A numerical method for potential flows with a free surface

Andrea Prosperetti; Jeffrey W. Jacobs

doi:10.1016/0021-9991(83)90159-6

A numerical method for potential flows with a free surface

Andrea Prosperetti, Jeffrey W. Jacobs

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A finite-difference numerical method for an accurate and efficient solution of transient potential flow problems with a free surface is described and illustrated with application to the Rayleigh-Taylor instability and the expulsion of liquid from a pipe immersed in a tank. The novel feature of the method consists of the adoption of special differentiation formulae to calculate the liquid velocity at the free surface with much greater accuracy and stability than previously possible.

Original language	English (US)
Pages (from-to)	365-386
Number of pages	22
Journal	Journal of Computational Physics
Volume	51
Issue number	3
DOIs	https://doi.org/10.1016/0021-9991(83)90159-6
State	Published - Sep 1983
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/0021-9991(83)90159-6

Cite this

@article{8184f490484e49a5a46ef746b2c44592,

title = "A numerical method for potential flows with a free surface",

abstract = "A finite-difference numerical method for an accurate and efficient solution of transient potential flow problems with a free surface is described and illustrated with application to the Rayleigh-Taylor instability and the expulsion of liquid from a pipe immersed in a tank. The novel feature of the method consists of the adoption of special differentiation formulae to calculate the liquid velocity at the free surface with much greater accuracy and stability than previously possible.",

author = "Andrea Prosperetti and Jacobs, {Jeffrey W.}",

note = "Funding Information: This study has been supportedb y National Science FoundationG rant ENG 78-25497.T he first authore xpressesh is gratitudet o Gruppo Nazionale di Fisica Matematicao f C.N.R. for a travel grant.",

year = "1983",

month = sep,

doi = "10.1016/0021-9991(83)90159-6",

language = "English (US)",

volume = "51",

pages = "365--386",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - A numerical method for potential flows with a free surface

AU - Prosperetti, Andrea

AU - Jacobs, Jeffrey W.

N1 - Funding Information: This study has been supportedb y National Science FoundationG rant ENG 78-25497.T he first authore xpressesh is gratitudet o Gruppo Nazionale di Fisica Matematicao f C.N.R. for a travel grant.

PY - 1983/9

Y1 - 1983/9

N2 - A finite-difference numerical method for an accurate and efficient solution of transient potential flow problems with a free surface is described and illustrated with application to the Rayleigh-Taylor instability and the expulsion of liquid from a pipe immersed in a tank. The novel feature of the method consists of the adoption of special differentiation formulae to calculate the liquid velocity at the free surface with much greater accuracy and stability than previously possible.

AB - A finite-difference numerical method for an accurate and efficient solution of transient potential flow problems with a free surface is described and illustrated with application to the Rayleigh-Taylor instability and the expulsion of liquid from a pipe immersed in a tank. The novel feature of the method consists of the adoption of special differentiation formulae to calculate the liquid velocity at the free surface with much greater accuracy and stability than previously possible.

UR - http://www.scopus.com/inward/record.url?scp=0009206487&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009206487&partnerID=8YFLogxK

U2 - 10.1016/0021-9991(83)90159-6

DO - 10.1016/0021-9991(83)90159-6

M3 - Article

AN - SCOPUS:0009206487

SN - 0021-9991

VL - 51

SP - 365

EP - 386

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 3

ER -

A numerical method for potential flows with a free surface

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this