Optimization of unsteady incompressible NavierStokes flows using variational level set method

	Optimization of unsteady incompressible NavierStokes flows using variational level set method
	Deng Y. B.; Zhang P.; Liu Y. S.; Wu Y. H.; Liu Z. Y.
	2013
发表期刊	International Journal for Numerical Methods in Fluids
ISSN	ISBN/0271-2091
卷号	71 期号:12
摘要	This paper presents the optimization of unsteady NavierStokes flows using the variational level set method. The solidliquid interface is expressed by the level set function implicitly, and the fluid velocity is constrained to be zero in the solid domain. An optimization problem, which is constrained by the NavierStokes equations and a fluid volume constraint, is analyzed by the Lagrangian multiplier based adjoint approach. The corresponding continuous adjoint equations and the shape sensitivity are derived. The level set function is evolved by solving the HamiltonJacobian equation with the upwind finite difference method. The optimization method can be used to design channels for flows with or without body forces. The numerical examples demonstrate the feasibility and robustness of this optimization method for unsteady NavierStokes flows.Copyright (c) 2012 John Wiley & Sons, Ltd.
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/181722/40801
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Deng Y. B.,Zhang P.,Liu Y. S.,et al. Optimization of unsteady incompressible NavierStokes flows using variational level set method[J]. International Journal for Numerical Methods in Fluids,2013,71(12).
APA	Deng Y. B.,Zhang P.,Liu Y. S.,Wu Y. H.,&Liu Z. Y..(2013).Optimization of unsteady incompressible NavierStokes flows using variational level set method.International Journal for Numerical Methods in Fluids,71(12).
MLA	Deng Y. B.,et al."Optimization of unsteady incompressible NavierStokes flows using variational level set method".International Journal for Numerical Methods in Fluids 71.12(2013).

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