1999 Fiscal Year Final Research Report Summary
A FANDAMENTAL STUDY ON COMPRESSIBLE ANALYSES USING KINETIC FLOW MODELS
| Project/Area Number |
09305015
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fluid engineering
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| Research Institution | Chiba University |
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Principal Investigator |
HONMA Hiroki Graduate School of Science and Technology, Chiba University Professor, 大学院・自然科学研究科, 教授 (90009233)
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| Co-Investigator(Kenkyū-buntansha) |
ARAI Tsutomu Tokyo Dennki University, Fac. Sci. & Tech., Professor, 理工学部, 教授 (80130293)
SOGA Takeo Nagoya University, Graduate school of Engineering, Professor, 工学研究科, 教授 (00023284)
SATOFUKA Nobuyuki Kyoto Institute of Technology, Fac. of Eng. Professor, 工芸学部, 教授 (30027891)
MATSUMOTO Yoichiro University of Tokyo, Graduate School of Engineering, Professor, 工学研究科, 教授 (60111473)
NANBU Kenichi Tohoku University, Institute of Fluid Sciences, Professor, 流体科学研究所, 教授 (50006194)
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| Project Period (FY) |
1997 – 1999
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| Keywords | BOLTZMANN EQUATION / KINETIC MODEL / DIRECT SIMULATION / MOLECULAR DYNAMICS / NAVIER-STOKES EQUATION |
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| Research Abstract |
The present research aims at investigating the molecular approaches to compressible flow analyses, considering the application to a wide range of flow phenomena. In particular, we focus our attention onto the development of the numerical models for solving the Boltzmann equation. The models includes the kinetic model approaches, the discrete molecular velocity methods, the lattice Boltzmann methods, the direct simulation Monte Carlo methods, and the Navier-Stokes equations. The results are summarized as follows. 1. Study of molecular approaches : (1) A unique method for solving the Landau-Fokker-Plank equation is discovered for arbitrary cases of the velocity distribution functions of charged particles in plasmas. (2) The lattice Boltzmann method is found to be a promising method in CFD, especially for incompressible flow analyses. (3) The integrated Boltzmann equation is found to be applicable to various collision models. (4) Several kinetic model equations are proposed on the basis of the higher moments method. (5) The discrete molecular velocity method is improved in accelerating the calculation and widening the application. (6) Combining quantum mechanics and molecular dynamics with rarefied gas dynamics, a synthetic method is developed to analyze the rarefied gas flow with excitation of the internal degrees of freedom. 2. Application to compressible flows : Molecular and continuum approaches are successfully applied to the following problems for widening their applicability. (1) Turbulence and vortex. (2) High speed flows (jets, shock waves, etc.). (3) Plasmas and high-temperature gas flows. (4) Wall boundary conditions (5) Phase change.
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