Laurent Desvillettes 教授 & Maria Groppi 教授 特別講演会

主催: 21世紀COEプログラム「動的機能機械システムの数理モデルと設計論」―複雑系の科学による機械工学の新たな展開―
日時: 2006年02月24日(金) 14:00〜
場所: 京都大学大学院 工学研究科 航空宇宙工学専攻(工学部11号館) 2階 会議室

講演1

講演者: Prof. Laurent Desvillettes (Centre de Mathematiques et Leurs Applications, Ecole Normale Superieure de Cachan, France)
講演題目: Modeling, analysis and simulation of sprays
講演要旨: Sprays appear in many industrial devices (diesel engines, rockets, etc.) and also in the study of the atmosphere (clouds). Their modeling can in certain situations be made through the use of gas-particles methods (also called Eulerian/Lagrangian, or kinetic/hyperbolic). It consists from the mathematical point of view in coupling a kinetic equation for droplets (of Vlasov-Boltzmann type) and an Euler (or Navier-Stokes) equation for the underlying gas. We describe some of the difficulties arising in the modeling, the mathematical analysis and the numerical simulation of those methods.

講演2

講演者: Prof. Maria Groppi (Department of Mathematics, University of Parma, Italy)
講演題目: On the BGK approximation of reactive flows
講演要旨: A recently proposed consistent BGK--type approach for chemically reacting gas mixtures is discussed, which accounts for the correct rates of transfer for mass, momentum and energy, and recovers the exact conservation equations and collision equilibria, including mass action law. In particular, the problem of an appropriate choice of the relaxation times, which represent the crucial parameters of the model, is addressed by testing BGK results versus the only exact analytical solutions available in the literature for mixtures, namely the BKW modes for space-homogeneous inert Maxwellian molecules. In addition, a numerical approximation of the reactive BGK equations in axially symmetric space-dependent conditions is proposed and solutions of the Riemann problem are presented.

京都大学大学院 工学研究科 機械理工学専攻 マイクロエンジニアリング専攻 航空宇宙工学専攻
情報学研究科 複雑系科学専攻
京都大学 国際融合創造センター
拠点リーダー 土屋和雄(工学研究科・航空宇宙工学専攻)
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