Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points

Fujima Shoichi; Tabata Masahisa; Fukasawa Yasuji

doi:10.1016/0045-7825(94)90021-3

Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points

Fujima Shoichi, Tabata Masahisa^*, Fukasawa Yasuji

^*Corresponding author for this work

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

20 Citations (Scopus)

Abstract

A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.

Original language	English
Pages (from-to)	109-131
Number of pages	23
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	112
Issue number	1-4
DOIs	https://doi.org/10.1016/0045-7825(94)90021-3
Publication status	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Computer Science Applications
Computational Mechanics
Engineering(all)

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10.1016/0045-7825(94)90021-3

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abstract = "A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.",

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AU - Shoichi, Fujima

AU - Masahisa, Tabata

AU - Yasuji, Fukasawa

PY - 1994

Y1 - 1994

N2 - A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.

AB - A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.

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Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points

Abstract

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