Projection-based model reduction for the immersed boundary method

Yushuang Luo, Xiantao Li, Wenrui Hao

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Fluid–structure interactions are central to many biomolecular processes, and they impose a great challenge for computational and modeling methods. In this paper, we consider the immersed boundary method (IBM) for biofluid systems, and to alleviate the computational cost, we apply reduced-order techniques to eliminate the degrees of freedom associated with the large number of fluid variables. We show how reduced models can be derived using Petrov–Galerkin projection and subspaces that maintain the incompressibility condition. More importantly, the reduced-order model (ROM) is shown to preserve the Lyapunov stability. We also address the practical issue of computing coefficient matrices in the ROM using an interpolation technique. The efficiency and robustness of the proposed formulation are examined with test examples from various applications.

Original languageEnglish (US)
Article numbere3558
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Issue number2
StatePublished - Feb 2022

All Science Journal Classification (ASJC) codes

  • Software
  • Biomedical Engineering
  • Modeling and Simulation
  • Molecular Biology
  • Computational Theory and Mathematics
  • Applied Mathematics


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