Possible application of Shan-Chen/Peng-Robinson model on dam break

[aaron]

Hello,

May I ask whether it is possible to apply the Shan-Chen/Peng-Robinson (multi-component and multi-phase, MPMC) model to a dam break case?

Consider a simple rectangular domain, where a small rectangle in the bottom-left corner is filled with water (or another liquid obeying a specific equation of state, EOS). The remainder of the domain is filled with gas (N₂, or an ideal gas obeying a different EOS than water). The top edge of the domain is set to a zero-pressure boundary condition, while the other three edges have a zero-velocity boundary condition.

The water undergoes a break stage under the effect of gravity, and the interaction between the water and gas is controlled by the MPMC model (assuming an isothermal scenario).

Compared to the droplet or contact angle cases typical for the MPMC model, can a dam break be simulated accurately, especially with respect to the pressure and velocity boundary conditions? I wonder if the lack of local momentum conservation in the MPMC model might trigger spurious results.

Thank you for your time.

Best wishes,
Aaron

[TimBingert]

Hi Aaron,

the MPMC model is more of a show-case of combining LBM with different EoS, even with ones for component mixtures and is therefore lacking appropriate boundary conditions which could be implemented by a user if really needed. It is only useful though, if you want to track moisture in the gas and dissolved gas in the liquid. You could also assume both phases as constant mixtures and model the two-phase dam break with a phase field model capable of density ratios (next release) or a single-component EoS with pseudo-potential model.

Hope this helps.

Kind regards,
Tim

[Author]

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