2012 Fiscal Year Final Research Report
Numerical Analysis of Viscoelastic Flow Problems
| Project/Area Number |
21740078
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu University |
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Principal Investigator |
TAGAMI Daisuke 九州大学, マス・フォア・インダストリ研究所, 准教授 (40315122)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 粘弾性流れ / 3場ナヴィエ・ストークス方程式 / オルドロイドB方程式 / ギースカスモデル / PTTモデル / 圧力安定化有限要素法 / 最適誤差評価 / 急縮小管流れ |
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| Research Abstract |
Error analysis and numerical experiments are performed for conventional mixed finite element methods and pressure stabilized finite element methods of viscoelastic flow problems based on some linear and nonlinear constitutive models. When using methods of manufactured solutions, error estimates established from the mathematical justification have been numerically confirmed; when using a benchmark problem “abrupt contraction channel flow”, the numerical vortex length has been consistent with the experimental one. Therefore, the research has contributed to improvement of the reliability of numerical schemes.
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