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<title>Abstract</title> <p>The ability to resolve complex physical phenomena with high fidelity and at low computational cost is central to addressing key challenges in modern engineering. A prime example lies in hypersonic flows, where the precise prediction of the flowfield topology, in particular with respect to shock wave location and intensity, is critical. Yet hypersonic flows continue to be a stumbling block for traditional reduced-order models and neural emulators that struggle to capture steep gradients in flow states with physical consistency in applications of industrial relevance. To that end, we introduce a fully GPU based workflow that integrates accelerated data generation with the training of neural emulators augmented by uncertainty quantification and physics-aware refinement. Our workflow is enabled by a differentiable high-fidelity solver (JAX-Fluids) which we employ for rapid data generation and residual-based improvement of the neural emulator to enhance physical consistency. Residual-based refinement sidesteps the need for costly data generation enabling training on cases where only mesh and input parameters are available while substantially reducing residuals and improving physical consistency. Together, differentiable simulation and residual-based refinement yield physics emulators that remain reliable beyond their training distribution, a key requirement for deploying surrogates in real-world engineering design loops.</p>

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Keywords

physical neural emulators consistency data

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