Abstract

In the previous study, the numerical stability of high-order upwind schemes adopted to the two-fluid model was systematically evaluated using a single linear model equation of the two-fluid model. It was demonstrated that the inclusion of an explicit diffusion term in the basic equation can remove the numerical instability when the high-order upwind scheme is used. However, it was not confirmed if these results were applicable to the two-fluid model since the model equation used cannot represent the characteristics of the two-fluid model perfectly. In this study, high-order upwind schemes were applied to the actual two-fluid model and the numerical stability under various conditions was examined. The results for the two-fluid model correspond well to those predicted by the model equation. Hence, it was confirmed that the numerical stability of the two-fluid model can be examined qualitatively with the linear model equation. It was also confirmed that the explicit diffusion term is effective for the two-fluid model calculation with the high-order upwind scheme.

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