Topology optimization study of arterial bypass configurations using the level set method

Zhang, Bin; Liu, Xiaomin

doi:10.1007/s00158-014-1175-y

Cited by 40 publications

(22 citation statements)

References 37 publications

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“…Here, it is possible to notice that the algorithm tends to create the shorter path between the inlet and outlet. This result was also observed by Zhang and Liu (2015). This indicates that this topology, juxtaposed to the wall, creates a lower energy dissipation value than the initial guess.…”

Section: A) Fully Blocked Arterial Bypasssupporting

confidence: 70%

“…Recently, researchers have shown interest in applying the topology optimization method to devices conducting blood, considering non-Newtonian effects existent in this fluid. There are approaches that model the fluid flow through the Navier-Stokes equations, as proposed by Hyun, Wang and Yang (2014), Zhang and Liu (2015) and also through the Lattice Boltzmann method as shown in the work of Pingen and Maute (2010).…”

Section: Optimization Methodsmentioning

confidence: 99%

“…Arterial bypass configurations problems with the objective of minimizing flow shear stress have been studied in the work of Zhang and Liu (2015). The topology optimization is implemented by using a level set method.…”

Section: Topology Optimization Applied To Fluid Flowmentioning

confidence: 99%

“…An important example of application of topology optimization to blood flow is the design of an arterial bypass, studied before by Abraham, Behr and Heinkenschloss (2005) and Zhang and Liu (2015), which consists in an artificial channel that allows the existence of flow in places where an artery is blocked. The objective function used aims to minimize the total shear stress of the fluid, since it is directly related with blood cell damage in artificial flows.…”

Section: A) Fully Blocked Arterial Bypassmentioning

confidence: 99%

“…3.6). This application is also studied in the work of Zhang and Liu (2015) and the arterial bypass domain includes two inlets which are the host artery inlet and the graft inlet and one outlet referring to the host artery continuation.…”

Section: B) Partial Blocked Arterial Bypassmentioning

confidence: 99%

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Topology optimization method applied to design channels considering non-newtonian fluid flow.

Kian¹

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O estudo de escoamento de fluidos não-Newtonianos apresenta-se relevante no campo de bioengenharia, em especial no projeto de dispositivos para condução de sangue, como bypass arterial. Melhorias na redução de dissipação de energia e no dano às células sanguíneas causados por fluxos artificiais podem ser obtidas através do uso de técnicas de simulação e otimização numéricas. Deste modo, este trabalho propõe o estudo do projeto de canais para escoamentos incompressíveis em regime permanente de fluidos não-Newtonianos através do Método de Otimização Topológica baseado no método de densidade. O escoamento é modelado com as equações de Navier-Stokes acopladas com a equação constitutiva de Carreau-Yasuda para a viscosidade dinâmica, para que sejam considerados os efeitos das propriedades não-Newtonianas do sangue. O Método de Otimização Topológica distribue regiões de sólido e fluido, dada uma restrição de volume, dentro de um domínio especificado de modo a obter uma geometria e configuração que minimize a dissipação de energia, tensão de cisalhamento e vorticidade, utilizando a pseudo-densidade do material como variável de projeto. Para aplicar este método a sistemas fluidos, um meio poroso fictício, baseado na equação de Darcy, é introduzido. O modelo de escoamento é implementado em sua forma discreta utilizando o Método de Elementos Finitos através da plataforma OpenSource FEniCS, aplicada para automatizar a solução dos modelos matemáticos baseados em equações diferenciais, e o problema de otimização é resolvido utilizando a biblioteca DOLFIN-adjoint e otimizador IPOpt. Topologias otimizadas de canais para fluxo de sangue, com foco em bypass arterial, são apresentadas para ilustrar o método proposto.

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Section: A) Fully Blocked Arterial Bypasssupporting

confidence: 70%

Section: Optimization Methodsmentioning

confidence: 99%

Section: Topology Optimization Applied To Fluid Flowmentioning

confidence: 99%

Section: A) Fully Blocked Arterial Bypassmentioning

confidence: 99%

Section: B) Partial Blocked Arterial Bypassmentioning

confidence: 99%

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Topology optimization method applied to design channels considering non-newtonian fluid flow.

Kian¹

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Material‐Constrained Optimization of Liquid Crystal‐Based Holograms

Ropač,

Hsiao,

Berteloot

et al. 2024

Advanced Optical Materials

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A novel material‐constrained method for the design of liquid crystal optical devices – computer‐generated liquid crystal‐based holograms – and their manufacture using photo‐patterning is demonstrated. The developed topology optimization method is compared to the Gerchberg‐Saxton algorithm, and key advantages and disadvantages are outlined. The key novelties and advantages of the method are that it accounts for the natural relaxation and material properties of the liquid crystal and that it can account for different material or manufacturing constraints, such as maximum optical axis gradients. The viability of the method is applied for different binary and greyscale target images of varying complexity, target image sizes, and algorithms that account for the material properties of the liquid crystal. Finally, with the topology optimization design approach and photo‐patterning, it is possible to produce high‐accuracy and high‐contrast liquid crystal‐based computer‐generated holograms.

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Adjoint shape sensitivities of blood flows considering non‐Newtonian properties

Bletsos

Kühl

Rung

2023

Numerical Methods in Fluids

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This article discusses the derivation and numerical implementation of an adjoint system, to the primal Navier–Stokes equations, for the computation of shape sensitivities of ducted blood flows considering non‐Newtonian fluid properties. The ever‐growing advancements in blood flow simulations are, naturally, accompanied by an increased interest in the optimization of related medical devices. In the majority of the computational studies, the Newtonian assumption is used to describe the rheology of blood. While this assumption has been shown to satisfactorily capture the flow when it is governed by high shear rates, it falls short at low shear rates. A rich variety of viscosity models has been proposed to tackle this shortcoming. In this article we show how such models can be incorporated into an adjoint system targeting to produce the shape sensitivity which can be used by a gradient‐based optimization method for the minimization of an objective functional. A general formulation of the adjoint equations is proposed, in which contributions of the non‐Newtonian properties explicitly occur. The numerical implementation is discussed and the validity of the method is assessed by means of numerical experiments of steady blood flows in a 2D stenosed duct, where results are compared against second‐order finite‐difference (FD) studies. The proposed methodology is then applied to CAD‐free, gradient‐based shape optimizations of an idealized 3D arterial bypass‐graft operating at three relevant Reynolds numbers. It is observed that the impact of the adjoint viscosity treatment is amplified in low shear‐rate flow regimes while fades for higher shear‐rates, analogous to its primal counterpart.

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Topology optimization study of arterial bypass configurations using the level set method

Cited by 40 publications

References 37 publications

Topology optimization method applied to design channels considering non-newtonian fluid flow.

Topology optimization method applied to design channels considering non-newtonian fluid flow.

Material‐Constrained Optimization of Liquid Crystal‐Based Holograms

Adjoint shape sensitivities of blood flows considering non‐Newtonian properties

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