This work finds that cross-domain pretraining improves zero- and few-shot performance on held-out datasets relative to both training from scratch and transferring from domain-specific experts, and finds that simply pooling steady-state datasets is both sufficient and effective.
Abstract
Neural surrogates for computational fluid dynamics (CFD) have the potential to greatly enhance engineering innovation through accelerating simulation. However, the primary limitation for neural surrogates is the lack of generalization to geometries and applications beyond the training set, which is significant given the diversity of engineering scenarios. Currently, this is addressed by generating a new dataset for a specific application; however, this requires running costly numerical solvers. In this work, we take a step toward addressing this by studying neural surrogates trained across different geometries, boundary conditions, and fidelities. We find that cross-domain pretraining improves zero- and few-shot performance on held-out datasets relative to both training from scratch and transferring from domain-specific experts. In particular, finetuning a pretrained, cross-domain model can achieve 2-3x lower errors at the same sample size and use 8x fewer samples to achieve the same error, compared to training from scratch. This benefit is architecture agnostic and improves with model size and pretraining dataset diversity. Furthermore, we study how and why cross-domain pretraining works in CFD surrogates, and find that simply pooling steady-state datasets is both sufficient and effective. Given the high cost of generating CFD data, leveraging existing datasets through cross-domain pretraining will likely be a valuable strategy as future surrogates expand to tackle new problems and use cases.
LatentDDM is identified as a promising design principle for physical foundation models that improves 20-step field rollouts in fast-pitching airfoil flow, both zero-shot and after few-shot calibration.
Pretraining a neural PDE surrogate can reduce the amount of new CFD data needed when geometry or modeled physics changes. However, it remains unclear how different components of distribution shift affect this benefit. We pretrain a surrogate on 254,909 RANS solutions from one airfoil family and fine-tune it on a new fa...
P. Bhargav, Nithin Somasekharan, R. Kanchi et al.· 0 citations
Neural surrogate models for Partial Differential Equations (PDEs) on unstructured 3D geometries are often limited by poor generalization and the high cost of generating large-scale training datasets. Consequently, pre-training on massive datasets of related PDE dynamics has emerged as a critical alternative to enhance...
Luis Medrano-Navarro, G. Baldan, Qiang Liu et al.· 0 citations
Partial differential equations (PDEs) are a foundational tool for modeling physical systems. However, high-fidelity numerical simulations are often computationally intensive, which has prompted the development of surrogate models in the field of scientific machine learning. While recent approaches have achieved high...
This work investigates how established uncertainty quantification approaches behave when adapted to geometry-conditioned neural surrogates and examines whether predicted uncertainties have credible magnitudes, identify locations with larger prediction errors, respond to unfamiliar inputs, and remain informative for der...
Kaustubh Tangsali, M. A. Nabian, Kelvin Lee et al.· 0 citations
Neural surrogates for Partial Differential Equations (PDEs) are usually trained on synthetic data from numerical simulators. As models grow and scaling laws demand larger datasets, the cost of data generation often outweighs the training cost and becomes the bottleneck in the scaling quest. Unlike data in other domains...
Paul Setinek, F. Paischer, Nils Thuerey et al.· 0 citations
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