Diffuse interface relaxation model for two-phase compressible flows with diffusion processes

Zhang, C.; Menshov, I.; Wang, L.; Shen, Z.

Авторы: Zhang Chao, Menshov Igor, Wang Lifeng, Shen Zhijun
Журнал: Journal of Computational Physics
Том: 466
Год издания: 2022
Издательство: Academic Press
Местоположение издательства: United States
Первая страница: 1
Последняя страница: 39
Номер статьи: 111356
DOI: 10.1016/j.jcp.2022.111356
Аннотация: The paper addresses a two-temperature model for simulating compressible two-phase flowtaking into account diffusion processes related to the heat conduction and viscosity of thephases. This model is reduced from the two-phase Baer-Nunziato model in the limit ofcomplete velocity relaxation and consists of the phase mass and energy balance equations,the mixture momentum equation, and a transport equation for the volume fraction. Termsdescribing effects of mechanical relaxation, temperature relaxation, and thermal conductionon volume fraction evolution are derived and demonstrated to be significant for heatconduction problems. The thermal conduction leads to instantaneous thermal relaxation sothat the temperature equilibrium is always maintained in the interface region with meetingthe entropy relations. A numerical method is developed to solve the model governingequations that ensures the pressure-velocity-temperature (PVT) equilibrium condition inits high-order extension. We solve the hyperbolic part of the governing equations withthe Godunov method with the HLLC approximate Riemann solver. The non-linear parabolicpart is solved with an efficient Chebyshev explicit iterative method without dealingwith large sparse matrices. To verify the model and numerical methods proposed, wedemonstrate numerical results of several numerical tests such as the multiphase shocktube problem, the multiphase impact problem, and the planar ablative Rayleigh–Taylorinstability problem.
Добавил в систему: Меньшов Игорь Станиславович

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