1995 Fiscal Year Final Research Report Summary
Basic of Numerical Analysis for a Variety of Fluids under Complex Conditions and its Application to Engineering Problems
| Project/Area Number |
05650060
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
Engineering fundamentals
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
MIZUTA Yo Hokkaido Univ., Fac. of Eng., Res. Ass., 工学部, 助手 (10133703)
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| Project Period (FY) |
1993 – 1995
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| Keywords | Computational Fluid Dynamics / Boundary Condition / Moving Boundary / Free Surface / Density Interface / Magnetic Fluid / Floating Body / Cosmic Fluid |
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| Research Abstract |
This reasearch has developed a numerical method called "deformable-cell method" for fluids under complex conditions, and applied it to engineering problems. Complex conditions mean the domain of analysis not reactangular, moving boundaries with complex boundary conditions, and special external forces. The method is based on integral-type laws of conservation in cells which is deformable in accordance with moving boundaries, and various boundary conditions are treated in a unified manner there. The themes specified in this research are :
1. Free surface and density interface waves : Vertical analysis on free surface and desity interface waves in a two-layred fluid on a slope was performed. In connection with this problem, "open boundary condition" and "tiny cell" were investigated.
2. Interacting bodies and fluid : Problems on flows in vivo/in vitro or floating bodies was supposed, but they are the themes in the near future together with "nonmagnetic body driven by magnetic field in magne
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tic fluid" related with the next item.
3. Fluid under special external force : "Waves in magnetic fluid" have been investigated both theoretically and numerically. The following are the results of theretical analysis : (1) Stability of the resonant waves on the free surface or on the density interface by alternating magnetic fields can be investigated by the Mathieu equation or its extension ; (2) The method of conformal mapping describes well the strongly-nonlinear multivalued free surface shapes under strong magnetic field. They will give guides for numerical and experimental researches. In numerical analysis, resnant waves caused by alternating magnetic fields were analyzed by the deformable-cell method successfully with only a small change of its framework. The fluid under smal gravity is the theme in the future.
4. Basis on computational fluid dynamics : A "system for three-dimensional analysis of fluids for wide uses" has been newly constructed. This system supoprts extensively creating computer codes with a large original part, and diminished the loads of programming and managing data by : (1) The loop procedures can be used commonly in all parts of the code ; (2) Global numbers can be acquired in a unified manner at any part of the code. This system is considered as the basis for stocking positively and systematically the knowhow on stable and accurate methods and diagnoses. Less
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