一种具有持久结构跟踪的保守混合欧拉-拉格朗日多尺度空化方法
A Conservative Hybrid Eulerian-Lagrangian Method with Persistent Structure Tracking for Multiscale Cavitation
- Worcester Polytechnic Institute（伍斯特理工学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
提出一种带持久结构跟踪的保守混合欧拉-拉格朗日框架，通过物理预测关联观测并保留历史，实现多尺度空化中蒸汽结构的准确转换与质量动量守恒。
AI中文摘要：
用于多尺度空化的混合欧拉-拉格朗日方法在欧拉公式中表示网格分辨的蒸汽结构，并在拉格朗日描述中表示未分辨的气泡，随着结构的演化需要在两种表示之间进行转换。现有方法通常将这些转换视为局部几何操作，而分辨结构在每个时间步独立识别，限制了时间历史在表示变化中的使用。本工作提出了一种具有嵌入式、即时持久结构跟踪的保守混合欧拉-拉格朗日框架。分辨的蒸汽结构通过连通分量标记检测，并通过确定性并行程序在处理器边界间协调。连续观测通过基于物理的结构位置和大小预测进行关联，在诞生、消亡、破碎、聚结和表示转换过程中保持持久身份和历史。保留的历史使得能够采用历史感知的欧拉到拉格朗日转换准则，并用气泡动力学模型所需的半径和半径变化率信息初始化拉格朗日气泡。保守的双向传递算子保持蒸汽质量和线性动量，同时防止同一蒸汽体积的重复表示。经典测试验证了通过破碎、聚结和近距离交叉的持久跟踪、重复表示切换、质量和动量守恒以及确定性并行行为。
英文摘要：
Hybrid Eulerian Lagrangian methods for multiscale cavitation represent grid resolved vapor structures in an Eulerian formulation and unresolved bubbles in a Lagrangian description, requiring transitions between the two representations as structures evolve. Existing approaches typically treat these transitions as local geometric operations, while resolved structures are identified independently at each time step, limiting the use of temporal history in representation changes. This work presents a conservative hybrid Eulerian Lagrangian framework with embedded, on the fly persistent structure tracking. Resolved vapor structures are detected using connected component labeling and reconciled across processor boundaries through a deterministic parallel procedure. Successive observations are associated using physics informed predictions of structure position and size, maintaining persistent identities and histories through birth, death, breakup, coalescence, and representation transitions. The retained history enables history aware Eulerian to Lagrangian transition criteria and initialization of Lagrangian bubbles with the radius and radius rate information required by the bubble dynamics model. Conservative bidirectional transfer operators preserve vapor mass and linear momentum while preventing simultaneous representation of the same vapor volume. Canonical tests verify persistent tracking through fragmentation, coalescence, and close crossings, repeated representation switching, conservation of mass and momentum, and deterministic parallel behavior.
