17 papers · ranked by Valyu relevance
Jorge Belinha, Enrique Casarejos
This study presents a comprehensive multiscale analysis of sandwich beams with a polyurethane foam (PUF) core, delivering a numerical comparison between finite element methods (FEMs) and a meshless method: the radial point interpolation method (RPIM). This work aims to combine RPIM with homogenisation techniques for…
S. D. Daxini, J. M. Prajapati
Meshfree methods are viewed as next generation computational techniques. With evident limitations of conventional grid based methods, like FEM, in dealing with problems of fracture mechanics, large deformation, and simulation of manufacturing processes, meshfree methods have gained much attention by researchers. A…
Davoud Mirzaei, Robert Schaback
As an improvement of the Meshless Local Petrov–Galerkin (MLPG), the Direct Meshless Local Petrov–Galerkin (DMLPG) method is applied here to the numerical solution of transient heat conduction problem. The new technique is based on direct recoveries of test functionals (local weak forms) from values at nodes without any…
Dawid Strzelczyk, Miha Rot, Gregor Kosec, Maciej Matyka
In this paper, two mesh-free CFD solvers for pore-scale fluid flow through porous media are considered, namely the Lattice Boltzmann Method with the two relaxation time collision term and the direct Navier-Stokes solver under the artificial compressibility limit. The porous media is built with a regular arrangement of…
Zhenxing Cheng, Hu Wang
This study presents a meshless-based local reanalysis (MLR) method. The purpose of this study is to extend reanalysis methods to the Kriging interpolation meshless method due to its high efficiency. In this study, two reanalysis methods: combined approximations CA) and indirect factorization updating (IFU) methods are…
Ming-Hsiao Lee, Wen-Hwa Chen, Ying Mao, Alok Sutradhar + 1 more
'Jaejong Park'] Additive manufacturing (3D Printing) has become a promising manufacturing method as it can produce parts in a flexible and efficient way, especially for very irregular parts. However, during the printing process, the material experiences a great temperature change from the melting temperature to room…
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…
Ahmed Moussaoui, Touria Bouziane
Title: Highlights 1. • The LRPIM is derived from the local weak form of the equilibrium equations for solving a thin elastic plate. 2. • The method LRPIM is used the trial and test functions in the weak form. 3. • Convergence of the LRPIM depends on number of parameters derived from local weak form and sub-domains. 4.…
George C. Bourantas, Benjamin Zwick, Grand Roman Joldes, Adam Wittek + 1 more
'Karol Miller'] Abstract: In this paper, we present a meshless method belonging to the family of element-free Galerkin (EFG) methods. The distinguishing feature of the presented meshless method is that it allows accurate enforcement of essential boundary conditions. The method uses total Lagrangian formulation with…
Imtiaz Ahmad, Ihteram Ali, Rashid Jan, Sahar Ahmed Idris + 2 more
'Mohamed Mousa' 'Muhammad Nadeem'] The study presents a meshless computational approach for simulating the three-dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo sense. The methodology combines a stable Crank-Nicolson time-integration scheme with the definition of the Caputo…
D. Satyaprasad, Soumendra Nath Kuiry, S. Sundar
solving the shallow water equations Authors: ['D. Satyaprasad' 'Soumendra Nath Kuiry' 'S. Sundar'] - A shock-capturing meshless method is presented for solving the 2D shallow water equations on a highly variable topography. - The meshless coefficients are determined by applying the geometric conservation law and…
Shantanu Shahane, S. P. Vanka
Computations of incompressible flows with all velocity boundary conditions require solution of a Poisson equation for pressure or pressure-corrections with all Neumann boundary conditions. Discretization of such a Poisson equation results in a rank-deficient ill-conditioned matrix of coefficients. When a…
Pratik Suchde, Christian Leithäuser, Jörg Kuhnert, Stéphane Bordas
Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass conservation does not imply discrete volume conservation. On the other hand, meshfree collocation methods typically do not use any notion of…
Tommy Heck, Diego A. Vargas, Bart Smeets, Herman Ramon + 2 more
Actin protrusion dynamics plays an important role in the regulation of three-dimensional (3D) cell migration. Cells form protrusions that adhere to the surrounding extracellular matrix (ECM), mechanically probe the ECM and contract in order to displace the cell body. This results in cell migration that can be directed…
William A Wartman, Konstantin Weise, Manas Rachh, Leah Morales + 3 more
In our recent work pertinent to modeling of brain stimulation and neurophysiological recordings, substantial modeling errors in the computed electric field and potential have sometimes been observed for standard multi-compartment head models. The goal of this study is to quantify those errors and, further, eliminate…
James M. Mulqueeney, Thomas H. G. Ezard, Anjali Goswami
The study of phenotypic evolution has been transformed by methods allowing three-dimensional quantification of anatomical form. The present state-of-the-art 3D geometric morphometrics, which relies heavily on manual landmarking, is time-consuming, prone to operator bias, and cannot effectively compare disparate shapes.…
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…