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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/110222

    Title: Comparison of Implicit and explicit Preconditioning Riemann Slovers for the Liquid Shock and Cavitation Simulation
    Authors: Niu, Yang-Yao;Yang, Ming Jung
    Keywords: Multiphase Flow;Riemann;solver;Preconditioning;Condensation shock
    Date: 2016-07-24
    Issue Date: 2017-04-20 02:10:18 (UTC+8)
    Abstract: Here, the fully implicit and scalar ADI type implicit preconditioning formulations based on the Riemann solvers for multi-phase flows are performed. The numerical stability problem caused by the multi-scale speed of sound due to uncertain dissipation terms in the current schemes that can be resolved by rescaling the eigenvalues of the Euler type system equations to enhance computational convergence. This paper presents implicit pre-conditioning approaches which indicate similarly accurate results obtained with both schemes. The current used homogeneous two-phase mixture model with the assumption of kinematics and thermodynamics equilibriums. The thermodynamics behaviors of liquid phase, vapor phase and their phase transitional process are described by a temperature dependent hybrid equation of state which includes a mass-fraction averaged formula of water-vapor saturation process. The current work shows that the implicit schemes are capable of improving the computational efficiency over its explicit counterpart. Several benchmark tests are used for numerical validations.
    Relation: proceeding of WCCM XII & APCOM VI 2016 Congress
    Appears in Collections:[航空太空工程學系暨研究所] 會議論文

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