Topology optimization of heat conduction problems using the finite volume method

By A. Gersborg-Hansen, Martin P. Bendsøe, Ole Sigmund. 2006

415 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/78cee6126ca1fa926e87bf7a2d82122457c34a8a

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “For example, this is the case for applications in fluid dynamics [1], heat conduction [48], vibration [61], multiphysics [98] and bioengineering [115]; also topology optimization has been used for shell structures [69, 89] and with different material models as in [93] for elastoplastic structures.”
Isogeometric analysis for parameterized LSM-based structural topology optimization (2016, background): “During the past three decades, TO has been used principally for traditionalmechanics but its applications have been spreading to a wide range of other engineering domains such as fluids [16], heat transfer [24], vibration [41], electromagnetics [72] and”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Gersborg-Hansen et al. (2006) developed a SIMP topology optimization technique which utilized the finite volume method to solve the thermal system, as opposed to the usual finite element method.”
Topology optimisation for natural convection problems (2014, methodology): “One of the extensions of the density-based topology optimisation method has been to purely conductive heat transfer [13, 14].”
Topology Optimization Using the SIMP Method for Multiobjective Conductive Problems (2012, methodology): “The SIMP strategy developed through this article relies on those proposed in the literature [6, 19, 22].”
Topology Optimization of Heat and Mass Transfer Problems: Laminar Flow (2013, methodology): “investigated in [17] the volume-to-point (VP) problem introduced by Bejan in [18] with a SIMP approach.”
A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous Coefficient (2009, background): “It is well known that efficiently solving this type of interface problem is critical in many applications of engineering and sciences, including flow problems [10, 11, 27, 29, 30, 43, 52], electromagnetic problems [4, 16, 61, 66–70, 78], shape/topology optimization problems [13–15, 29, 36–38, 46, 74”