An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensional cases

Juan Lopez; F. Marques; Jie Shen

doi:10.1006/jcph.2002.6993

An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensional cases

Juan Lopez, F. Marques, Jie Shen

Mathematical and Statistical Sciences, School of (SoMSS)

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

64 Scopus citations

Abstract

An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.

Original language	English (US)
Pages (from-to)	384-401
Number of pages	18
Journal	Journal of Computational Physics
Volume	176
Issue number	2
DOIs	https://doi.org/10.1006/jcph.2002.6993
State	Published - Mar 1 2002

Keywords

Navier-Stokes
Projection method
Rotating waves
Spectral-Galerkin method

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.2002.6993

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title = "An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensional cases",

abstract = "An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.",

keywords = "Navier-Stokes, Projection method, Rotating waves, Spectral-Galerkin method",

author = "Juan Lopez and F. Marques and Jie Shen",

note = "Funding Information: We thank Alvaro Meseguer for his help with the 3D plots. This work was supported by NSF Grants DMS-9706951, DMS0074283, INT-9732637, and CTS-9908599 (USA), DGICYT Grant PB97-0685, and DGU Grant 1999BEAI400103 (Spain).",

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T1 - An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensional cases

AU - Lopez, Juan

AU - Marques, F.

AU - Shen, Jie

N1 - Funding Information: We thank Alvaro Meseguer for his help with the 3D plots. This work was supported by NSF Grants DMS-9706951, DMS0074283, INT-9732637, and CTS-9908599 (USA), DGICYT Grant PB97-0685, and DGU Grant 1999BEAI400103 (Spain).

PY - 2002/3/1

Y1 - 2002/3/1

N2 - An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.

AB - An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.

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KW - Projection method

KW - Rotating waves

KW - Spectral-Galerkin method

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An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensional cases

Abstract

Keywords

ASJC Scopus subject areas

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