A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations.

H. A. Rodriguez-Prada, Avelino E Saez

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The Boundary Element Method is applied to solve the stream function vorticity formulation of the steady state Navier Stokes equations. The procedure developed relies on the use of fundamental solutions that take into account the coupling between the differential equations through the vorticity term in the stream function equation. The nonlinear terms are considered as inhomogeneities in the development of the boundary integral equations and treated by means of direct iteration. The method allows the handling of no slip boundary conditions in a direct manner, avoiding iteration to find the vorticity values on no slip boundaries. The discretization of the resulting boundary integral equations is performed by placing the singular points outside the solution domain, as it is done in the Regular Boundary Element Method.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
PublisherPineridge Press Ltd
ISBN (Print)0906674646, 9780906674642
StatePublished - Jan 1 1987
Externally publishedYes

Fingerprint

Vorticity
Navier Stokes equations
Boundary integral equations
Boundary element method
Differential equations
Boundary conditions

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Rodriguez-Prada, H. A., & Saez, A. E. (1987). A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations. In Unknown Host Publication Title Pineridge Press Ltd.

A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations. / Rodriguez-Prada, H. A.; Saez, Avelino E.

Unknown Host Publication Title. Pineridge Press Ltd, 1987.

Research output: Chapter in Book/Report/Conference proceedingChapter

Rodriguez-Prada, HA & Saez, AE 1987, A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations. in Unknown Host Publication Title. Pineridge Press Ltd.
Rodriguez-Prada HA, Saez AE. A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations. In Unknown Host Publication Title. Pineridge Press Ltd. 1987
Rodriguez-Prada, H. A. ; Saez, Avelino E. / A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations. Unknown Host Publication Title. Pineridge Press Ltd, 1987.
@inbook{7038e7b3955a4cdeb79ae170355f5835,
title = "A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations.",
abstract = "The Boundary Element Method is applied to solve the stream function vorticity formulation of the steady state Navier Stokes equations. The procedure developed relies on the use of fundamental solutions that take into account the coupling between the differential equations through the vorticity term in the stream function equation. The nonlinear terms are considered as inhomogeneities in the development of the boundary integral equations and treated by means of direct iteration. The method allows the handling of no slip boundary conditions in a direct manner, avoiding iteration to find the vorticity values on no slip boundaries. The discretization of the resulting boundary integral equations is performed by placing the singular points outside the solution domain, as it is done in the Regular Boundary Element Method.",
author = "Rodriguez-Prada, {H. A.} and Saez, {Avelino E}",
year = "1987",
month = "1",
day = "1",
language = "English (US)",
isbn = "0906674646",
booktitle = "Unknown Host Publication Title",
publisher = "Pineridge Press Ltd",

}

TY - CHAP

T1 - A boundary element solution of the stream function vorticity formulation of the Navier-Stokes equations.

AU - Rodriguez-Prada, H. A.

AU - Saez, Avelino E

PY - 1987/1/1

Y1 - 1987/1/1

N2 - The Boundary Element Method is applied to solve the stream function vorticity formulation of the steady state Navier Stokes equations. The procedure developed relies on the use of fundamental solutions that take into account the coupling between the differential equations through the vorticity term in the stream function equation. The nonlinear terms are considered as inhomogeneities in the development of the boundary integral equations and treated by means of direct iteration. The method allows the handling of no slip boundary conditions in a direct manner, avoiding iteration to find the vorticity values on no slip boundaries. The discretization of the resulting boundary integral equations is performed by placing the singular points outside the solution domain, as it is done in the Regular Boundary Element Method.

AB - The Boundary Element Method is applied to solve the stream function vorticity formulation of the steady state Navier Stokes equations. The procedure developed relies on the use of fundamental solutions that take into account the coupling between the differential equations through the vorticity term in the stream function equation. The nonlinear terms are considered as inhomogeneities in the development of the boundary integral equations and treated by means of direct iteration. The method allows the handling of no slip boundary conditions in a direct manner, avoiding iteration to find the vorticity values on no slip boundaries. The discretization of the resulting boundary integral equations is performed by placing the singular points outside the solution domain, as it is done in the Regular Boundary Element Method.

UR - http://www.scopus.com/inward/record.url?scp=85040879480&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040879480&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:85040879480

SN - 0906674646

SN - 9780906674642

BT - Unknown Host Publication Title

PB - Pineridge Press Ltd

ER -