Boundary integral equation solution to axisymmetric potential flows: 1. Basic formulation

Gerard P. Lennon; Philip L.‐F Liu; James A. Liggett

doi:10.1029/WR015i005p01102

Boundary integral equation solution to axisymmetric potential flows: 1. Basic formulation

Gerard P. Lennon, Philip L.‐F Liu, James A. Liggett

Department of Hydraulic and Ocean Engineering

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

19 Citations (Scopus)

Abstract

In this paper the two‐dimensional boundary integral equation method (BIEM) is extended to problems of axisymmetric flow governed by Laplace's equation. An ‘axisymmetric’ Green's function is defined which leads to a calculation procedure that parallels the two‐dimensional theory. The result is a numerical method which is efficient and accurate for a variety of axisymmetric potential flow problems.

Original language	English
Pages (from-to)	1102-1106
Number of pages	5
Journal	Water Resources Research
Volume	15
Issue number	5
DOIs	https://doi.org/10.1029/WR015i005p01102
Publication status	Published - 1979 Oct

All Science Journal Classification (ASJC) codes

Water Science and Technology

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10.1029/WR015i005p01102

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title = "Boundary integral equation solution to axisymmetric potential flows: 1. Basic formulation",

abstract = "In this paper the two‐dimensional boundary integral equation method (BIEM) is extended to problems of axisymmetric flow governed by Laplace's equation. An {\textquoteleft}axisymmetric{\textquoteright} Green's function is defined which leads to a calculation procedure that parallels the two‐dimensional theory. The result is a numerical method which is efficient and accurate for a variety of axisymmetric potential flow problems.",

author = "Lennon, {Gerard P.} and Liu, {Philip L.‐F} and Liggett, {James A.}",

year = "1979",

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AB - In this paper the two‐dimensional boundary integral equation method (BIEM) is extended to problems of axisymmetric flow governed by Laplace's equation. An ‘axisymmetric’ Green's function is defined which leads to a calculation procedure that parallels the two‐dimensional theory. The result is a numerical method which is efficient and accurate for a variety of axisymmetric potential flow problems.

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Boundary integral equation solution to axisymmetric potential flows: 1. Basic formulation

Abstract

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