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Chemical kinetic mechanisms can be represented by sets of elementary reactions that are easily translated into mathematical terms using physicochemical relationships. The schematic representation of reactions captures the interactions…

Optimization and Control · Mathematics 2019-02-12 Farshad Harirchi , Doohyun Kim , Omar A. Khalil , Sijia Liu , Paolo Elvati , Angela Violi , Alfred O. Hero

In this paper, we propose an optimization-based sparse learning approach to identify the set of most influential reactions in a chemical reaction network. This reduced set of reactions is then employed to construct a reduced chemical…

Optimization and Control · Mathematics 2017-12-14 Farshad Harirchi , Omar A. Khalil , Sijia Liu , Paolo Elvati , Angela Violi , Alfred O. Hero

A wide variety of real life complex networks are prohibitively large for modeling, analysis and control. Understanding the structure and dynamics of such networks entails creating a smaller representative network that preserves its relevant…

Accurate low dimension chemical kinetic models for methane are an essential component in the design of efficient gas turbine combustors. Kinetic models coupled to computational fluid dynamics (CFD) provide quick and efficient ways to test…

Chemical Physics · Physics 2022-06-10 Mark Kelly , Gilles Bourque , Stephen Dooley

The development of computational models for the numerical simulation of chemically reacting flows operating in the turbulent regime requires the solution of partial differential equations that represent the balance of mass, linear momentum,…

Fluid Dynamics · Physics 2021-06-03 Americo Cunha , Luis Fernando Figueira da Silva

New multipurpose skeletal and reduced chemical-kinetic mechanisms for ethanol combustion are developed, along the same philosophical lines followed in our previous work on methanol. The resulting skeletal mechanism contains 66 reactions,…

Solving chemistry is an integral part of reacting flow simulations, usually dominating the computational cost. Among the different strategies to accelerate the solution of chemistry and to achieve realizable simulations, the use of Dynamic…

Fluid Dynamics · Physics 2023-03-20 Anurag Surapaneni , Daniel Mira Martinez

A deep learning-based model reduction (DeePMR) method for simplifying chemical kinetics is proposed and validated using high-temperature auto-ignitions, perfectly stirred reactors (PSR), and one-dimensional freely propagating flames of…

Machine Learning · Computer Science 2022-09-09 Zhiwei Wang , Yaoyu Zhang , Enhan Zhao , Yiguang Ju , Weinan E , Zhi-Qin John Xu , Tianhan Zhang

A detailed mechanism for the four-component RD387 gasoline surrogate developed by Lawrence Livermore National Laboratory has shown good agreement with experiments in engine-relevant conditions. However, with 1388 species and 5933 reversible…

Chemical Physics · Physics 2015-04-15 Kyle E. Niemeyer , Chih-Jen Sung

We propose a direct optimization framework for learning reduced and sparse chemical reaction networks (CRNs) from time-series trajectory data. In contrast to widely used indirect methods-such as those based on sparse identification of…

Molecular Networks · Quantitative Biology 2025-08-27 Maurice Filo , Mustafa Khammash

Chemical kinetics mechanisms are essential for understanding, analyzing, and simulating complex combustion phenomena. In this study, a Neural Ordinary Differential Equation (Neural ODE) framework is employed to optimize kinetics parameters…

Chemical Physics · Physics 2022-09-07 Xingyu Su , Weiqi Ji , Jian An , Zhuyin Ren , Sili Deng , Chung K. Law

We consider stochastic descriptions of chemical reaction networks in which there are both fast and slow reactions, and for which the time scales are widely separated. We develop a computational algorithm that produces the generator of the…

Dynamical Systems · Mathematics 2015-12-11 Xingye Kan , Chang Hyeong Lee , Hans G. Othmer

High-throughput data acquisition in synthetic biology leads to an abundance of data that need to be processed and aggregated into useful biological models. Building dynamical models based on this wealth of data is of paramount importance to…

Systems and Control · Computer Science 2018-09-25 Zoltan A. Tuza , Guy-Bart Stan

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

Low-temperature plasmas are partially ionized gases, where ions and neutrals coexist in a highly reactive environment. This creates a rich chemistry, which is often difficult to understand in its full complexity. In this work, we develop a…

Plasma Physics · Physics 2024-09-13 Diogo R. Ferreira , Alexandre Lança , Luís Lemos Alves

Motivation: Stochastic reaction networks are a widespread model to describe biological systems where the presence of noise is relevant, such as in cell regulatory processes. Unfortu-nately, in all but simplest models the resulting discrete…

Quantitative Methods · Quantitative Biology 2021-01-12 Luca Cardelli , Isabel Cristina Perez-Verona , Mirco Tribastone , Max Tschaikowski , Andrea Vandin , Tabea Waizmann

We propose novel iterative learning control algorithms to track a reference trajectory in resource-constrained control systems. In many applications, there are constraints on the number of control actions, delivered to the actuator from the…

Optimization and Control · Mathematics 2017-09-29 Burak Demirel , Euhanna Ghadimi , Daniel E. Quevedo

Efficient analysis and simulation of multiscale stochastic systems of chemical kinetics is an ongoing area for research, and is the source of many theoretical and computational challenges. In this paper, we present a significant improvement…

Numerical Analysis · Mathematics 2016-09-21 Simon Cotter

Learning governing equations allows for deeper understanding of the structure and dynamics of data. We present a random sampling method for learning structured dynamical systems from under-sampled and possibly noisy state-space…

Information Theory · Computer Science 2018-05-14 Hayden Schaeffer , Giang Tran , Rachel Ward , Linan Zhang

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
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