 22, 116, 10.1007/s001580100129 Pedersen, 2000, Maximization of eigenvalues using topology optimization, Struct. Multidiscip. Optim., 20, 2, 10.1007/s001580050130 Sigmund, 1998, Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Struct. Optim., 16, 68, 10.1007/BF01214002 Rozvany, 2014 Fuchs, 2000, Optimal structural topologies with transmissible loads, Struct. Multidiscip. Optim., 19, 263, 10.1007/s001580050123 Munk, 2016, Computational design for micro fluidic devices using a tightly coupled lattice Boltzmann and level set-based optimization algorithm Andreasen, 2009, Topology optimization of microfluidic mixers, Int. J. Numer. Meth. Fluid., 61, 498, 10.1002/fld.1964