Scientific machine learning for closure models in multiscale problems: A review

B Sanderse, P Stinis, R Maulik, SE Ahmed - arXiv preprint arXiv …, 2024 - arxiv.org
Closure problems are omnipresent when simulating multiscale systems, where some
quantities and processes cannot be fully prescribed despite their effects on the simulation's …

A causality-based learning approach for discovering the underlying dynamics of complex systems from partial observations with stochastic parameterization

N Chen, Y Zhang - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Discovering the underlying dynamics of complex systems from data is an important practical
topic. Constrained optimization algorithms are widely utilized and lead to many successes …

Data-driven stochastic closure modeling via conditional diffusion model and neural operator

X Dong, C Chen, JL Wu - arXiv preprint arXiv:2408.02965, 2024 - arxiv.org
Closure models are widely used in simulating complex multiscale dynamical systems such
as turbulence and the earth system, for which direct numerical simulation that resolves all …

A physics-informed data-driven algorithm for ensemble forecast of complex turbulent systems

N Chen, D Qi - Applied Mathematics and Computation, 2024 - Elsevier
A new ensemble forecast algorithm, named the physics-informed data-driven algorithm with
conditional Gaussian statistics (PIDD-CG), is developed to predict the probability density …

A Stochastic Precipitating Quasi-Geostrophic Model

N Chen, C Mou, LM Smith, Y Zhang - arXiv preprint arXiv:2407.20886, 2024 - arxiv.org
Efficient and effective modeling of complex systems, incorporating cloud physics and
precipitation, is essential for accurate climate modeling and forecasting. However …

Developing an advanced neural network and physics solver coupled framework for accelerating flow field simulations

X Chen, T Li, Y Wan, Y Liang, C Gong, Y Pang… - Engineering with …, 2024 - Springer
Computational fluid dynamics simulation accounts for a large number of workloads in the
numerical design optimization of aerodynamics problems. In this paper, we develop AFFNet …