arXiv:2608.29355cs.AIcs.LG2026-08

用自适应分块压缩船体流场数据,提升预测效率

APPSolver: Adaptive Patch Partitioning for Point-Wise Ship Flow Prediction on Unstructured Meshes

论文配图:APPSolver: Adaptive Patch Partitioning for Point-Wise Ship Flow Prediction on Unstructured Meshes
图 1 · 摘自论文原文
  • 基于确定性四叉树对船体流场切片进行自适应分块
  • 相比均匀划分,预测误差降低16.4%-24.9%,计算量减少至1.309毫秒/次
  • 适合需要高效流场预测的船舶水动力仿真场景

大规模非均匀点集使直接基于注意力机制的代理建模在船舶水动力模拟中成本高昂。本文提出APPSolver,一种基于自适应分块(APP)的逐点流场预测框架,该方法对从船体CFD模拟中提取的固定二维水平切片采用确定性四叉树表示,近船体区域分配更细分块,远离区域则更粗。该方法对分块内容进行下采样,并将预测结果恢复至完整参考点集。在修正协议下——即先构建自然的$(t,t+1)$时间对再分割、复用训练集归一化统计量、报告三个模型种子——学习型分词器精度优于APP-Transformer,且持久性基线在所有三个ShipBench船型上的一步预测MAE更低。因此,APP的优势在于计算效率而非普适预测性能:以代表性DTC输入为例,APP-Transformer每前向传播需1.815 GFLOPs和1.309毫秒,而对比消融实验显示,自适应分块相较学习切分的均匀分区可使MAE相对降低16.4%–24.9%。条件编码器在留一船外评估中带来设置相关增益,但当前绝对下一步状态目标未能建立准确的长时序动态。结果表明,APP是一种具有明确精度-效率权衡的紧凑空间表示。代码已开源。

原文摘要 · Abstract (English)

Large non-uniform point sets make direct attention-based surrogate modeling costly for ship hydrodynamics. We introduce APPSolver, a point-wise flow-prediction framework built around Adaptive Patch Partitioning (APP), a deterministic quadtree representation for fixed two-dimensional horizontal slices extracted from ship CFD simulations. APP assigns finer patches near the hull and coarser patches farther away, downsamples patch contents, and recovers predictions to the full reference point set. Under a corrected protocol that constructs natural $(t,t+1)$ pairs before splitting, reuses training-set normalization statistics, and reports three model seeds, learned tokenizers are more accurate than APP-Transformer, and a persistence baseline has lower one-step MAE on all three ShipBench hulls. The supported benefit of APP is therefore computational rather than universal predictive superiority: on a representative DTC input, APP-Transformer requires 1.815 GFLOPs and 1.309 ms per model forward, while a matched ablation shows that adaptive partitioning reduces MAE by 16.4-24.9\% relative to a uniform partition augmented with learned slicing. Condition encoders provide setting-dependent gains in leave-one-hull-out evaluation, but the current absolute next-state objective does not establish accurate long-horizon dynamics. These results characterize APP as a compact spatial representation with an explicit accuracy--efficiency trade-off. Code is available at https://github.com/wenhuahuo/APPSolver .

流场预测四叉树船舶水动力高效建模

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