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Three-dimensional, fully adaptive simulations of phase-field fluid models

机译:相场流体模型的三维完全自适应仿真

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We present an efficient numerical methodology for the 3D computation of incompressible multi-phase flows described by conservative phase-field models. We focus here on the case of density matched fluids with different viscosity (Model H). The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow's disparate scales at optimal cost. Only five linear solvers are needed per time-step. Moreover, all the adaptive methodology is constructed from scratch to allow a systematic investigation of the key aspects of AMR in a conservative, phase-field setting. We validate the method and demonstrate its capabilities and efficacy with important examples of drop deformation, Kelvin-Helmholtz instability, and flow-induced drop coalescence.
机译:我们为保守相场模型描述的不可压缩多相流的3D计算提供了一种有效的数值方法。在此,我们重点讨论具有不同粘度(型号H)的密度匹配流体的情况。数值方法采用自适应网格细化(AMR)以及有效的半隐式时间离散化策略和线性多层多网格,以放宽高阶稳定性约束并以最佳成本捕获流的不同比例。每个时间步仅需要五个线性求解器。此外,所有自适应方法都是从头开始构建的,以允许在保守的相场环境中对AMR的关键方面进行系统的研究。我们验证了该方法,并通过液滴变形,Kelvin-Helmholtz不稳定性和流动引起的液滴聚结的重要实例证明了其功能和功效。

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