发表机构
UCLouvain; Univ. Grenoble Alpes, Inria（天主教鲁汶大学; 格勒诺布尔阿尔卑斯大学, 法国国家信息与自动化研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究基于粒子有限元法模拟多相流时界面跟踪的问题，提出动态网格自适应策略，为离散界面段分配空节点圆盘解耦界面物理与网格大小，经基准测试验证其能力、准确性、可扩展性及几何通用性。
AI 中文摘要
本文提出了一个基于粒子有限元法（PFEM）的强大全拉格朗日框架，能够模拟任意数量不混溶相的多相流。界面跟踪方法有时会受到数值扩散影响，或使底层网格分辨率过早决定拓扑变化。为解决这些限制，我们引入一种动态网格自适应策略，能自然保持尖锐几何界面，不依赖经典约束三角剖分。为离散界面各段分配空节点圆盘，确保边是德劳内三角剖分的一部分。我们的方法将界面物理与网格大小解耦，允许集成子网格物理模型来独立于用户定义的网格大小正确控制拓扑变化。该框架的能力和准确性通过标准多相基准测试得到验证，在保持极低总节点数的同时与参考值紧密匹配。我们展示了该方法的可扩展性和几何通用性，特别是通过具有挑战性的16相瑞利 - 泰勒模拟。
英文摘要
This paper presents a robust, fully Lagrangian framework based on the Particle Finite Element Method (PFEM) capable of simulating multiphase flows with an arbitrary number of immiscible phases. Interface-tracking methods can sometimes suffer from numerical diffusion or allow the underlying mesh resolution to prematurely dictate topological changes. To address these limitations, we introduce a dynamic mesh adaptation strategy that naturally preserves sharp geometric interfaces without relying on classical constrained triangulation. A node-empty disk is assigned to each segment of the discretized interface, ensuring that the edge is part of the Delaunay triangulation. Our approach decouples the interface physics from the grid size, allowing the integration of sub-grid physical models to properly govern topological changes independently of the user-defined mesh size. The capabilities and accuracy of the framework are validated against standard multiphase benchmarks, closely matching references while maintaining a remarkably low overall node count. We demonstrate the scalability and geometric versatility of the method, in particular with a challenging 16-phase Rayleigh-Taylor simulation.
