Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology

Pitton, Giuseppe; Quaini, Annalisa; Rozza, Gianluigi

doi:10.1016/j.jcp.2017.05.010

Cited by 47 publications

(44 citation statements)

References 63 publications

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“…A combination within POD and RB tools is not new, of course, for example, we mention the POD-greedy synergy approaches for unsteady problems [Haasdonk, Ohlberger, 2008 where the time evolution is captured by POD and physical and/or geometrical parameters are managed by greedy techniques. Recent works in cardiovascular modeling and simulations with reduced order methods are devoted to fluid-structure interactions (see , Lassila et al, 2012, Bertagna, Veneziani, 2014), stability of flows and bifurcations (see [Pitton et al, 2017, Pitton, Rozza, 2017 as a references), optimization and control (e.g., see [Manzoni et al, 2012c, Lassila et al, 2013a, Lassila et al, 2013b). Last, but not least, we mention two other reduction techniques: the Proper Generalized Decomposition (PGD, see [Chinesta et al, 2016] as a reference) and the Hierarchical Model Reduction (HIMOD) for flows (see [Baroli et al, 2016]).…”

Section: Reduced Order Methods: An Overviewmentioning

confidence: 99%

Computational Methods in Cardiovascular Mechanics

Auricchio¹,

Conti²,

Lefieux³

et al. 2018

Cardiovascular Mechanics

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Introduction: The Role and the Development of Computational MethodsThe introduction of computational models in cardiovascular sciences has been progressively bringing new and unique tools for the investigation of the physiopathology. Together with the dramatic improvement of imaging and measuring devices on one side, and of computational architectures on the other one, mathematical and numerical models have provided a new -clearly noninvasiveapproach for understanding not only basic mechanisms but also patient-specific conditions, and for supporting the design and the development of new therapeutic options. The terminology in silico is, nowadays, commonly accepted for indicating this new source of knowledge added to traditional in vitro and in vivo investigations. The advantages of in silico methodologies are basically the low cost in terms of infrastructures and facilities, the reduced invasiveness and, in general, the intrinsic predictive capabilities based on the use of mathematical models. The disadvantages are generally identified in the distance between the real cases and their virtual counterpart required by the conceptual modeling that can be detrimental for the reliability of numerical simulations. In this respect, the terrific development of new devices and algorithms for image and data retrieval and processing allowed the migration from (over)simplified idealized descriptions to high-fidelity patient-specific models, in a critical -still ongoingprocess of merging measures and conceptualizations. Meanwhile, the progressive improvement of computational resources provides the infrastructures to perform numerical simulations of complex dynamics in reasonable timelines. All such processes required, in background, the crucial development of novel specific modeling techniques and solvers in the field of computational mechanics, in an exciting process involving mathematics, engineering, computer science, and biomedical knowledge that is now having an impact not only on research but also on clinical practice. As a matter of fact, mathematical and computational modeling has been recognized more than a research tool, a service to be integrated in products for the clinical market, as the example of the company HeartFlow [Taylor et al., 2013] demonstrates.

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Section: Reduced Order Methods: An Overviewmentioning

confidence: 99%

Computational Methods in Cardiovascular Mechanics

Auricchio¹,

Conti²,

Lefieux³

et al. 2018

Cardiovascular Mechanics

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“…[455] Cardiologists are also examining this effect, as it strongly influences artificial valve design and the forces acting on materials implanted in the heart and vasculature. [456] Other fundamental mechanisms that underlie insect chemical defense strategies are also interesting in the context of directing fluids, a task shared by a variety of applications.…”

Section: Chemical Defensementioning

confidence: 99%

It's Not a Bug, It's a Feature: Functional Materials in Insects

2018

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Over the course of their wildly successful proliferation across the earth, the insects as a taxon have evolved enviable adaptations to their diverse habitats, which include adhesives, locomotor systems, hydrophobic surfaces, and sensors and actuators that transduce mechanical, acoustic, optical, thermal, and chemical signals. Insect‐inspired designs currently appear in a range of contexts, including antireflective coatings, optical displays, and computing algorithms. However, as over one million distinct and highly specialized species of insects have colonized nearly all habitable regions on the planet, they still provide a largely untapped pool of unique problem‐solving strategies. With the intent of providing materials scientists and engineers with a muse for the next generation of bioinspired materials, here, a selection of some of the most spectacular adaptations that insects have evolved is assembled and organized by function. The insects presented display dazzling optical properties as a result of natural photonic crystals, precise hierarchical patterns that span length scales from nanometers to millimeters, and formidable defense mechanisms that deploy an arsenal of chemical weaponry. Successful mimicry of these adaptations may facilitate technological solutions to as wide a range of problems as they solve in the insects that originated them.

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“…We plan to extend the proposed ROM framework to more advanced 3D problems, in particular with applications to the study of the Coanda effect in haemodynamics [28], and the influence of geometry on symmetry breaking [27]. More complex studies may be devoted to bifurcations and stability of flows with an elastic thin wall-structure interaction.…”

Section: Perspectivesmentioning

confidence: 99%

On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics

Pitton

Rozza

2017

J Sci Comput

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In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the construction of bifurcation and stability diagrams. The method is quite general since it can in principle be specialized to a wide class of nonlinear problems, but in this work we focus on an application in incompressible fluid dynamics at low Reynolds numbers. The validation of the reduced order model with the full order computation for a benchmark cavity flow problem is promising.

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Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology

Cited by 47 publications

References 63 publications

Computational Methods in Cardiovascular Mechanics

Computational Methods in Cardiovascular Mechanics

It's Not a Bug, It's a Feature: Functional Materials in Insects

On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics

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