A Data-Driven Space-Time-Parameter Reduced-Order Model with Manifold Learning for Coupled Problems: Application to Deformable Capsules Flowing in Microchannels - Archive ouverte HAL Access content directly
Journal Articles Entropy Year : 2021

A Data-Driven Space-Time-Parameter Reduced-Order Model with Manifold Learning for Coupled Problems: Application to Deformable Capsules Flowing in Microchannels

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Toufik Boubehziz
  • Function : Author
  • PersonId : 1109756
Carlos Quesada-Granja
  • Function : Author
  • PersonId : 1109757
Claire Dupont
  • Function : Author
  • PersonId : 1109758
Pierre Villon
  • Function : Author
  • PersonId : 872911
Anne-Virginie Salsac

Abstract

An innovative data-driven model-order reduction technique is proposed to model dilute micrometric or nanometric suspensions of microcapsules, i.e., microdrops protected in a thin hyperelastic membrane, which are used in Healthcare as innovative drug vehicles. We consider a microcapsule flowing in a similar-size microfluidic channel and vary systematically the governing parameter, namely the capillary number, ratio of the viscous to elastic forces, and the confinement ratio, ratio of the capsule to tube size. The resulting space-time-parameter problem is solved using two global POD reduced bases, determined in the offline stage for the space and parameter variables, respectively. A suitable low-order spatial reduced basis is then computed in the online stage for any new parameter instance. The time evolution of the capsule dynamics is achieved by identifying the nonlinear low-order manifold of the reduced variables; for that, a point cloud of reduced data is computed and a diffuse approximation method is used. Numerical comparisons between the full-order fluid-structure interaction model and the reduced-order one confirm both accuracy and stability of the reduction technique over the whole admissible parameter domain. We believe that such an approach can be applied to a broad range of coupled problems especially involving quasistatic models of structural mechanics.
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hal-03339115 , version 1 (09-09-2021)

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Toufik Boubehziz, Carlos Quesada-Granja, Claire Dupont, Pierre Villon, Florian de Vuyst, et al.. A Data-Driven Space-Time-Parameter Reduced-Order Model with Manifold Learning for Coupled Problems: Application to Deformable Capsules Flowing in Microchannels. Entropy, 2021, 23, pp.1193. ⟨10.3390/e1010001⟩. ⟨hal-03339115⟩
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