Extension of state-vector splitting to the navier-stokes equations

Carl F. Gooch; Hakan Öksüzoğlu

Extension of state-vector splitting to the navier-stokes equations

Carl F. Gooch, Hakan Öksüzoğlu

Department of Aeronautics and Astronautics

Research output: Contribution to conference › Paper › peer-review

2 Citations (Scopus)

Abstract

A multi-dimensional upwind scheme for solving the Euler equations has been extended to solve the Navier-Stokes equations. These methods share the property of not requiring body-fitted computational grids. A time advance scheme which is second-order accurate in time and space has been developed for use in conjunction with state-vector splitting to accurately resolve regions with significant gradients in flow quantities. The scheme has been tested on several simple viscous flow problems for which analytic solutions are known; the agreement of computation with theory is excellent.

Original language	English
Pages	832-840
Number of pages	9
Publication status	Published - 1993
Externally published	Yes
Event	11th Computational Fluid Dynamics Conference, 1993 - Orlando, United States Duration: 6 Jul 1993 → 9 Jul 1993

Conference

Conference	11th Computational Fluid Dynamics Conference, 1993
Country/Territory	United States
City	Orlando
Period	6/07/93 → 9/07/93

Bibliographical note

Publisher Copyright:
© 1993 by the American lnstitute of Aeronautics and Astronautics, Inc. All rights reserved.

Cite this

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title = "Extension of state-vector splitting to the navier-stokes equations",

abstract = "A multi-dimensional upwind scheme for solving the Euler equations has been extended to solve the Navier-Stokes equations. These methods share the property of not requiring body-fitted computational grids. A time advance scheme which is second-order accurate in time and space has been developed for use in conjunction with state-vector splitting to accurately resolve regions with significant gradients in flow quantities. The scheme has been tested on several simple viscous flow problems for which analytic solutions are known; the agreement of computation with theory is excellent.",

author = "Gooch, {Carl F.} and Hakan {\"O}ks{\"u}zoğlu",

note = "Publisher Copyright: {\textcopyright} 1993 by the American lnstitute of Aeronautics and Astronautics, Inc. All rights reserved.; 11th Computational Fluid Dynamics Conference, 1993 ; Conference date: 06-07-1993 Through 09-07-1993",

year = "1993",

language = "English",

pages = "832--840",

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TY - CONF

T1 - Extension of state-vector splitting to the navier-stokes equations

AU - Gooch, Carl F.

AU - Öksüzoğlu, Hakan

PY - 1993

Y1 - 1993

N2 - A multi-dimensional upwind scheme for solving the Euler equations has been extended to solve the Navier-Stokes equations. These methods share the property of not requiring body-fitted computational grids. A time advance scheme which is second-order accurate in time and space has been developed for use in conjunction with state-vector splitting to accurately resolve regions with significant gradients in flow quantities. The scheme has been tested on several simple viscous flow problems for which analytic solutions are known; the agreement of computation with theory is excellent.

AB - A multi-dimensional upwind scheme for solving the Euler equations has been extended to solve the Navier-Stokes equations. These methods share the property of not requiring body-fitted computational grids. A time advance scheme which is second-order accurate in time and space has been developed for use in conjunction with state-vector splitting to accurately resolve regions with significant gradients in flow quantities. The scheme has been tested on several simple viscous flow problems for which analytic solutions are known; the agreement of computation with theory is excellent.

UR - http://www.scopus.com/inward/record.url?scp=84998827990&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84998827990

SP - 832

EP - 840

T2 - 11th Computational Fluid Dynamics Conference, 1993

Y2 - 6 July 1993 through 9 July 1993

ER -

Extension of state-vector splitting to the navier-stokes equations

Abstract

Conference

Bibliographical note

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