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The Doyle-Fuller-Newman (DFN) model is a common mechanistic model for lithium-ion batteries. The reaction rate constant and diffusivity within the DFN model are key parameters that directly affect the movement of lithium ions, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Marc D. Berliner , Minsu Kim , Xiao Cui , Vivek N. Lam , Patrick A. Asinger , Martin Z. Bazant , William C. Chueh , Richard D. Braatz

This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries as they are charged and discharged. It reviews the models developed by Newman and co-workers, both in the cases of…

Chemical Physics · Physics 2020-02-04 Giles W Richardson , Jamie M Foster , Rahifa Ranom , Colin P Please , Angel M Ramos

Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive,…

Chemical Physics · Physics 2020-04-14 Matthew J. Hunt , Ferran Brosa Planella , Florian Theil , W. Dhammika Widanage

The Doyle-Fuller-Newman model is arguably the most ubiquitous electrochemical model in lithium-ion battery research. Since it is a highly nonlinear model, its input-output relations are still poorly understood. Researchers therefore often…

The observed temperature dependence of electrical conduction in polymer electrolytes is usually fitted with two separated equations: an Arrhenius equation at low temperatures and Vogel-Tamman-Fulcher (VTF) at high temperatures. We report…

Materials Science · Physics 2007-05-23 Mikrajuddin , I. Wuled Lenggoro , Kikuo Okuyama

For many practical applications, fully coupled three-dimensional models describing the behaviour of lithium-ion pouch cells are too computationally expensive. However, owing to the small aspect ratio of typical pouch cell designs, such…

Computational Physics · Physics 2020-08-11 Scott G. Marquis , Robert Timms , Valentin Sulzer , Colin P. Please , S. Jon Chapman

We treat the accurate simulation of the calcination reaction in particles, where the particles are large and, thus, the inner-particle processes must be resolved. Because these processes need to be described with coupled partial…

Fluid Dynamics · Physics 2023-11-28 Lucas Reineking , Torben Bergold , Enric Illana , Viktor Scherer , Martin Mönnigmann

Fast-charging of lithium-ion batteries is essential for electric vehicle adoption, but aggressive charging can accelerate its degradation and create safety risks. This study investigates a control framework that coordinates charging current…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Frederic Fabry , Alessio Lodge , Robinson Medina , Feye Hoekstra , Steven Wilkins , Madalin Frunzete

We present a finite element semi-discrete error analysis for the Doyle-Fuller-Newman model, which is the most popular model for lithium-ion batteries. Central to our approach is a novel projection operator designed for the…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao

Our study introduces a Generative AI method that employs a cooling-guided diffusion model to optimize the layout of battery cells, a crucial step for enhancing the cooling performance and efficiency of battery thermal management systems.…

Machine Learning · Computer Science 2024-03-19 Nicholas Sung , Liu Zheng , Pingfeng Wang , Faez Ahmed

Despite the ever-increasing use across different sectors, the lithium-ion batteries (LiBs) have continually seen serious concerns over their thermal vulnerability. The LiB operation is associated with the heat generation and buildup effect,…

Applied Physics · Physics 2017-09-27 Ning Tian , Huazhen Fang , Yebin Wang

Reduced-order models of flame dynamics can be used to predict and mitigate the emergence of thermoacoustic oscillations in the design of gas turbine and rocket engines. This process is hindered by the fact that these models, although often…

Fluid Dynamics · Physics 2020-07-07 Hans Yu , Matthew P. Juniper , Luca Magri

Modelling the temperature of Electric Vehicle (EV) batteries is a fundamental task of EV manufacturing. Extreme temperatures in the battery packs can affect their longevity and power output. Although theoretical models exist for describing…

Machine Learning · Computer Science 2022-12-19 Jeyhun Rustamov , Luisa Fennert , Nico Hoffmann

We investigate the convergence of a backward Euler finite element discretization applied to a multi-domain and multi-scale elliptic-parabolic system, derived from the Doyle-Fuller-Newman model for lithium-ion cells. We establish…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

Porous electrode theory (PET) provides essential insights into electrochemical states, but its computational complexity hinders real-time control and obscures scaling relations. To bridge the gap between high-fidelity simulations and…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shakul Pathak , Martin Z. Bazant

The industrial application motivating this work is the fatigue computation of aircraft engines' high-pressure turbine blades. The material model involves nonlinear elastoviscoplastic behavior laws, for which the parameters depend on the…

Numerical Analysis · Mathematics 2019-08-12 Fabien Casenave , Nissrine Akkari

Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear partial…

Analysis of PDEs · Mathematics 2017-09-13 Sepideh Afshar , Kirsten Morris , Amir Khajepour

Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

Nuclear Theory · Physics 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

Prediction of particle radiative heat transfer flux is an important task in the large discrete granular systems, such as pebble bed in power plants and industrial fluidized beds. For particle motion and packing, discrete element method…

Soft Condensed Matter · Physics 2020-06-24 Hao Wu , Shuang Hao