Levelset based fluid topology optimization using the extended finite element method

Kreissl, Sebastian; Maute, Kurt

doi:10.1007/s00158-012-0782-8

Cited by 138 publications

(100 citation statements)

References 38 publications

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“…and Kreissl et al (Kreissl et al 2011) discussed the topology optimization of flow domains using a parametric level-set approach in which a lattice Boltzmann method is adopted to predict the flow field. Kreissl et al (Kreissl and Maute 2012) also utilized the extended finite element method to study the level set based fluid topology optimization. Deng et al (Deng et al 2013) applied the level set method to study the topology optimization of steady Navier-Stokes flows with body forces.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Liu

2014

Struct Multidisc Optim

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We studied the arterial bypass design problem using a level set based topology optimization method. The blood flow in the artery was considered as the non-Newtonian flow governed by the Navier-Stokes equations coupled with the modified Cross model for the shear dependent viscosity. The fluid-solid interface is immersed in the design domain by the level set method and the fictitious porous material method. The sensitivity velocity derived by the level set based continuous adjoint method was utilized to control the evolution of the level set function. In order to accommodate the irregular analysis domains, the flow equations and the level set equations were computed on two different unstructured grids respectively. Three idealized arterial bypass configurations problems with the minimum flow shear stress objective were studied in the numerical examples. The results indicated that the optimal arterial bypass designs can effectively reduce integral of the squared shear rate in the artery and have a superior performance for the arterial grafting.

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Section: Introductionmentioning

confidence: 99%

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

Zhang

Liu

2014

Struct Multidisc Optim

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“…If the physical model specifies Dirichlet boundary conditions along phase boundaries, the XFEM needs to be augmented by interface constraint methods, such as stabilized Lagrange multiplier or penalty methods. For example, Kreissl and Maute (2012) solved flow topology optimization problems by enforcing the stick boundary conditions along the fluid-solid interface via a stabilized Lagrange multiplier formulation. Subsequently, this approach will be discussed in detail.…”

Section: Extended Finite Element Methodsmentioning

confidence: 99%

“…The design sensitivities are computed by an adjoint method. Both examples are described in detail in Kreissl and Maute (2012).…”

Section: Examplementioning

confidence: 98%

The Extended Finite Element Method

Maute

2014

Topology Optimization in Structural and Continuum Mechanics

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Abstract.This chapter discusses level-set topology optimization methods where the governing state equations are discretized by the Extended Finite Element Method (XFEM). In contrast to conventional methods that map the level-set function into a density distribution of a fictitious material, the XFEM allow preserving the crisp geometry information of level-sets in the mechanical model. A brief introduction into the XFEM will be provided and its application to topology optimization will be illustrated with problems in fluid mechanics.

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“…However, in the model the fluid is able to penetrate the medium at the cost of a huge pressure loss, so care should be taken to check the influence of possible flow in these regions of the final designs, c.f. Kreissl and Maute (2012) for further discussions. The steady state equations yield…”

Section: Methodsmentioning

confidence: 99%

Topology optimization of inertia driven dosing units

Andreasen

2016

Struct Multidisc Optim

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This paper presents a methodology for optimizing inertia driven dosing units, sometimes referred to as eductors, for use in small scale flow applications. The unit is assumed to operate at low to moderate Reynolds numbers and under steady state conditions. By applying topology optimization to the Brinkman penalized Navier-Stokes equation the design of the dosing units can be optimized with respect to dosing capability without initial design assumptions. The influence of flow resistance and speed is investigated to assess design performance under varying operating conditions.

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Levelset based fluid topology optimization using the extended finite element method

Cited by 138 publications

References 38 publications

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

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

The Extended Finite Element Method

Topology optimization of inertia driven dosing units

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