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We propose a novel three-way coupling method to model the contact interaction between solid and fluid driven by strong surface tension. At the heart of our physical model is a thin liquid membrane that simultaneously couples to both the…

Fluid Dynamics · Physics 2021-05-19 Liangwang Ruan , Jinyuan Liu , Bo Zhu , Shinjiro Sueda , Bin Wang , Baoquan Chen

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

Polymer electrolytes (PEs) are promising candidates for use in next-generation high-voltage batteries, as they possess advantageous elastic and electrochemical properties. However, PEs still suffer from low ionic conductivity and need to be…

We consider basic and easily extendible transport formulations for lithium batteries consisting of an anode (Li-foil), a separator (polymer electrolyte), and a composite cathode (composed of electrolyte and intercalation particles). Our…

Applied Physics · Physics 2018-12-06 Jeta Molla , Markus Schmuck

In this work a 1D finite volume based model using coupled meshes is introduced to capture potential and species distribution throughout the discharge process in a lithium bismuth liquid metal battery while neglecting hydrodynamic effects,…

Chemical Physics · Physics 2023-05-30 Carolina Duczek , Norbert Weber , Omar E. Godinez-Brizuela , Tom Weier

Charge selective interlayers are crucial in thin-film photovoltaics, such as organic and Perovskite solar cells. Charge transporting layers (doped and undoped) constitute perhaps the most important class of charge selective interlayers;…

In recent years there has been a major interest in developing all solid state batteries, for the sake of safety (issues due to toxic and flammable organic liquid electrolytes are well known) as well as of high energy density…

Materials Science · Physics 2021-05-07 L. Cabras , V. Oancea , A. Salvadori

The rapid development of modern energy applications drives an urgent need to enhance the dielectric strength of energy storage dielectrics for higher power density. Interface design is a promising strategy to regulate the crucial charge…

Materials Science · Physics 2024-11-05 Haoxiang Zhao , Lixuan An , Daning Zhang , Xiong Yang , Huanmin Yao , Guanjun Zhang , Haibao Mu , Björn Baumeier

We formally derive an effective catalyst layer model comprising the reduction of oxygen for periodically distributed pore geometries. By assumption, the pores are completely filled with water and the surrounding walls consist of catalyst…

Mathematical Physics · Physics 2012-05-01 Markus Schmuck , Peter Berg

Cutting-edge smart materials are transforming the domains of soft robotics, actuators, and sensors by harnessing diverse non-mechanical stimuli, such as electric and magnetic fields. Accurately modelling their physical behaviour…

Classical Physics · Physics 2024-07-09 Abhishek Ghosh , Andrew McBride , Zhaowei Liu , Luca Heltai , Paul Steinmann , Prashant Saxena

Optimal cooling that minimises thermal gradients and the average temperature is essential for enhanced battery safety and health. This work presents a new modelling approach for battery cells of different shapes by integrating Chebyshev…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Godwin K. Peprah , Yicun Huang , Torsten Wik , Faisal Altaf , Changfu Zou

In this paper, a generalized macromodeling approach is presented to simulate complex electromagnetic (EM) surfaces consisting of unit cells with connected conductors. Macromodels of each unit cell are produced by applying the equivalence…

Numerical Analysis · Mathematics 2022-08-17 Reza Gholami , Parinaz Naseri , Piero Triverio , Sean V. Hum

Effect of static charges on charge carrier transport in disordered organic materials is considered. Long range nature of Coulomb interaction requires to take into consideration a finite thickness of the transport layer. Presence of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sergey Novikov

Modelling electrolytes accurately on both a nanoscale and cell level can contribute to improving battery chemistries.[Armand and Tarascon, Nature, 2008, 451, 652-657] We previously presented a thermodynamic continuum model for…

Chemical Physics · Physics 2024-08-09 Constantin Schwetlick , Max Schammer , Arnulf Latz , Birger Horstmann

A formulation is presented to efficiently model ionic conduction inside, i.e. across and along, grain boundaries. Efficiency and accuracy is achieved by reducing it to a two-dimensional manifold while guaranteeing the conservation of mass…

Chemical Physics · Physics 2024-01-15 Stephan Sinzig , Christoph P. Schmidt , Wolfgang A. Wall

A three-dimensional model of a single-layer lithium-ion pouch cell is presented which couples conventional porous electrode theory describing cell electrochemical behaviour with an energy balance describing cell thermal behaviour.…

Applied Physics · Physics 2020-05-12 Robert Timms , Scott G. Marquis , Valentin Sulzer , Colin Please , S. Jon Chapman

Density Functional Theory (DFT) calculations of electrode material properties in high energy density storage devices like lithium batteries have been standard practice for decades. In contrast, DFT modelling of explicit interfaces in…

Materials Science · Physics 2020-06-24 Kevin Leung

All solid state batteries are claimed to be the next-generation battery system, in view of their safety accompanied by high energy densities. A new advanced, multiscale compatible, and fully three dimensional model for solid electrolytes is…

Applied Physics · Physics 2022-03-15 L. Cabras , D. Danilov , W. Subber , V. Oancea , A. Salvadori

We investigate the modeling and simulation of ionic transport and charge conservation in lithium-ion batteries (LIBs) at the microscale. It is a multiphysics problem that involves a wide range of time scales. The associated computational…

Numerical Analysis · Mathematics 2025-10-02 Ali Asad , Romain de Loubens , Laurent François , Marc Massot

We develop and analyse a discrete, one-dimensional model of cell motility which incorporates the effects of volume filling, cell-to-cell adhesion and chemotaxis. The formal continuum limit of the model is a nonlinear generalisation of the…

Analysis of PDEs · Mathematics 2011-01-14 K. Anguige