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

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.

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.

Minimization techniques for p(x)-Laplacian problem using WEB-Spline based mesh-free method

2019 ◽  
Vol 97 (3) ◽  
pp. 667-686 ◽  
Author(s):  
Rajashekar Naraveni ◽  
Sudhakar Chaudhary ◽  
V.V.K. Srinivas Kumar
Keyword(s):  
Mesh Free ◽  
Mesh Free Method

scholarly journals 3D Global Weak-Form Mesh-Free Method for Acoustic Attenuation Analysis of Expansion Chambers

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Chun-Hui Fang ◽  
Cheng-Yang Liu ◽  
Zhi Fang
Keyword(s):  
Transmission Loss ◽  
Interpolation Method ◽  
Weak Form ◽  
Computational Accuracy ◽  
Acoustic Attenuation ◽  
Expansion Chamber ◽  
Acoustic Characteristics ◽  
Acoustic Modes ◽  
Mesh Free ◽  
Mesh Free Method

In order to avoid the dependence of mesh method on grids, a 3D global weak-form mesh-free method (MFM) is applied to study the three-dimensional acoustic characteristics of silencers. For the expansion chamber silencers, the 3D acoustic modes are extracted and the transmission loss results are computed by using the 3D global weak-form (MFM), which is based on the radial basis function point interpolation method (RPIM) for calculating the shape functions and Galerkin method for discretizing the system equation. The first 15 order 3D acoustic modes and TL results of a special expansion chamber silencer are presented to validate the computational accuracy of the proposed technique, and the relative errors are controlled within 0.5% by comparing with the 3D finite element method (FEF) calculations. Additionally, the effects of axial modes on the acoustic characteristics are investigated, and the pass through frequencies can be eliminated to enhance the acoustic attenuation performance by locating the side branch outlet on the nodal lines of axial modes.

An Improved Element-Free Method for Compressing Cylindric Tube

2010 ◽  
Vol 145 ◽  
pp. 302-306
Author(s):  
Jian Hua Hu ◽  
Yuan Hua Shuang ◽  
Xiao Cheng Yang
Keyword(s):  
Present Method ◽  
Numerical Solutions ◽  
Essential Boundary Condition ◽  
Mesh Free ◽  
Good Accordance ◽  
Mesh Free Method ◽  
Integral Scheme ◽  
Element Free Method ◽  
Element Free ◽  
Computational Properties

In this paper, a description about improved element free Gerlink method (EFGM) is given. The method adopted penalty method to implement the essential boundary condition. The integral scheme takes Gauss background integration. Based on compressing the cylindric tube, the numerical model is calculated by finite element method (FEM) and EFGM. Comparisons of the deformation shape and stress of the both simulations showed good accordance. The numerical solutions show that the present method is a robust, reliable, stable mesh free method and possesses better computational properties compared with traditional FEM.

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