Sharp surface tension model with pressure discontinuity and refined curvature for multiphase particle methods

Wang, Z. ; 松本 俊慶 ; 柴本 泰照 ; Duan, G.*

Wang, Z.; Matsumoto, Toshinori; Shibamoto, Yasuteru; Duan, G.*

In this study, we develop a novel sharp surface tension (SST) model for multiphase particle methods. Our approach integrates surface tension directly into pressure computation, enabling precise representation of pressure discontinuities across interfaces and effectively mitigating parasitic currents. In addition, to improve curvature accuracy, particularly in scenarios involving topological changes, a co-directional scheme is proposed to faithfully consider interfacial normal vectors. Furthermore, we reconstruct the interfacial particle shifting scheme to separately address tangential, normal, and repulsive components, effectively suppressing the common problem of interface particle mixing in multiphase particle methods. The effectiveness and reliability are rigorously validated through a series of numerical tests, including the Rayleigh-Taylor instability, curvature verification, droplet deformation and coalescence, as well as bubble rising and coalescence. The results demonstrate the superior accuracy and robustness of the proposed method, marking a significant advancement in simulations of multiphase flow with surface tension.