Study on an hp‐Adaptive Finite Element Solver for a Chemo‐Mechanical Battery Particle Model
نویسندگان
چکیده
We consider a Cahn–Hilliard-type phase-field model for phase separation and large deformations in battery electrode particles. For the numerical solution we employ an hp-adaptive finite element algorithm coupled to variable-step, variable-order time stepping scheme. Numerical experiments show adaptive meshing distribution of locally varying polynomial degrees method. In particular, sufficient range achieve significant computational savings compared h-adaptive algorithm.
منابع مشابه
Finite element model updating of a geared rotor system using particle swarm optimization for condition monitoring
In this paper, condition monitoring of a geared rotor system using finite element (FE) model updating and particle swarm optimization (PSO) method is onsidered. For this purpose, employing experimental data from the geared rotor system, an updated FE model is obtained. The geared rotor system under study consists of two shafts, four bearings, and two gears. To get the experimental data, iezoel...
متن کاملA Parallel AMG Solver for An Electromagnetic Finite Element Analysis
The algebraic multigrid (AMG) method is not only efficient in solving for linear systems arising in finite element analyses, but also applicable at a matrix level without geometric information on the domain, different from the geometric multigrid solvers. The present paper proposes a combination of the parallel processing technique and the AMG method as a fast solver for electromagnetic field a...
متن کاملA finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh
A new finite element Poisson solver is developed and applied to a global gyrokinetic toroidal code (GTC) which employs the field aligned mesh and thus a logically non-rectangular grid in a general geometry. Employing test cases where the analytical solutions are known, the finite element solver has been verified. The CPU time scaling versus the matrix size employing portable, extensible toolkit...
متن کاملAn AMR Capable Finite Element DiÆusion Solver for ALE Hydrocodes
Abstract We present a novel method for the solution of the diÆusion equation on a composite AMR mesh. This approach is suitable for including diÆusion based physics modules to hydrocodes that support ALE and AMR capabilities. To illustrate, we proÆer our implementations of diÆusion based radiation transport and heat conduction in a hydrocode called ALE-AMR. Numerical experiments conducted with ...
متن کاملA Hybrid MPI/PGAS Finite Element Solver
We present our work on developing a hybrid parallel programming model for a general finite element solver. The main focus of our work is to demonstrate that legacy codes with high latency, two-sided communication in the form of message passing can be improved using lightweight one-sided communication. We introduce a new hybrid MPI/PGAS implementation of the open source finite element framework ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings in applied mathematics & mechanics
سال: 2023
ISSN: ['1617-7061']
DOI: https://doi.org/10.1002/pamm.202200191