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Chemical transport models (CTMs), which simulate air pollution transport, transformation, and removal, are computationally expensive, largely because of the computational intensity of the chemical mechanisms: systems of coupled differential…

Atmospheric and Oceanic Physics · Physics 2018-08-14 Makoto M. Kelp , Christopher W. Tessum , Julian D. Marshall

Solving for detailed chemical kinetics remains one of the major bottlenecks for computational fluid dynamics simulations of reacting flows using a finite-rate-chemistry approach. This has motivated the use of fully connected artificial…

Computational Engineering, Finance, and Science · Computer Science 2021-10-11 Opeoluwa Owoyele , Pinaki Pal

Galaxy formation and evolution critically depend on understanding the complex photo-chemical processes that govern the evolution and thermodynamics of the InterStellar Medium (ISM). Computationally, solving chemistry is among the most heavy…

Astrophysics of Galaxies · Physics 2024-02-21 Lorenzo Branca , Andrea Pallottini

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential equations systems is derived from an…

Molecular Networks · Quantitative Biology 2025-02-27 Anna C. M. Thöni , William E. Robinson , Yoram Bachrach , Wilhelm T. S. Huck , Tal Kachman

We present a neural-network emulator for the thermal and chemical evolution in Population III star formation. The emulator accurately reproduces the thermochemical evolution over a wide density range spanning 21 orders of magnitude…

Astrophysics of Galaxies · Physics 2026-05-18 Sojun Ono , Kazuyuki Sugimura

Estimating rate coefficients from complex chemical reactions is essential for advancing detailed chemistry. However, the stiffness inherent in real-world atmospheric chemistry systems poses severe challenges, leading to training instability…

Machine Learning · Computer Science 2025-09-01 Wenqing Peng , Zhi-Song Liu , Michael Boy

Owing to the remarkable development of deep learning technology, there have been a series of efforts to build deep learning-based climate models. Whereas most of them utilize recurrent neural networks and/or graph neural networks, we design…

Machine Learning · Computer Science 2021-11-12 Jeehyun Hwang , Jeongwhan Choi , Hwangyong Choi , Kookjin Lee , Dongeun Lee , Noseong Park

The application of deep neural networks (DNNs) holds considerable promise as a substitute for the direct integration of chemical source terms in combustion simulations. However, challenges persist in ensuring high precision and…

Fluid Dynamics · Physics 2023-12-29 Han Li , Ruixin Yang , Min Zhang , Runze Mao , Zhi X. Chen

A novel approach is presented for the solution of instantaneous chemical equilibrium problems. The chemical equilibrium can be considered, due to its intrinsically local character, as a mapping of the three-dimensional parameter space…

Astrophysics · Physics 2009-11-11 A. Asensio Ramos , H. Socas-Navarro

Neural Ordinary Differential Equations (ODE) are a promising approach to learn dynamic models from time-series data in science and engineering applications. This work aims at learning Neural ODE for stiff systems, which are usually raised…

Numerical Analysis · Mathematics 2021-10-04 Suyong Kim , Weiqi Ji , Sili Deng , Yingbo Ma , Christopher Rackauckas

Calibrating chemical kinetics in a reaction-diffusion system is challenging because of complex dynamics governed by tightly coupled chemistry and transport, while experimental observations are often sparse and noisy. We propose a physics…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Feixue Cai , Hua Zhou , Zhuyin Ren

Non-equilibrium chemistry is a key process in the study of the InterStellar Medium (ISM), in particular the formation of molecular clouds and thus stars. However, computationally it is among the most difficult tasks to include in…

Astrophysics of Galaxies · Physics 2022-12-07 Lorenzo Branca , Andrea Pallottini

Modeling complex systems using standard neural ordinary differential equations (NODEs) often faces some essential challenges, including high computational costs and susceptibility to local optima. To address these challenges, we propose a…

Machine Learning · Computer Science 2024-05-24 Xin Li , Jingdong Zhang , Qunxi Zhu , Chengli Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

Chemical modelling serves two purposes in dynamical models: accounting for the effect of microphysics on the dynamics and providing observable signatures. Ideally, the former must be done as part of the hydrodynamic simulation but this…

Computational Physics · Physics 2021-09-15 J. Holdship , S. Viti , T. J. Haworth , J. D. Ilee

Simulating abundances of stable water isotopologues, i.e. molecules differing in their isotopic composition, within climate models allows for comparisons with proxy data and, thus, for testing hypotheses about past climate and validating…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Jonathan Wider , Jakob Kruse , Nils Weitzel , Janica C. Bühler , Ullrich Köthe , Kira Rehfeld

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

Numerical Analysis · Mathematics 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

Chemical kinetics plays an important role in governing the thermal evolution in reactive flows problems. The possible interactions between chemical species increase drastically with the number of species considered in the system. Various…

Instrumentation and Methods for Astrophysics · Physics 2022-07-18 Kwok Sun Tang , Matthew Turk

Deep learning has an increasing impact to assist research, allowing, for example, the discovery of novel materials. Until now, however, these artificial intelligence techniques have fallen short of discovering the full differential equation…

Efficient chemical kinetic model inference and application in combustion are challenging due to large ODE systems and widely separated time scales. Machine learning techniques have been proposed to streamline these models, though strong…

Machine Learning · Computer Science 2025-08-27 Benjamin C. Koenig , Suyong Kim , Sili Deng

The study of structure-spectrum relationships is essential for spectral interpretation, impacting structural elucidation and material design. Predicting spectra from molecular structures is challenging due to their complex relationships.…

Computational Physics · Physics 2024-08-29 Fanjie Xu , Wentao Guo , Feng Wang , Lin Yao , Hongshuai Wang , Fujie Tang , Zhifeng Gao , Linfeng Zhang , Weinan E , Zhong-Qun Tian , Jun Cheng
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