Finite-Element Method for Three-Dimensional Incompressible Viscous Flow Using Simultaneous Relaxation of Velocity and Bernoulli Function : Flow in a Lid-Driven Cubic Cavity at Re=5000
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説明
A simple finite-element method for unsteady incompressible viscous flow is presented. This method is a simplified version of the GSMAC (generalized simplified marker and cell) finite-element method, and it is applicable to large systems. Navier-Stokes equations in rotational form and the equation of continuity are employed as the governing equations. A time-dependent solution is obtained by the following procedures. (1) Prediction of velocity field by explicit time advancement. (2) Correction of both velocity and the Bernoulli function by simultaneous relaxation satisfying the equation of continuity. Unsteady flow in a lid-driven cubic cavity at the Reynolds number of 5000 is numerically investigated to verify the present method. Velocity profiles in the cavity are in good agreement with the experimental results of Prasad and Koseff. The present method is stable in three-dimensional analysis, and nonphysical pressure oscillations are not observed.
収録刊行物
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- JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties
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JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties 35 (3), 346-353, 1992
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390282680401834624
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- NII論文ID
- 130006910581
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- ISSN
- 09148817
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
