Abstract
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 language | English (US) |
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Article number | e3558 |
Journal | International Journal for Numerical Methods in Biomedical Engineering |
Volume | 38 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2022 |
All Science Journal Classification (ASJC) codes
- Software
- Biomedical Engineering
- Modeling and Simulation
- Molecular Biology
- Computational Theory and Mathematics
- Applied Mathematics