Data-Free PINNs for Compressible Flows: Mitigating Spectral Bias and Gradient Pathologies via Mach-Guided Scaling and Hybrid Convolutions
This paper introduces a fully data-free Physics-Informed Neural Network framework that solves compressible inviscid flows up to Mach 15 around a cylinder by integrating a hybrid convolutional architecture, Mach-guided dynamic residual scaling, and specialized loss constraints to overcome spectral bias, gradient pathologies, and shock-capturing instabilities.