CFC2023

Fluid-reduced-Solid Interaction (FrSI): Physics- and Projection-based Model Reduction for Applications in Cardiovascular Hemodynamics

  • Hirschvogel, Marc (Department of Biomedical Engineering, School of Biomedical Engineering & Imaging Sciences King’s College London, King’s Health Partners, London SE1 7EH, United Kingdom)
  • Balmus, Maximilian (Department of Biomedical Engineering, School of Biomedical Engineering & Imaging Sciences King’s College London, King’s Health Partners, London SE1 7EH, United Kingdom)
  • Bonini, Mia (Department of Biomedical Engineering, University of Michigan, MI, USA)
  • Nordsletten, David (Department of Biomedical Engineering, University of Michigan, MI, USA)

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A novel a combined physics- and projection-based model reduction technique for cardiovascular fluid-structure interaction (FSI) is proposed, focusing on 3D hemodynamics while simplifying the demand for solid mechanics. This fluid-reduced-solid interaction (FrSI) is validated and benchmarked against a full-order FSI left ventricle model and shows excellent agreement in regional and integral quantities of interest. Further, we show applications of FrSI in the context of full cycle left heart hemodynamics of the atrium and ventricle, assessing the impact of mitral valve regurgitation and LVAD support on LV volume load. Our results illustrate that FrSI is a highly relevant tool to streamline the simulation of hemodynamics in the heart and cardiovascular system, providing flexible-wall hemodynamics at a fraction of costs of full-order FSI models.