Incorporating thermal fluctuations into the immersed boundary method

P. R. Kramer; C. S. Peskin

doi:10.1016/B978-008044046-0.50428-0

Incorporating thermal fluctuations into the immersed boundary method

P. R. Kramer, C. S. Peskin

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English (US)
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	1755-1758
Number of pages	4
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50428-0
State	Published - Jun 2 2003

Keywords

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

ASJC Scopus subject areas

Engineering(all)

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10.1016/B978-008044046-0.50428-0

Cite this

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keywords = "Brownian motion, Fluctuation-dissipation theorem, Immersed boundary method, Microfluid simulation, Stochastic hydrodynamics, Thermal fluctuations",

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T1 - Incorporating thermal fluctuations into the immersed boundary method

AU - Kramer, P. R.

AU - Peskin, C. S.

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

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M3 - Chapter

AN - SCOPUS:2542449922

SN - 9780080440460

SP - 1755

EP - 1758

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Incorporating thermal fluctuations into the immersed boundary method

Abstract

Keywords

ASJC Scopus subject areas

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