書誌事項
- タイトル別名
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- Mathematical Considerations for Fluidstructure Interaction Simulation of Heart Valves
- シンゾウベン ノ リュウタイ コウゾウレンセイシミュレーションホウ ニ カンスル スウリテキ コウサツ
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抄録
We introduce a new approach to simulate fluid-structure interaction of the heart valves. Our approach is based on the Lagrange multiplier method, thus similar to the fictitious domain method. However, unlike the existing approaches, we avoid interpolations of the fluid velocity on the interface with the structure, and introduce equations of continuity around the interface as the constraint conditions instead. Through some mathematical considerations based on a weak formulation of the Navier-Stokes equation, we show the validity of the approach. We also introduce another constraint based on the same idea to achieve stability in the analysis of open-close behavior of the heart valves. A couple of simulations of aortic valves are successfully shown.
収録刊行物
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- 応用数理
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応用数理 16 (2), 142-156, 2006
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390282680743689472
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- NII論文ID
- 110004758680
- 10021122146
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- NII書誌ID
- AN10288886
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- ISSN
- 09172270
- 24321982
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- NDL書誌ID
- 8023599
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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
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可