A Karhunen-Loève based Galerkin approximation to Boussinesq equation

I. Hakan Tarman

doi:10.1016/S0045-7825(96)01048-1

A Karhunen-Loève based Galerkin approximation to Boussinesq equation

I. Hakan Tarman^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

5 Scopus citations

Abstract

The Boussinesq equation which is derived from the Navier-Stokes equation is approximated by the amplitude equations constructed through the Karhunen-Loève (K-L) based Galerkin projection. The construction is worked out in a systematic way and some numerical experiments are performed. It is shown numerically that K-L based Galerkin approximation provides a satisfactory and robust description of the dynamics with an involvement of a relatively low degrees of freedom.

Original language	English
Pages (from-to)	275-284
Number of pages	10
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	137
Issue number	3-4
DOIs	https://doi.org/10.1016/S0045-7825(96)01048-1
State	Published - 15 Nov 1996

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/S0045-7825(96)01048-1

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title = "A Karhunen-Lo{\`e}ve based Galerkin approximation to Boussinesq equation",

abstract = "The Boussinesq equation which is derived from the Navier-Stokes equation is approximated by the amplitude equations constructed through the Karhunen-Lo{\`e}ve (K-L) based Galerkin projection. The construction is worked out in a systematic way and some numerical experiments are performed. It is shown numerically that K-L based Galerkin approximation provides a satisfactory and robust description of the dynamics with an involvement of a relatively low degrees of freedom.",

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Y1 - 1996/11/15

N2 - The Boussinesq equation which is derived from the Navier-Stokes equation is approximated by the amplitude equations constructed through the Karhunen-Loève (K-L) based Galerkin projection. The construction is worked out in a systematic way and some numerical experiments are performed. It is shown numerically that K-L based Galerkin approximation provides a satisfactory and robust description of the dynamics with an involvement of a relatively low degrees of freedom.

AB - The Boussinesq equation which is derived from the Navier-Stokes equation is approximated by the amplitude equations constructed through the Karhunen-Loève (K-L) based Galerkin projection. The construction is worked out in a systematic way and some numerical experiments are performed. It is shown numerically that K-L based Galerkin approximation provides a satisfactory and robust description of the dynamics with an involvement of a relatively low degrees of freedom.

UR - https://www.scopus.com/pages/publications/0030291170

U2 - 10.1016/S0045-7825(96)01048-1

DO - 10.1016/S0045-7825(96)01048-1

M3 - Article

AN - SCOPUS:0030291170

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EP - 284

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3-4

ER -

A Karhunen-Loève based Galerkin approximation to Boussinesq equation

Abstract

ASJC Scopus subject areas

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