On the foundations of the stochastic immersed boundary method

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

Research output: Contribution to journalArticle

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

Fingerprint

degrees of freedom
nonequilibrium conditions
fluids
biology
microbalances
Fluids
Flexible structures
Degrees of freedom (mechanics)
inclusions
Hot Temperature

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

On the foundations of the stochastic immersed boundary method. / Kramer, Peter R.; Peskin, Charles; Atzberger, Paul J.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 25-28, 15.04.2008, p. 2232-2249.

Research output: Contribution to journalArticle

Kramer, Peter R. ; Peskin, Charles ; Atzberger, Paul J. / On the foundations of the stochastic immersed boundary method. In: Computer Methods in Applied Mechanics and Engineering. 2008 ; Vol. 197, No. 25-28. pp. 2232-2249.
@article{b15479eaebcd4c07a6222a3c451c5ee4,
title = "On the foundations of the stochastic immersed boundary method",
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.",
keywords = "Fluctuation-dissipation theorem, Langevin, Non-equilibrium, Thermal fluctuations",
author = "Kramer, {Peter R.} and Charles Peskin and Atzberger, {Paul J.}",
year = "2008",
month = "4",
day = "15",
doi = "10.1016/j.cma.2007.11.010",
language = "English (US)",
volume = "197",
pages = "2232--2249",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "25-28",

}

TY - JOUR

T1 - On the foundations of the stochastic immersed boundary method

AU - Kramer, Peter R.

AU - Peskin, Charles

AU - Atzberger, Paul J.

PY - 2008/4/15

Y1 - 2008/4/15

N2 - 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.

AB - 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.

KW - Fluctuation-dissipation theorem

KW - Langevin

KW - Non-equilibrium

KW - Thermal fluctuations

UR - http://www.scopus.com/inward/record.url?scp=41849147912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41849147912&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2007.11.010

DO - 10.1016/j.cma.2007.11.010

M3 - Article

VL - 197

SP - 2232

EP - 2249

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 25-28

ER -