25 papers · ranked by Valyu relevance
Elena Ferretti
This paper presents a new numerical method for multiscale modeling of composite materials. The new numerical model, called DECM, consists of a DEM (Discrete Element Method) approach of the Cell Method (CM) and combines the main features of both the DEM and the CM. In particular, it offers the same degree of detail as…
Jerzy Rojek, Nikhil Madan, Szymon Nosewicz
The present work is aimed to investigate the capability of the discrete element method (DEM) to model properly wave propagation in solid materials, with special focus on the determination of elastic properties through wave velocities. Reference micro-macro relationships for elastic constitutive parameters have been…
Chen Xiong Fei, Sun Ze Yu, Shi Yi Ze, Liu Mu Hua + 2 more
The hygroscopic fertilizer particles were characterized based on discrete element simulation, and its accuracy was verified by the simulation of fertilizer discharge. Firstly, the repose angle of the fertilizer particles served as the key metric for assessment. A mathematical model characterizing the relationship…
Yulong Pan, Per‐Olof Persson
We introduce the concept of half-closed nodes for nodal Discontinuous Galerkin (DG) discretisations. This is in contrast to more commonly used closed nodes in DG where in each element nodes are placed on every boundary. Half-closed nodes relax this constraint by only requiring nodes on a subset of the boundaries in…
A. Bolis, C.D. Cantwell, D. Moxey, D. Serson + 1 more
A hybrid parallelisation technique for distributed memory systems is investigated for a coupled Fourier-spectral/hp element discretisation of domains characterised by geometric homogeneity in one or more directions. The performance of the approach is mathematically modelled in terms of operation count and communication…
C. Zhu, C. T. Lee, P. Rangamani
Biomembranes adopt varying morphologies that are vital to cellular functions. Many studies use computational modeling to understand how various mechanochemical factors contribute to membrane shape transformations. Compared to approximation-based methods (e.g., finite element method), the class of discrete mesh models…
Fergus R. Cooper, Ruth E. Baker, Alexander G. Fletcher
Mathematical modelling provides a useful framework within which to investigate the organization of biological tissues. With advances in experimental biology leading to increasingly detailed descriptions of cellular behaviour, models that consider cells as individual objects are becoming a common tool to study how…
Samuel Olivier, Terry S. Haut
We apply high-order mixed finite element discretization techniques and their associated preconditioned iterative solvers to the Variable Eddington Factor (VEF) equations in two spatial dimensions. The mixed finite element VEF discretizations are coupled to a high-order Discontinuous Galerkin (DG) discretization of the…
R.K. Mohanty, Nikita Setia, Gunjan Khurana, Geetan Manchanda
This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational. It is further extended for application to a system of quasilinear elliptic PDEs with Dirichlet boundary conditions…
M. Deepa Maheshvare, Soumyendu Raha, Debnath Pal
Trillions of chemical reactions occur in the human body every second, where the generated products are not only consumed locally but also transported to various locations in a systematic manner to sustain homeostasis. Current solutions to model these biological phenomena are restricted in computability and scalability…
Jan Jaśkowiec, N. Sukumar
In this paper, we present a new high-order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty-free DG (PF-DG). In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in…
Authors not listed
Given the recent inclusion of sodium-ion batteries (SIBs) in the energy market, the optimization of their performance becomes a relevant research topic. At the electrode-level, the parameters selected during its manufacturing process influence its microstructure and, consequently, its electrochemical performance. Here…
Martin Vymazal, David Moxey, Chris D. Cantwell, Spencer J. Sherwin + 1 more
'Robert M. Kirby'] We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors by more general subsets of the computational domain - groups of elements that support a piecewise-polynomial continuous…
Yue Mei, Jiahao Liu, Xu Guo, Brandon Zimmerman + 2 more
This paper presents a method to derive the virtual fields for identifying constitutive model parameters using the Virtual Fields Method (VFM). The VFM is an approach to identify unknown constitutive parameters using deformation fields measured across a given volume of interest. The general principle for solving…
Paola F. Antonietti, Blanca Ayuso de Dios, Ilario Mazzieri, Alfio Quarteroni
'Alfio Quarteroni'] We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both displacement and displacement-stress formulations. We present the stability analysis of all the methods in the natural energy norm and derive optimal a-priori error estimates. For the…
Muhammad Shakhawat Hossain, Chunguang Xiong, Huafei Sun, Nikos Kavallaris
'Nikos Kavallaris'] In this research article, a discontinuous Galerkin method with a weighted parameter θ and a penalty parameter γ is proposed for solving the first order hyperbolic equation. The key aim of this method is to design an error estimation for both a priori and a posteriori error analysis on general finite…
Jinwei Qiao, Yuanyang Qiao, Yinnian He, Miguel Rubi
It is well known that the Cahn-Hilliard equation satisfies the energy dissipation law and the mass conservation property. Recently, the radial basis function-finite difference (RBF-FD) approach and its numerous variants have garnered significant attention for the numerical solution of surface-related problems, owing to…
Authors not listed
Optimization of the manufacturing process of Lithium-Ion Batteries (LIB) is crucial for advancing energy storage systems, and finding efficient approaches for its acceleration is a key area of research. Such approaches should be able to replace time-consuming and material scrap-expensive trials-and-error optimization…
Derek A. Drumm, Gregory M. Noetscher, Hannes Oppermann, Jens Haueisen + 2 more
Accurate transcranial electrical stimulation (TES), electroconvulsive therapy (ECT), and electroencephalography (EEG) forward modeling requires resolving numerical singularities in the charge density near electrodes and tissue interfaces. We present an adaptive mesh refinement (AMR) strategy for the charge based…
Jay Gopalakrishnan, Ignacio Muga, Nicole Olivares
We consider the discontinuous Petrov-Galerkin (DPG) method, where the test space is normed by a modified graph norm. The modification scales one of the terms in the graph norm by an arbitrary positive scaling parameter. Studying the application of the method to the Helmholtz equation, we find that better results are…
Nasireh Dayarian, Ali Khadem
This article presents a hybrid boundary element-finite element (BE-FE) method to solve the EEG forward problem and take advantages of both the boundary element method (BEM) and finite element method (FEM). Although realistic EEG forward problems with heterogeneous and anisotropic regions can be solved by FEM…
D. W. Crews
The discontinuous Galerkin (DG) finite element method is conservative, lends itself well to parallelization, and is high-order accurate due to its close affinity with the theory of quadrature and orthogonal polynomials. When applied with an orthogonal discretization (i.e. a rectilinear grid) the DG method may be…
Corrado Groth, Andrea Chiappa, Stefano Porziani, Pietro Salvini + 2 more
'Marco Evangelos Biancolini' 'Rui Li'] Thin plates are very often employed in a context of large displacements and rotations, for example, whenever the extreme flexibility of a body can replace the use of complicated kinematic pairs. This is the case of the flexible Printed Circuit Boards (PCBs) used, for example…
Authors not listed
Porous electrodes are ubiquitous to electrochemical technologies for energy conversion and storage, where they play a set of critical roles in the performance and cost of the systems. While progress on electrode design has been mostly driven by experimentation which is time- and resource-intensive, predictive design…
Baptiste Py, Adeleke Maradesa, Francesco Ciucci
The distribution of relaxation times (DRT) method is a non-parametric approach for analyzing electrochemical impedance spectroscopy (EIS) data. However, we must be careful when using the DRT method on electrochemical systems with blocking electrodes, such as those encountered in batteries and supercapacitors. This is…