The support integration scheme in the least-squares mesh-free method

2006 ◽  
Vol 43 (2) ◽  
pp. 127-144 ◽  
Author(s):  
Kie-Chan Kwon ◽  
Sang-Hoon Park ◽  
Sung-Kie Youn
Keyword(s):  
Least Squares ◽  
Integration Scheme ◽  
Mesh Free ◽  
Mesh Free Method

scholarly journals Least squares Kinetic Upwind Mesh-free Method

2010 ◽  
Vol 60 (6) ◽  
pp. 583-597 ◽  
Author(s):  
Suresh Deshpande ◽  
V Ramesh ◽  
Keshav Malagi ◽  
Konark Arora
Keyword(s):  
Least Squares ◽  
Mesh Free ◽  
Mesh Free Method

Plastic Collapse Analysis of Mindlin–Reissner Plates Using a Stabilized Mesh-Free Method

2016 ◽  
Vol 13 (01) ◽  
pp. 1650004
Author(s):  
C. V. Le ◽  
T. Q. Chu
Keyword(s):  
Numerical Procedure ◽  
Integration Scheme ◽  
Interior Point Algorithm ◽  
Various Boundary Conditions ◽  
Second Order Cone ◽  
Mesh Free ◽  
Collapse Analysis ◽  
Mesh Free Method ◽  
Primal Dual ◽  
Speed Up

This paper presents a numerical kinematic formulation for computation of collapse load of Mindlin–Reissner plates, that uses a stabilized mesh-free method in combination with second-order cone programming (SOCP). The kinematic formulation is discretized using a moving least squares approximation combined with a stabilized conforming nodal integration scheme, ensuring that shear locking problem at thin plate limit can be removed. The stabilized mesh-free based kinematic formulation is formulated as a conic problem so that it can be solved by an efficient primal-dual interior-point algorithm. To speed up computational progress, an adaptive refinement scheme using dissipation-based error indicator is also performed. The performance of the proposed numerical procedure is illustrated by examining several plates with arbitrary geometries and various boundary conditions.

Mesh-Free Method for Predicting the Behavior of Saturated Soil

Geomechanics ◽  
2005 ◽  
Author(s):  
Akira Murakami ◽  
Shin'ichi Arimoto ◽  
Tatsuya Setsuyasu ◽  
Tatsuro Nishiyama
Keyword(s):  
Saturated Soil ◽  
Mesh Free ◽  
Mesh Free Method

Parameter Identification by Inverse Analysis Coupled with a Finite Pointset Method for Polyurethane Foam Expansion

2014 ◽  
Vol 611-612 ◽  
pp. 868-875 ◽  
Author(s):  
Hichem Abdessalam ◽  
Boussad Abbès ◽  
Yu Ming Li ◽  
Ying Qiao Guo ◽  
Elvis Kwassi ◽  
...  
Keyword(s):  
Parameter Identification ◽  
Reaction Temperature ◽  
Inverse Analysis ◽  
Stokes Equations ◽  
Foam Height ◽  
Test Tube ◽  
Navier Stokes ◽  
Foam Expansion ◽  
Mesh Free ◽  
Mesh Free Method

This paper deals with the parameter identification for polyurethane foaming process simulation by using an inverse analysis coupled with a Finite Pointset Method. Simultaneous measurements of the foam height rise, the reaction temperature and the viscosity on a cylindrical cardboard test tube are obtained by using the foam measurement system (FOAMAT). The simulation of the foam expansion is obtained by solving unsteady Navier-Stokes equations coupled with the energy equation, the curing reaction (reaction of isocyanate with polyol) and the foaming reaction (reaction of isocyanate with water to emit the CO2 gas) by using a mesh-free method. The inverse identification method consists in determining the parameters by comparing the computed quantities (height rise, reaction temperature and viscosity) computed by the finite pointset method to those measured experimentally.

Approximation of the first eigenpair of the p(x)-Laplacian using WEB-spline based mesh-free method

2021 ◽  
Vol 131 ◽  
pp. 269-279
Author(s):  
Suchismita Patra ◽  
Naraveni Rajashekar ◽  
V.V.K. Srinivas Kumar
Keyword(s):  
Mesh Free ◽  
Mesh Free Method

scholarly journals Modelling Closed-Die Forging Operations Using Total Lagrangian Smooth Particle Hydrodynamics

2019 ◽  
Author(s):  
Anthony Manson
Keyword(s):  
Large Deformation ◽  
Smooth Particle Hydrodynamics ◽  
Material Flows ◽  
Forging Process ◽  
Mesh Free ◽  
Closed Die Forging ◽  
Particle Hydrodynamics ◽  
Mesh Free Method ◽  
Large Material ◽  
Simulation Parameters

Total Lagrangian Smooth Particle Hydrodynamics (TLSPH) has been applied to a set of non-trivial, commercially interesting forging examples.Being a mesh-free method, TLSPH can conveniently simulate processes having large deformation and material separation.Test cases were designed that were characterized by large material flows having large changes in grain connectivity.The implementation used, Smooth Mach Dynamics (SMD), provided tunable simulation parameters that enabled the simulation to optimally match each case.The results showed that the TLSPH/SMD has the potential to model the metal forging process efficiently without numerical instabilities.Each case studied required adaptation of the simulation parameters to optimize the results.

scholarly journals A Numerical Method for SolvingTwo-Dimensional Nonlinear Parabolic ProblemsBased on a Preconditioning Operator

2020 ◽  
Vol 25 (4) ◽  
pp. 531-545
Author(s):  
Amir Hossein Salehi Shayegan ◽  
Ali Zakeri ◽  
Seyed Mohammad Hosseini
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Problem ◽  
Time Variable ◽  
Two Dimensional ◽  
Helmholtz Operator ◽  
Mesh Free ◽  
Nonlinear Parabolic ◽  
Spline Finite Element ◽  
Mesh Free Method

This article considers a nonlinear system of elliptic problems, which is obtained by discretizing the time variable of a two-dimensional nonlinear parabolic problem. Since the system consists of ill-conditioned problems, therefore a stabilized, mesh-free method is proposed. The method is based on coupling the preconditioned Sobolev space gradient method and WEB-spline finite element method with Helmholtz operator as a preconditioner. The convergence and error analysis of the method are given. Finally, a numerical example is solved by this preconditioner to show the efficiency and accuracy of the proposed methods.

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