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In this paper we study a system of partial differential equations which models lithium-ion batteries. The system describes the conservation of Lithium and conservation of charges in the solid and electrolyte phases, together with the…

Analysis of PDEs · Mathematics 2022-02-08 Xiangsheng Xu

This work focuses on the development of a self adjusting multirate strategy based on an implicit time discretization for the numerical solution of hyperbolic equations, that could benefit from different time steps in different areas of the…

Numerical Analysis · Mathematics 2018-02-14 Ludovica Delpopolo Carciopolo , Luca Bonaventura , Anna Scotti , Luca Formaggia

Ion partitioning between different compartments (\emph{e.g.} a porous material and a bulk solution reservoir), known as Donnan equilibrium, plays a fundamental role in various contexts such as energy, environment, or water treatment. The…

Chemical Physics · Physics 2026-02-10 Jeongmin Kim , Benjamin Rotenberg

Given the high power density low discharge rate and decreasing cost rechargeable lithium-ion batteries LiBs have found a wide range of applications such as power grid level storage systems electric vehicles and mobile devices. Developing a…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Anh Phuong Ngo , Nhat Le , Hieu T. Nguyen , Abdullah Eroglu , Duong T. Nguyen

The demand for lithium ion batteries (LIBs) on the market has gradually risen, with production increasing every year. To meet industrial needs, the development of digital twins designed to optimize LIB manufacturing processes is essential.…

Health evaluation for lithium-ion batteries (LIBs) typically relies on constant charging/discharging protocols, often neglecting scenarios involving dynamic current profiles prevalent in electric vehicles. Conventional health indicators for…

Machine Learning · Computer Science 2025-03-12 J. C. Chen

Battery thermal management systems (BTMSs) are critical for efficient and safe operation of lithium-ion batteries (LIBs), especially for fast charging/discharging applications that generate significant heating within the cell. Forced…

Fluid Dynamics · Physics 2025-02-04 Piyush Mani Tripathi , Amy M. Marconnet

The physics-based Doyle-Fuller-Newman (DFN) model, widely adopted for its precise electrochemical modeling, stands out among various simulation models of lithium-ion batteries (LIBs). Although the DFN model is powerful in forward predictive…

Computational Engineering, Finance, and Science · Computer Science 2025-04-30 Weipeng Xu , Kaiqi Yang , Yuzhi Zhang , Shichao Sun , Sheng Mao , Tianju Xue

Solving the reactive low-Mach Navier-Stokes equations with high-order adaptive methods in time is still a challenging problem, in particular due to the handling of the algebraic variables involved in the mass constraint. We focus on the…

Analysis of PDEs · Mathematics 2025-10-02 Laurent François , Joël Dupays , Dmitry Davidenko , Marc Massot

Accurate parameter dependent electro-chemical numerical models for lithium-ion batteries are essential in industrial application. The exact parameters of each battery cell are unknown and a process of estimation is necessary to infer them.…

Statistics Theory · Mathematics 2024-04-25 Andrea Petrocchi , Matthias K. Scharrer , Franz Pichler , Stefan Volkwein

Accurate estimation of the internal states of lithium-ion batteries is key towards improving their management for safety, efficiency and longevity purposes. Various approaches exist in the literature in this context, among which designing…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Mira Khalil , Romain Postoyan , Stéphane Raël

Deep learning (DL) has indeed emerged as a powerful tool for rapidly and accurately predicting materials properties from big data, such as the design of current commercial Li-ion batteries. However, its practical utility for multivalent…

Materials Science · Physics 2022-01-13 Xiuying Zhang , Jun Zhou , Jing Lu , Lei Shen

The reliability, lower computational complexity, and ease of implementation of control observers make them one of the most promising methods for the state estimation of Li-ion batteries (LIBs) in commercial applications. To pave their way,…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Muhammad Saeed , Arash Khalatbarisoltani , Zhongwei Deng , Wenxue Liu , Faisal Altaf , Shuai Lu , Xiaosong Hu

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

The quasi-neutral hybrid model with kinetic ions and fluid electrons is a promising approach for bridging the inherent multi-scale nature of many problems in space and laboratory plasmas. Here, a novel, implicit, particle-in-cell based…

Plasma Physics · Physics 2018-11-14 A. Stanier , L. Chacón , G. Chen

This paper proposes a new convex model predictive control strategy for dynamic optimal power flow between battery energy storage systems distributed in an AC microgrid. The proposed control strategy uses a new problem formulation, based on…

Systems and Control · Computer Science 2017-05-16 Thomas Morstyn , Branislav Hredzak , Ricardo P. Aguilera , Vassilios G. Agelidis

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong

Molecular dynamics simulations are a powerful tool to study diffusion processes in battery electrolyte and electrode materials. From a single molecular dynamics simulation many properties relevant to diffusion can be obtained, including the…

Chemical Physics · Physics 2018-07-09 Niek J. J. de Klerk , Eveline van der Maas , Marnix Wagemaker

This work presents a method for constructing online-efficient reduced models of large-scale systems governed by parametrized nonlinear scalar conservation laws. The solution manifolds induced by transport-dominated problems such as…

Numerical Analysis · Mathematics 2021-01-01 Donsub Rim , Benjamin Peherstorfer , Kyle T. Mandli

Renewable energy researchers use computer simulation to aid the design of lithium ion storage devices. The underlying models contain several physical input parameters that affect model predictions. Effective design and analysis must…

Computational Physics · Physics 2017-03-03 Paul G. Constantine , Alireza Doostan