書誌事項
- タイトル別名
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- APPLICATION OF MULTIGRID METHOD TO THREE-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW ANALYSIS AROUND SHELL ROOFS
- シェル ヤネメン シュウヘン ノ ナガレ ノ 3ジゲン ヒアッシュクセイ ネンセイ リュウタイ カイセキ エノ マルチグリッドホウ ノ テキヨウ
この論文をさがす
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An efficient linear solver using a multigrid method is developed for solving the pressure Poisson equation. The three-dimensional incompressible viscous fluid flow analysis is performed for investigating dynamic behaviors of a shell roof under strong wind. The improved balancing tensor diffusivity method and fractional step method (IBTD+FS method) combined with the finite element method is used for discretizing the Navier-Stokes equation. In this scheme, the pressure Poisson equation is solved implicitly. Solution process of the equation, which is a large-scale system of linear equations, is the most computationally expensive part. In order to improve the computation speed, a preconditioning technique based on a multigrid method for the conjugate gradient method (CG method) is employed. A simple formulation that combines the diagonal-scaling preconditioner and coarse grid correction is proposed. In addition, a finite element mesh for a two-dimensional analysis is used as a coarse grid for the three-dimensional analysis. The proposed method is implemented in the fluid flow analysis code. Performance study of the proposed method is conducted by solving a number of illustrative examples. Computation speed of the proposed method is much faster than the CG method with a simple diagonal-scaling preconditioner.
収録刊行物
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- 日本建築学会構造系論文集
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日本建築学会構造系論文集 72 (618), 135-142, 2007
日本建築学会
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詳細情報 詳細情報について
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- CRID
- 1390001205671250816
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- NII論文ID
- 110006367030
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- NII書誌ID
- AN10438559
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- ISSN
- 18818153
- 13404202
- http://id.crossref.org/issn/13404202
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- NDL書誌ID
- 8913351
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可