Geometrically-exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods [PDF]
, 2017 We develop an Optimal Transportation Meshfree (OTM) particle method for advection-diffusion in which the concentration or density of the diffusive species is approximated by Dirac measures.
Arroyo +24 more
core +3 more sources
Numerical simulation of dry laser derusting process based on SPH method
AIP Advances, 2023 Laser cleaning is an efficient, environmental-friendly, and non-contact surface treatment technology. Laser radiation and heating cause the surface material to heat up and gasify, separating it from the substrate. Traditional mesh-based numerical methods
Xiaoqiang Liu, Weigang Du
doaj +1 more source
Materials & Design, 2022 Shear assisted processing and extrusion (ShAPE) is a solid-phase processing technique that adds an additional shear force as compared with a conventional extrusion approach.
Lei Li +7 more
doaj +1 more source
On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods [PDF]
, 2013 We consider Lagrangian systems in the limit of infinitely many particles. It is shown that the corresponding discrete action functionals Gamma-converge to a continuum action functional acting on probability measures of particle trajectories.
Schmidt, Bernd
core +2 more sources
Application of the Godunov-Type Corrective Smoothed Particle Method to Impulsive Load Studies [PDF]
Journal of Applied Fluid Mechanics, 2022 The smoothed particle hydrodynamics (SPH) method is based on the kernel particle approximation, which is sensitive to the uniformity of the SPH particle distribution in the computational domain; that is, all SPH particles must be distributed evenly in ...
M. Zhang, J. M. Zhang
doaj +1 more source
A mesh-free simulation of mode I delamination of composite structures
Science and Engineering of Composite Materials, 2014 A numerical and experimental investigation for the analysis of delamination problem under mode I loading in composite material is presented. Firstly, the simulation of the delamination under mode I loading and failure of composite materials based on the ...
Hesar Goudarz Ghanizadeh +3 more
doaj +1 more source
On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations
, 2017 Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg +2 more
core +1 more source
Multiscale Partition of Unity [PDF]
, 2013 We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte +11 more
core +2 more sources
Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method
, 2015 A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic equations.
Hardt, Steffen +3 more
core +1 more source
An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T. +7 more
core +2 more sources