"Expansion Functions for Two?dimensional Incompressible Fluid Flow in Arbitrary Domains".

J.P. Goedbloed

doi:10.1006/jcph.2000.6462

"Expansion Functions for Two?dimensional Incompressible Fluid Flow in Arbitrary Domains".

J.P. Goedbloed

Biophysics Photosynthesis/Energy

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics on the new domain such that the kinetic energy is diagonal and the separate components satisfy all of the required physical boundary conditions. © 2000 Academic Press.

Original language	English
Pages (from-to)	283-297
Journal	Journal of Computational Physics
Volume	160
DOIs	https://doi.org/10.1006/jcph.2000.6462
Publication status	Published - 2000

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10.1006/jcph.2000.6462

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title = "{"}Expansion Functions for Two?dimensional Incompressible Fluid Flow in Arbitrary Domains{"}.",

abstract = "Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics on the new domain such that the kinetic energy is diagonal and the separate components satisfy all of the required physical boundary conditions. {\textcopyright} 2000 Academic Press.",

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year = "2000",

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journal = "Journal of Computational Physics",

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AB - Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics on the new domain such that the kinetic energy is diagonal and the separate components satisfy all of the required physical boundary conditions. © 2000 Academic Press.

U2 - 10.1006/jcph.2000.6462

DO - 10.1006/jcph.2000.6462

M3 - Article

SN - 0021-9991

VL - 160

SP - 283

EP - 297

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

"Expansion Functions for Two?dimensional Incompressible Fluid Flow in Arbitrary Domains".

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