A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems - Archive ouverte HAL Access content directly
Journal Articles International Journal for Numerical Methods in Engineering Year : 2017

A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems

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Matteo Aletti
Damiano Lombardi

Abstract

This work investigates a model reduction method applied to coupled multi-physics systems. The case in which a system of interest interacts with an external system is considered. An approximation of the \PoinSte operator is computed by simulating, in an offline phase, the external problem when the inputs are the Laplace-Beltrami eigenfunctions defined at the interface. In the online phase, only the reduced representation of the operator is needed to account for the influence of the external problem on the main system. An online basis enrichment is proposed in order to guarantee a precise reduced-order computation. Several test-cases are proposed on different fluid-structure couplings.
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Dates and versions

hal-01396286 , version 1 (14-11-2016)

Identifiers

  • HAL Id : hal-01396286 , version 1

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Matteo Aletti, Damiano Lombardi. A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems. International Journal for Numerical Methods in Engineering, 2017. ⟨hal-01396286⟩
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