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This chapter investigates a nonlinearly coupled fluid-poroelastic structure interaction (FPSI) system, where an incompressible fluid (modeled by Navier-Stokes equations) interacts with a multilayered poroelastic structure comprising a thin reticular plate and a thick Biot medium. Unlike previous linearly coupled models, both the fluid and Biot domains are time dependent, with their configurations determined by structural displacements, introducing geometric nonlinearities that complicate analysis. Key contributions: This chapter extends FPSI analysis to nonlinear coupling and moving domains, addressing challenges unique to Navier-Stokes-Biot systems with dynamic interfaces.

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FPSI with Nonlinear Coupling

  • 章节

  • 发表日期：

    2025年

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  • Sunčica Čanić,
  • Jeffrey Kuan,
  • Boris Muha,
  • Krutika Tawri

摘要

This chapter investigates a nonlinearly coupled fluid-poroelastic structure interaction (FPSI) system, where an incompressible fluid (modeled by Navier-Stokes equations) interacts with a multilayered poroelastic structure comprising a thin reticular plate and a thick Biot medium. Unlike previous linearly coupled models, both the fluid and Biot domains are time dependent, with their configurations determined by structural displacements, introducing geometric nonlinearities that complicate analysis. Key contributions: This chapter extends FPSI analysis to nonlinear coupling and moving domains, addressing challenges unique to Navier-Stokes-Biot systems with dynamic interfaces.