Development of a nonreflecting boundary condition based on the Riemann invariant manifold
Project/Area Number |
19760051
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Engineering fundamentals
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Research Institution | The University of Tokyo |
Principal Investigator |
YAGUCHI Takaharu The University of Tokyo, 大学院・情報工学系研究科, 助教 (10396822)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
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Budget Amount *help |
¥3,940,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥540,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,600,000 (Direct Cost: ¥1,600,000)
|
Keywords | 数理工学 / 無反射境界条件 / Riemann不変量多様体 / 圧縮流体 / 計算物理 / 離散変分法 / 人工的境界条件 / Euler方程式 / 計算空力音響学 |
Research Abstract |
Nonreflecting boundary conditions are of importance in numerical simulations of compressive fluid. In this research I developed a new nonreflecting boundary condition based on the Riemann invariant manifold. An improvement of this boundary condition was found to be same as Thompson's boundary condition, and this provided a new derivation of Thompson's boundary condition and a stability analysis. Researches on the discrete variational method are also performed in order to stabilize this boundary condition. As a result, some extensions of the discrete variational method are achieved.
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Report
(4 results)
Research Products
(32 results)