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A Robust, Fully Adaptive Hybrid Level-Set/Front-Tracking method for Two-Phase Flows with an Accurate Surface Tension Computation

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Communications in Computational Physics 2010年第6期8卷 51-94页

作者： Hector D.Ceniceros Alexandre m.Roma Aristeu Silveira-Neto millena m.villar Department of mathematics University of California Santa BarbaraCA 93106USA Departamento de matematica Aplicada Universidade de Sao PauloCaixa Postal 66281CEP 05311-970Sao Paulo-SPBrasil Faculdade de Engenharia mecanica Universidade Federal de UberlandiaCEP 38400-902Uberlandia-MGBrasil

We present a variable time step,fully adaptive in space,hybrid method for the accurate simulation of incompressible two-phase flows in the presence of surface tension in two *** method is based on the hybrid level set/front-tracking approach proposed in[*** and ***,***.,205,391-400,2005].Geometric,interfacial quantities are computed from front-tracking via the immersed-boundary setting while the signed distance(level set)function,which is evaluated fast and to machine precision,is used as a fluid *** surface tension force is obtained by employing the mixed Eulerian/Lagrangian representation introduced in[***,***-Khalik,*** and ***,***.,203,493-516,2005]whose success for greatly reducing parasitic currents has been *** use of our accurate fluid indicator together with effective Lagrangian marker control enhance this parasitic current reduction by several orders of *** resolve accurately and efficiently sharp gradients and salient flow features we employ dynamic,adaptive mesh *** spatial adaption is used in concert with a dynamic control of the distribution of the Lagrangian nodes along the fluid interface and a variable time step,linearly implicit time integration *** present numerical examples designed to test the capabilities and performance of the proposed approach as well as three applications:the long-time evolution of a fluid interface undergoing Rayleigh-Taylor instability,an example of bubble ascending dynamics,and a drop impacting on a free interface whose dynamics we compare with both existing numerical and experimental data.

关键词： Front-tracking immersed boundary method level set method adaptive mesh re-finements semi-implicit methods multilevel multigrid closest point transform semi-backward difference formula

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