Supersonic combustion flow prediction using scramjet wall pressure data shows promise, but fully supervised models are hindered by scarce paired flame-pressure measurements. To leverage abundant unlabeled flame images, we propose the Generative Cross-Scale Refinement Transformer (GCSRT). GCSRT integrates masked image modeling (MIM) for self-supervised pretraining on unpaired flame images, enabling efficient fine-tuning to predict future flame states solely from current wall pressure. The architecture combines a pressure encoding network (PEN) with a masked pyramid decoder (MPD). The MPD first learns visual representations via MIM pretraining without pressure labels. It then cascades with the PEN for end-to-end fine-tuning on limited pressure–flame pairs. Evaluated against Vision Transformer (ViT), EfficientMod, and a fully supervised variant (GCSRT-SL) using short- and long-term metrics, GCSRT achieves superior performance on independent tests. Results confirm that MIM pretraining effectively embeds implicit physical priors. This work demonstrates self-supervised learning’s value for physical flowfield modeling under data scarcity; GCSRT’s ability to bridge pressure sensors and flame diagnostics; and new pathways for reconstructing incomplete flowfields and advancing intelligent flow perception. Our approach establishes a paradigm for exploiting unlabeled data in high-speed combustion diagnostics.
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An et al. (2026) studied this question.
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