| Abstract: |
| In this talk, I will present a novel computational modeling approach for investigating fluid structure interactions with moving contact lines. By applying the generalized Onsager principle, we develop a coupled hydrodynamics and phase-field system in a thermodynamically consistent manner. The resulting partial differential equation (PDE) model consists of the Navier Stokes equations and a nonlinear Allen Cahn type equation, with volume conservation enforced through an additional penalty term. We propose a fully discrete, structure preserving numerical scheme that combines several techniques to solve this coupled PDE system effectively and accurately. Finally, various numerical simulations will be shown to verify the model`s capabilities and demonstrate the scheme`s effectiveness, accuracy, and stability. |
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