High Energy Density Radiative Transfer in the Diffusion Regime with Fourier Neural Operators

التفاصيل البيبلوغرافية
العنوان: High Energy Density Radiative Transfer in the Diffusion Regime with Fourier Neural Operators
المؤلفون: Farmer, Joseph, Smith, Ethan, Bennett, William, McClarren, Ryan
سنة النشر: 2024
المجموعة: Computer Science
Physics (Other)
مصطلحات موضوعية: Physics - Computational Physics, Computer Science - Machine Learning
الوصف: Radiative heat transfer is a fundamental process in high energy density physics and inertial fusion. Accurately predicting the behavior of Marshak waves across a wide range of material properties and drive conditions is crucial for design and analysis of these systems. Conventional numerical solvers and analytical approximations often face challenges in terms of accuracy and computational efficiency. In this work, we propose a novel approach to model Marshak waves using Fourier Neural Operators (FNO). We develop two FNO-based models: (1) a base model that learns the mapping between the drive condition and material properties to a solution approximation based on the widely used analytic model by Hammer & Rosen (2003), and (2) a model that corrects the inaccuracies of the analytic approximation by learning the mapping to a more accurate numerical solution. Our results demonstrate the strong generalization capabilities of the FNOs and show significant improvements in prediction accuracy compared to the base analytic model.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.04003
رقم الأكسشن: edsarx.2405.04003
قاعدة البيانات: arXiv