2009 Fiscal Year Final Research Report
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 |
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| Research Field |
Engineering fundamentals
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| Research Institution | The University of Tokyo |
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Principal Investigator |
YAGUCHI Takaharu The University of Tokyo, 大学院・情報工学系研究科, 助教 (10396822)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 数理工学 / 無反射境界条件 / Riemann不変量多様体 / 圧縮流体 |
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| 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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