Generalized numerical formulation for multi-moment constrained high resolution schemes for practical use
| Project/Area Number |
24560187
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Fluid engineering
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
XIAO Feng 東京工業大学, 総合理工学研究科(研究院), 准教授 (50280912)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | 高精度数値解法 / 圧縮性流体 / 浅水波モデル / 保存解法 / マルチ・モーメント制約 / WENO再構築 / 衝撃波 / 数値振動 / 数値流体力学 / 高精度解法 / 実用性 / 流束再構築 / 非構造格子 / 圧縮性流れ / 数値解法 / 高精度スキーム / 多相流 / 国際研究者交流 / 台湾：中国 |
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| Outline of Final Research Achievements |
(1) A generalized numerical formulation has been developed to provide a base for designing new schemes with various constraints. The guideline to choose the proper multi-moment constraints for the desired numerical properties has been investigated through both theoretical and numerical analysis. (2) A novel 4th order high resolution scheme, MCV-WENO4, has been proposed and verified to be of advantage in comparison with other existing methods. (3) An efficient and conservative collocation method, Gauss-Legendre point based conservative collocation (GLPCC) method, has been proposed by using the collocation constraints. A three-point scheme of fifth-order accuracy has been adopted to develop the global shallow-water model on the cubed sphere grid. (4) A multi-moment finite volume method has been developed on unstructured grids with arbitrary mesh elements, which provides a numerical framework that well balances accuracy, efficiency and robustness for practical applications.
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Report
(4 results)
Research Products
(31 results)
