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This chapter develops a general framework for stochastic FSI on bounded domains, extending beyond the simplified unbounded-domain model of Chap. 7 . Unlike the earlier stochastic viscous wave equation (solvable via Fourier analysis), bounded domains require new techniques. Here, a 2D stochastic Stokes flow interacts with a 1D stochastically forced elastic membrane (modeled by a Koiter shell equation). Key contributions: This work establishes the first application of operator splitting to stochastic FSI, demonstrating its versatility for bounded domains and paving the way for more realistic applications.

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Stochastic FSI: A Fully Coupled Model with Linear 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 develops a general framework for stochastic FSI on bounded domains, extending beyond the simplified unbounded-domain model of Chap. 7 . Unlike the earlier stochastic viscous wave equation (solvable via Fourier analysis), bounded domains require new techniques. Here, a 2D stochastic Stokes flow interacts with a 1D stochastically forced elastic membrane (modeled by a Koiter shell equation). Key contributions: This work establishes the first application of operator splitting to stochastic FSI, demonstrating its versatility for bounded domains and paving the way for more realistic applications.