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 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Kyushu University |
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)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
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 / 簡略化オルドロイドB方程式 / 有限要素法 / 急縮小流れ / 粘弾性流れ問題 / 簡略化オルドロイドB方程式 / 3体ナヴィエ・ストークス方程式 / PCクラスター |
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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Report
(5 results)
Research Products
(45 results)
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[Presentation] 粘弾性の数理モデル2012
Author(s)
田上大助
Organizer
ワークショップ:"連続体力学の現象と数理II"
Place of Presentation
九州大学(福岡市)
Year and Date
2012-02-21
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