Extensions to Karhunen-Loève based approximation of complicated phenomena

I. Hakan Tarman; Lawrence Sirovich

doi:10.1016/S0045-7825(97)00195-3

Extensions to Karhunen-Loève based approximation of complicated phenomena

I. Hakan Tarman^*
, Lawrence Sirovich

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

28 Scopus citations

Abstract

Extensions to the Karhunen-Loève transform applied to complicated phenomena are demonstrated on Rayleigh-Benard thermal convection phenomena. The extensions deal with the role of the mean flow, and with the enhancement of the robustness of the Karhunen-Loève basis when used for a range of parameter values, such as Rayleigh number, other than the particular values at which Karhunen-Loève basis is generated.

Original language	English
Pages (from-to)	359-368
Number of pages	10
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	155
Issue number	3-4
DOIs	https://doi.org/10.1016/S0045-7825(97)00195-3
State	Published - Mar 1998

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(97)00195-3

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title = "Extensions to Karhunen-Lo{\`e}ve based approximation of complicated phenomena",

abstract = "Extensions to the Karhunen-Lo{\`e}ve transform applied to complicated phenomena are demonstrated on Rayleigh-Benard thermal convection phenomena. The extensions deal with the role of the mean flow, and with the enhancement of the robustness of the Karhunen-Lo{\`e}ve basis when used for a range of parameter values, such as Rayleigh number, other than the particular values at which Karhunen-Lo{\`e}ve basis is generated.",

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AU - Tarman, I. Hakan

AU - Sirovich, Lawrence

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AB - Extensions to the Karhunen-Loève transform applied to complicated phenomena are demonstrated on Rayleigh-Benard thermal convection phenomena. The extensions deal with the role of the mean flow, and with the enhancement of the robustness of the Karhunen-Loève basis when used for a range of parameter values, such as Rayleigh number, other than the particular values at which Karhunen-Loève basis is generated.

UR - https://www.scopus.com/pages/publications/0032024948

U2 - 10.1016/S0045-7825(97)00195-3

DO - 10.1016/S0045-7825(97)00195-3

M3 - Article

AN - SCOPUS:0032024948

SN - 0045-7825

VL - 155

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EP - 368

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3-4

ER -

Extensions to Karhunen-Loève based approximation of complicated phenomena

Abstract

ASJC Scopus subject areas

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