Discrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann method

	Discrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann method
	Liu G.; Geier M.; Liu Z. Y.; Krafczyk M.; Chen T.
	2014
发表期刊	Computers & Mathematics with Applications
ISSN	ISBN/0898-1221
卷号	68 期号:10 页码:1374-1392
摘要	A discrete adjoint sensitivity analysis for fluid flow topology optimization based on the lattice Boltzmann method (LBM) with multiple-relaxation-times (MRT) is developed. The lattice Boltzmann fluid solver is supplemented by a porosity model using a Darcy force. The continuous transition from fluid to solid facilitates a gradient based optimization process of the design topology of fluidic channels. The adjoint LBM equation, which is used to compute the gradient of the optimization objective with respect to the design variables, is derived in moment space and found to be as simple as the original LBM. The moment based spatial momentum derivatives used to express the discrete objective functional (cost function) have the advantage that the local stress tensor is a local quantity avoiding the numerical computation of gradients of the discrete velocity field. This is particularly useful if dissipation is a design criterion as demonstrated in this paper. The method is validated by a detailed comparison with results obtained by Borrvall et al. for Stokes flow. While their approach is only valid for Stokes flow (i.e. very low Reynolds numbers) our approach in its present form can in principle be applied for flows of different Reynolds numbers just like the Navier-Stokes equation based approaches. This point is demonstrated with a bending pipe example for various Reynolds numbers. (C) 2014 Elsevier Ltd. All rights reserved.
收录类别	SCI ; EI
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/43901
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Liu G.,Geier M.,Liu Z. Y.,et al. Discrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann method[J]. Computers & Mathematics with Applications,2014,68(10):1374-1392.
APA	Liu G.,Geier M.,Liu Z. Y.,Krafczyk M.,&Chen T..(2014).Discrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann method.Computers & Mathematics with Applications,68(10),1374-1392.
MLA	Liu G.,et al."Discrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann method".Computers & Mathematics with Applications 68.10(2014):1374-1392.

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