8 papers · 1 filter
Multiple scales homogenisation of a porous viscoelastic material with rigid inclusions: application to lithium-ion battery electrodes
J. M. Foster, A. F. Galvis, B. Protas +1
This paper explores the mechanical behaviour of the composite materials used in modern lithium-ion battery electrodes. These contain relatively high modulus active particle inclusi…
On the inviscid instability of the 2D Taylor-Green vortex
Xinyu Zhao, Bartosz Protas, Roman Shvydkoy
We consider Euler flows on two-dimensional (2D) periodic domain and are interested in the stability, both linear and nonlinear, of a simple equilibrium given by the 2D Taylor-Green…
Data-Driven Approach to Learning Optimal Forms of Constitutive Relations in Models Describing Lithium Plating in Battery Cells
Avesta Ahmadi, Kevin J. Sanders, Gillian R. Goward +1
In this study we construct a data-driven model describing Lithium plating in a battery cell, which is a key process contributing to degradation of such cells. Starting from the fun…
Adjoint-Based Enforcement of State Constraints in PDE Optimization Problems
Pritpal Matharu, Bartosz Protas
This study demonstrates how the adjoint-based framework traditionally used to compute gradients in PDE optimization problems can be extended to handle general constraints on the st…
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…
Learning Optimal Forms of Constitutive Relations Characterizing Ion Intercalation from Data in Mathematical Models of Lithium-ion Batteries
Lindsey Daniels, Smita Sahu, Kevin J. Sanders +3
Most mathematical models of the transport of charged species in battery electrodes require a constitutive relation describing intercalation of Lithium, which is a reversible proces…