定常一次元一圧力二流体モデルの数値的安定性

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  • Numerical Stability of the One-Dimensional One-Pressure Steady Two-Fluid Model.
  • テイジョウ 1ジゲン 1 アツリョク 2 リュウタイ モデル ノ スウチテキ

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Numerical stability of a one-dimensional one-pressure steady two-fluid model was analyzed under a wide range of flow conditions. The stability was evaluated by making use of a minimum relaxation distance, which was deduced from linearized differential equations of the two-fluid model. It was confirmed by numerical experiments that the obtained minimum relaxation distance corresponds to a maximum step size for stable numerical integration of the two-fluid model. Two types of constitutive equations for the interfacial drag force and three correlations for the virtual mass force were incorporated into the model to examine effects of interfacial momentum transfer on the numerical stability. It was found that the stability is improved not only by the virtual mass force but also by changing the functional form of the interfacial drag force. Furthermore, the effects of volumetric fluxes, pressure, pipe diameter and physical properties on the stability were also clarified by the stability analysis.

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