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Abstract

In this work we consider the Navier–Stokes–Korteweg equations, a diffuse-interface model describing liquid–vapor phase transitions. A numerical scheme for this model is constructed based on functional entropy variables and a new time integration concept. The fully discrete scheme is unconditionally stable in entropy and second-order time-accurate. Isogeometric analysis is utilized for spatial discretization. The boiling problem is numerically investigated by making proper assumptions on transport parameters and boundary conditions. Compared with traditional multiphase solvers, the dependence on empirical data is significantly reduced, and this modeling approach provides a unified predictive tool for both nucleate and film boiling. Both two- and three-dimensional simulation results are provided.

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Acknowledgements

This work was partially supported by the Office of Naval Research under contract number N00014-08-1-0992.

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Correspondence to Ju Liu .

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Liu, J., Hughes, T.J.R. (2016). Isogeometric Phase-Field Simulation of Boiling. In: Bazilevs, Y., Takizawa, K. (eds) Advances in Computational Fluid-Structure Interaction and Flow Simulation. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-40827-9_17

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