Incorporating thermal fluctuations into the immersed boundary method

P. R. Kramer, Charles Peskin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present a new computational method for simulating microscopic processes in physiology which accounts for stochastic thermal fluctuations and a dynamically evolving fluid environment. This latter feature is a principal advantage of our method relative to Brownian or Stokesian particle dynamics methods. Our approach builds on the "immersed boundary method" of Peskin, which simplifies the coupling between the fluid and the immersed particles and membranes so as to avoid complex boundary problems.

Original languageEnglish (US)
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherElsevier Inc.
Pages1755-1758
Number of pages4
ISBN (Print)9780080529479, 9780080440460
DOIs
StatePublished - Jun 2 2003

Fingerprint

Fluids
Physiology
Computational methods
Membranes
Hot Temperature

Keywords

  • Brownian motion
  • Fluctuation-dissipation theorem
  • Immersed boundary method
  • Microfluid simulation
  • Stochastic hydrodynamics
  • Thermal fluctuations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kramer, P. R., & Peskin, C. (2003). Incorporating thermal fluctuations into the immersed boundary method. In Computational Fluid and Solid Mechanics 2003 (pp. 1755-1758). Elsevier Inc.. https://doi.org/10.1016/B978-008044046-0.50428-0

Incorporating thermal fluctuations into the immersed boundary method. / Kramer, P. R.; Peskin, Charles.

Computational Fluid and Solid Mechanics 2003. Elsevier Inc., 2003. p. 1755-1758.

Research output: Chapter in Book/Report/Conference proceedingChapter

Kramer, PR & Peskin, C 2003, Incorporating thermal fluctuations into the immersed boundary method. in Computational Fluid and Solid Mechanics 2003. Elsevier Inc., pp. 1755-1758. https://doi.org/10.1016/B978-008044046-0.50428-0
Kramer PR, Peskin C. Incorporating thermal fluctuations into the immersed boundary method. In Computational Fluid and Solid Mechanics 2003. Elsevier Inc. 2003. p. 1755-1758 https://doi.org/10.1016/B978-008044046-0.50428-0
Kramer, P. R. ; Peskin, Charles. / Incorporating thermal fluctuations into the immersed boundary method. Computational Fluid and Solid Mechanics 2003. Elsevier Inc., 2003. pp. 1755-1758
@inbook{96aa0199b7a9424d95ace07e9a2217bf,
title = "Incorporating thermal fluctuations into the immersed boundary method",
abstract = "We present a new computational method for simulating microscopic processes in physiology which accounts for stochastic thermal fluctuations and a dynamically evolving fluid environment. This latter feature is a principal advantage of our method relative to Brownian or Stokesian particle dynamics methods. Our approach builds on the {"}immersed boundary method{"} of Peskin, which simplifies the coupling between the fluid and the immersed particles and membranes so as to avoid complex boundary problems.",
keywords = "Brownian motion, Fluctuation-dissipation theorem, Immersed boundary method, Microfluid simulation, Stochastic hydrodynamics, Thermal fluctuations",
author = "Kramer, {P. R.} and Charles Peskin",
year = "2003",
month = "6",
day = "2",
doi = "10.1016/B978-008044046-0.50428-0",
language = "English (US)",
isbn = "9780080529479",
pages = "1755--1758",
booktitle = "Computational Fluid and Solid Mechanics 2003",
publisher = "Elsevier Inc.",

}

TY - CHAP

T1 - Incorporating thermal fluctuations into the immersed boundary method

AU - Kramer, P. R.

AU - Peskin, Charles

PY - 2003/6/2

Y1 - 2003/6/2

N2 - We present a new computational method for simulating microscopic processes in physiology which accounts for stochastic thermal fluctuations and a dynamically evolving fluid environment. This latter feature is a principal advantage of our method relative to Brownian or Stokesian particle dynamics methods. Our approach builds on the "immersed boundary method" of Peskin, which simplifies the coupling between the fluid and the immersed particles and membranes so as to avoid complex boundary problems.

AB - We present a new computational method for simulating microscopic processes in physiology which accounts for stochastic thermal fluctuations and a dynamically evolving fluid environment. This latter feature is a principal advantage of our method relative to Brownian or Stokesian particle dynamics methods. Our approach builds on the "immersed boundary method" of Peskin, which simplifies the coupling between the fluid and the immersed particles and membranes so as to avoid complex boundary problems.

KW - Brownian motion

KW - Fluctuation-dissipation theorem

KW - Immersed boundary method

KW - Microfluid simulation

KW - Stochastic hydrodynamics

KW - Thermal fluctuations

UR - http://www.scopus.com/inward/record.url?scp=2542449922&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2542449922&partnerID=8YFLogxK

U2 - 10.1016/B978-008044046-0.50428-0

DO - 10.1016/B978-008044046-0.50428-0

M3 - Chapter

SN - 9780080529479

SN - 9780080440460

SP - 1755

EP - 1758

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -