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An Enhanced Immersed Structural Potential Method (ISPM) for the simulation of fluid-structure interaction problems

Antonio Gil, Aurelio Arranz-Carreno, Clare Wood Orcid Logo, Javier Bonet, Christian Hesch

Proceedings of the International Workshop for Mathematical Modelling on Hemodynamics

Swansea University Author: Clare Wood Orcid Logo

Abstract

In this presentation, the Immersed Structural Potential Method (ISPM) will be presented along witha series of numerical enhancements. A key aspect of the success of immersed methodologies is theaccurate description of the immersed structural domain. In the case of the ISPM, this relies upon theaccur...

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Published in: Proceedings of the International Workshop for Mathematical Modelling on Hemodynamics
Published: Universite Jean Monnet, Saint Etienne, France International Workshop for Mathematical Modelling on Hemodynamics 2018
Online Access: https://www.univ-st-etienne.fr/fr/mod-mad/agenda-actualites/actualites-2018-2019/workshop-mathematical-modeling.html
URI: https://cronfa.swan.ac.uk/Record/cronfa46065
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Abstract: In this presentation, the Immersed Structural Potential Method (ISPM) will be presented along witha series of numerical enhancements. A key aspect of the success of immersed methodologies is theaccurate description of the immersed structural domain. In the case of the ISPM, this relies upon theaccurate spatial integration of the immersed structural potential and, crucial to this, is the quadraturerule employed as well as the number of integration points used. This aspect is analysed in detail forthe case of the ISPM demonstrating that the number of integration points necessary to ensureaccuracy of the scheme depends naturally on the selected kernel function. This will lead to the useof high-order quadrature rules, which can be efficiently utilised in conjunction with a new family ofkernel functions, resulting in optimum results. Further results highlighting several qualities of themethodology will be presented. Moreover, a Runge-Kutta Chebyshev Projection(RKCP-ISPM) time integration scheme will be introduced, leading to a very efficient fully parallelisedframework that allows for the simulation of large-scale three-dimensional problems
College: College of Engineering