Development of Lagrange-Galerkin methods for non-Newtonian fluid flows
| Project/Area Number |
26800091
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Kanazawa University (2016-2017)
Waseda University (2014-2015) |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 粘弾性流体 / 有限要素法 / 特性曲線 / 誤差評価 / 圧力の誤差評価 / Peterlin 粘弾性流体モデル / 非ニュートン流体 / 特性曲線法 / 安定性 / 収束性 |
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| Outline of Final Research Achievements |
The purpose of this research is development, analysis and computation of Lagrange-Galerkin schemes for non-Newtonian fluid flow models, where the meaning of Lagrange-Galerkin scheme is a finite element scheme based on the method of characteristics. For that purpose, we proposed nonlinear and linear Lagrange-Galerkin schemes for a non-Newtonian fluid flow model called the Peterlin viscoelastic model after the establishment of the optimal error estimates of the stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. We finally obtained the optimal error estimates of the two Lagrange-Galerkin schemes for a simplified (Oseen-type) Peterlin viscoelastic model. The theoretical results as well as numerical results were summarized in the two papers published in the journal ESAIM: M2AN.
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Report
(5 results)
Research Products
(59 results)
