On the foundations of the stochastic immersed boundary method

Peter R. Kramer, Charles S. Peskin, Paul J. Atzberger

Research output: Contribution to journalArticlepeer-review

Abstract

We explore the theoretical foundations for the inclusion of thermal fluctuations in the immersed boundary method for simulating microscale fluid systems with immersed flexible structures, as in cellular and subcellular biology. We investigate in particular the physical validity of the thermal forcing scheme with respect to the coupling of fluid and immersed structural degrees of freedom and non-equilibrium conditions. We discuss also the shortcomings of a natural alternative scheme in which the thermal fluctuations are applied directly to the structural degrees of freedom through Langevin-type dynamics.

Original languageEnglish (US)
Pages (from-to)2232-2249
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number25-28
DOIs
StatePublished - Apr 15 2008

Keywords

  • Fluctuation-dissipation theorem
  • Langevin
  • Non-equilibrium
  • Thermal fluctuations

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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