2009 Fiscal Year Final Research Report
Development of fundamental technologies for next-generation CAD system using subdivision schemes
Project/Area Number |
20760101
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Design engineering/Machine functional elements/Tribology
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Research Institution | The Institute of Physical and Chemical Research |
Principal Investigator |
KAWAHARADA Hiroshi The Institute of Physical and Chemical Research, VCADモデリングチーム, 研究員 (40462676)
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Project Period (FY) |
2008 – 2009
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Keywords | ボリューム細分割 / 有限要素法 / 無体積セル / ボリュームメッシュの高品位化 |
Research Abstract |
Volume subdivision which is an extension of surface subdivision scheme generates a smooth parameterization (cells) for the initial object (volume mesh). Thus, there are relatively no tiny elements in the subdivided volume mesh. This is a useful property for the FEM analysis, because a large difference of volumes between two adjacent cells causes a large error of the FEM analysis. However, previous works did not mention this usefulness, because (we guess) the subdivided volume mesh has planar cells (at the limit, there are completely planar cells). Planar cells make the FEM analysis impossible. Such planar cells are generated by volume subdivisions near boundary. Thus, we proposed new boundary stencils for a volumetric subdivision in order not to generate planar cells.
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