Interaction problem between fluid and membrane by a consistent direct discretisation approach

Takeuchi, Shintaro; Fukuoka, Hiroki; Gu, Jingchen; Kajishima, Takeo

doi:https://doi.org/10.1016/j.jcp.2018.05.033

Interaction problem between fluid and membrane by a consistent direct discretisation approach

Takeuchi, Shintaro; Fukuoka, Hiroki; Gu, Jingchen et al.

Journal of Computational Physics, 2018, 371, 1018-1042

Number of Access:764（2025-08-13 23:27 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/77254

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Title	Interaction problem between fluid and membrane by a consistent direct discretisation approach
Creator	NRID 1000050372628 1000050372628 ORCID 0000-0003-0091-4542 0000-0003-0091-4542 researchmap permalink 50372628 50372628 Scopus Author ID 35474283000 35474283000 CreatorName Takeuchi, Shintaro
	CreatorName Fukuoka, Hiroki
	CreatorName Gu, Jingchen
	NRID 1000030185772 1000030185772 CreatorName Kajishima, Takeo
Subject	Discrete-forcing
	Immersed boundary
	Membrane
	Moving boundary
	Particle
Abstract	Numerical methods for solving the flow around a moving or deforming membrane are developed by employing the ideas of the direct-discretisation of the Navier–Stokes equation even in the immediate vicinity of the object surface and consistent-discretisation of the pressure Poisson equation with the incompressible velocity field (i.e., consistent-coupling) that incorporates the boundary conditions on the surface to the pressure equation. Comparative study of three different discretisation strategies is carried out to highlight the effect of the consistent and direct discretisations. The validity of the present “consistent direct discretisation” is established through comparisons with the analytical solutions for some fundamental shear-driven 2-D flow fields with a moving membrane of flat and corrugated geometries. Also, the flows induced by a membrane of circular geometry (i.e., particle) are compared with the reference numerical results under prescribed motion in a stationary fluid as well as lateral migration in a shear flow. A three dimensional problem is presented for an interaction problem between a spherical particle and Taylor–Green vortices, and the result is verified by comparing with the independently-conducted numerical results. Finally, the method is applied to an interaction problem between the fluid and flexible filament showing strong flapping and snapping motions.
Publisher	Elsevier
Source Title	Journal of Computational Physics
Volume (Issue)	371
Page	1018-1042
Date of Issued	2018-10-15
Language	English
Handle URL	https://hdl.handle.net/11094/77254
PISSN	00219991
eISSN	10902716
NCID	AA11534782
Relation.isVersionOf	DOI (Publisher Version) https://doi.org/10.1016/j.jcp.2018.05.033
Access Rights	open access
CopyRight	© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
oaire:version	Accepted Manuscript
Category	学術雑誌論文 Journal Article

Resource Type	journal article
Local Type	Journal Article
DCMI Type	Text
DCTERMS.bibliographicCitation	Journal of Computational Physics. 2018, 371, p. 1018-1042
DC.title	Interaction problem between fluid and membrane by a consistent direct discretisation approach
DC.creator	Takeuchi, Shintaro
	Fukuoka, Hiroki
	Gu, Jingchen
	Kajishima, Takeo
DC.publisher	Elsevier
DC.language' scheme='DCTERMS.RFC1766	English
DC.type' scheme='DCTERMS.DCMIType	Text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2018-10-15
DC.identifier	https://doi.org/10.1016/j.jcp.2018.05.033
DC.subject	Discrete-forcing
	Immersed boundary
	Membrane
	Moving boundary
	Particle
DCTERMS.abstract	Numerical methods for solving the flow around a moving or deforming membrane are developed by employing the ideas of the direct-discretisation of the Navier–Stokes equation even in the immediate vicinity of the object surface and consistent-discretisation of the pressure Poisson equation with the incompressible velocity field (i.e., consistent-coupling) that incorporates the boundary conditions on the surface to the pressure equation. Comparative study of three different discretisation strategies is carried out to highlight the effect of the consistent and direct discretisations. The validity of the present “consistent direct discretisation” is established through comparisons with the analytical solutions for some fundamental shear-driven 2-D flow fields with a moving membrane of flat and corrugated geometries. Also, the flows induced by a membrane of circular geometry (i.e., particle) are compared with the reference numerical results under prescribed motion in a stationary fluid as well as lateral migration in a shear flow. A three dimensional problem is presented for an interaction problem between a spherical particle and Taylor–Green vortices, and the result is verified by comparing with the independently-conducted numerical results. Finally, the method is applied to an interaction problem between the fluid and flexible filament showing strong flapping and snapping motions.
DC.rights	© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
DC.format	77254
citation_title	Interaction problem between fluid and membrane by a consistent direct discretisation approach
citation_author	Takeuchi, Shintaro
	Fukuoka, Hiroki
	Gu, Jingchen
	Kajishima, Takeo
citation_publisher	Elsevier
citation_language	English
citation_date	2018-10-15
citation_journal_title	Journal of Computational Physics
citation_volume	371
citation_firstpage	1018
citation_lastpage	1042
citation_doi	https://doi.org/10.1016/j.jcp.2018.05.033
citation_public_url	https://hdl.handle.net/11094/77254

Interaction problem between fluid and membrane by a consistent direct discretisation approach

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